Author

Ingo Steldermann

Published

March 9, 2026

Raising buoy

Imports

Warning

You need to modify ZOOMY_AMREX_HOME below to point to your local AMReX installation This test case requires you to have cloned the ZoomyLab/zoomy-amrex subrepository git submodule update --init library/zoomy-amrex. This test case requires you to have cloned the ZoomyLab/data subrepository git submodule update --init data.

import os
os.environ["ZOOMY_AMREX_HOME"] = "/home/is086873/MBD/Git/amrex"
from pathlib import Path
import sys
import rasterio
import numpy as np
from sympy import Matrix
os.environ['ZoomyLog'] = 'Default'
os.environ['ZoomyLogLevel'] = 'INFO'
project_root = Path.cwd().parents[2]  # 0=current, 1=.., 2=../..
sys.path.append(str(project_root))
Load packages
import numpy as np
from sympy import Matrix, Identity

from zoomy_core.model.models.shallow_moments_topo import (
    ShallowMomentsTopo,
    NumericalShallowMomentsTopo,
)
from zoomy_core.model.custom_sympy_functions import conditional


from zoomy_core.fvm.symbolic_numerics import (
    PositiveNonconservativeRusanov,
    PositiveRusanov,
    Rusanov
)


import zoomy_core.model.initial_conditions as IC
import zoomy_core.model.boundary_conditions as BC
from zoomy_core.misc.misc import Zstruct, ZArray, get_main_directory, Settings
import zoomy_core.transformation.to_amrex as trafo
from tutorials.amrex.helper import create_artificial_raster, show_raster, transform_tiff

Create raster data (initial conditions)

main_dir = get_main_directory()

dem_path = os.path.join(main_dir, 'data/topography_artificial.tif')
ic_water_path = os.path.join(main_dir, 'data/release_artificial.tif')
ic_friction_path = os.path.join(main_dir, 'data/friction_artificial.tif')
N = 200
dx = 0.1
M = N * dx
rBuoy = 1.5
A_buoy = 3.14 * rBuoy**2
M_buoy = 10000
rho = 1000
factor_stress_zz_buoy_on_topography = M_buoy / A_buoy / rho
factor_stress_zz_buoy_on_topography = 0
friction_strength = 1000

def spacial_surface_friction(x,y):
    out = 0. * np.ones_like(x)
    # Xi = []
    # Di = []
    # for i in range(3):
    #     for j in range(10):
    #         Xi.append([i *20 -50, j * 20 -75 ])
    #         Di.append([5])
    Xi = [[3, 6], [-3, 0], [3, -6]]
    Di = [rBuoy, rBuoy, rBuoy]
    for i, xi in enumerate(Xi):
        r = np.sqrt((x-xi[0])**2 + (y-xi[1])**2)
        out += np.where(r < Di[i], friction_strength * np.ones_like(x), 0.0 * np.ones_like(x))
    return out

def buoy_normal_force(x,y):
    return np.where(spacial_surface_friction(x,y) > 0, factor_stress_zz_buoy_on_topography, 0.)

create_artificial_raster(lambda x, y: 5 - buoy_normal_force(x,y), (-M, M, -M, M), dx, ic_water_path)
# create_artificial_raster(lambda x, y: 0 * np.exp(-(x+M)**2/M**2), (-M, M, -M, M), dx, dem_path)
create_artificial_raster(lambda x, y: spacial_surface_friction(x,y), (-M, M, -M, M), dx, ic_friction_path)
create_artificial_raster(lambda x, y: buoy_normal_force(x,y), (-M, M, -M, M), dx, dem_path)


# show_raster(dem_path)
# show_raster(ic_water_path)
show_raster(ic_friction_path)

Model definition

import sympy as sp
u_mean = 0.0
A = 0.5
h_bc = lambda t:  A * sp.sin(2* 3.14 * t/4) + 5.
u_bc = lambda t: A * sp.sqrt(9.81 / 5) * sp.sin(2 * 3.14 * t / 4)

inflow_dict = {
    1: lambda t, x, dx, q, qaux, p, n: h_bc(t),
    2: lambda t, x, dx, q, qaux, p, n: h_bc(t) * u_bc(t),
}

bcs = BC.BoundaryConditions(
    [
        BC.Extrapolation(tag="N"),
        BC.Extrapolation(tag="S"),
        BC.Lambda(tag="W", prescribe_fields=inflow_dict),
        BC.Extrapolation(tag="E"),
    ]
)


class MyModel(NumericalShallowMomentsTopo):
    
    def flux(self):
        return self._regularize(super().flux())
    
    def nonconservative_matrix(self):
        return self._regularize(super().nonconservative_matrix())
    
    def update_variables(self):
        Q = self.variables
        h = Q[1]
        Qout = ZArray(Q)
        h = conditional(h <= 0, 0, h)
        Qout[1] = h
        eps = self.parameters.eps
        factor = h / (h + eps*100.)
        for i in range(2, self.n_variables):
            Qout[i] *= factor
        return Qout
    
    
    def update_aux_variables(self):
        Q = self.variables
        Qaux = ZArray(self.aux_variables)
        eps = self.parameters.eps
        Qaux[0] = Q[1] / (Q[1]**2 + eps)
        return ZArray(Qaux)
    
    def source(self):
        out = Matrix([0 for i in range(self.n_variables)])
        out += self.newtonian()
        # out += self.slip_mod()
        out += self.slip()
        out += self.surface_friction()
        return out
    
         

level = 4
model = MyModel(
    level=level,
    dimension=2,
    boundary_conditions=bcs,
    parameters=Zstruct(g=9.81, ez=1., nu=0.0001, lamda=1/1000., rho=1000, c_slipmod=1/30, C=300, eps=1e-6, M = 2000),
    aux_variables = ['hinv', 'friction'],
    
)
class Numerics(PositiveRusanov):
    def get_viscosity_identity_flux(self):
        Id = Matrix(Identity(self.model.n_variables))
        lvl = self.model.level
        offset = lvl + 1
        Id = 0 * Id
        Id[1, 1] = 1
        Id[2, 2] = 1
        Id[2 + offset, 2 + offset] = 1
        return ZArray(Id)

    def get_viscosity_identity_fluctuations(self):
        Id = Matrix(Identity(self.model.n_variables))
        Id[0, 0] = 0
        lvl = self.model.level
        offset = lvl + 1
        Id = 0 * Id
        Id[1, 1] = 0
        Id[2, 2] = 0
        Id[2 + offset, 2 + offset] = 0
        return ZArray(Id)


numerics = Numerics(model)

Code transformation and AMReX compilation

if you want to “clean” and compile from scratch, Comment in “make clean” two cells below.


import shutil
from pathlib import Path
settings = Settings(name="ShallowMoments", output=Zstruct(directory=f"outputs/amrex_{level}"))
source_dir = Path(os.path.join(main_dir, 'library/zoomy_amrex/Exec'))
output_dir = Path(os.path.join(main_dir, settings.output.directory))

if os.path.exists(output_dir):
    shutil.rmtree(output_dir)

trafo.AmrexModel.write_code(model, settings)
trafo.AmrexNumerics.write_code(numerics, settings)

# trafo.write_code(model, settings)
main_dir = get_main_directory()
os.environ['ZOOMY_AMREX_MODEL'] = os.path.join(main_dir, os.path.join(settings.output.directory, '.amrex_interface'))
2026-03-10 13:20:52.411 | WARNING  | zoomy_core.misc.misc:__init__:412 - No 'filename' attribute found in Settings.output Zstruct. Default: 'simulation'

2026-03-10 13:20:52.411 | WARNING  | zoomy_core.misc.misc:__init__:412 - No 'clean_directory' attribute found in Settings.output Zstruct. Default: 'False'

2026-03-10 13:20:52.411 | WARNING  | zoomy_core.misc.misc:__init__:412 - No 'snapshots' attribute found in Settings.output Zstruct. Default: '2'

What have we gained?

  • A C++ file containing the translation of our symbolical PDE model
  • A C++ file containing the translatoin of our numerical Riemann solver, including Wet-dry front treatment.

Let’s have a look at the code now!

Model.H

main_dir = get_main_directory()
path = os.path.join(main_dir, os.path.join(settings.output.directory, '.amrex_interface/Model.H'))
with open(path, "r") as f:
    print(f.read())
#pragma once
#include <AMReX_Array4.H>
#include <AMReX_Vector.H>
#include <AMReX_SmallMatrix.H>

#include <vector>
#include <string>
#include <algorithm>

#ifdef __CUDACC__
#define PORTABLE_FN __host__ __device__
#else
#define PORTABLE_FN
#endif


struct Model {
    using T = amrex::Real;
    static constexpr int n_dof_q    = 12;
    static constexpr int n_dof_qaux = 2;
    static constexpr int n_parameters = 9;
    static constexpr int dimension  = 2;
    static constexpr int n_boundary_tags = 4;
    static const std::vector<std::string> get_boundary_tags() { return { "E", "N", "S", "W" }; }
    static const std::vector<std::string> parameter_names() { return { "g", "ez", "nu", "lamda", "rho", "c_slipmod", "C", "eps", "M" }; }
    static const std::vector<T> default_parameters() { return { 9.81, 1.0, 0.0001, 0.001, 1000.0, 0.03333333333333333, 300.0, 1e-06, 2000.0 }; }

    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,24,1> flux(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p) noexcept
    {
    amrex::Real t0 = Qaux(0, 0)*Q(1, 0);
    amrex::Real t1 = amrex::Math::powi<2>(Qaux(0, 0))*Q(1, 0);
    amrex::Real t2 = amrex::Math::powi<2>(Q(3, 0))*t1;
    amrex::Real t3 = Q(2, 0)*t1;
    amrex::Real t4 = Q(3, 0)*t1;
    amrex::Real t5 = Q(8, 0)*t4;
    amrex::Real t6 = Q(7, 0)*t3 + (1.0/3.0)*t5;
    amrex::Real t7 = Q(7, 0)*t4 + Q(8, 0)*t3;
    amrex::Real t8 = (2.0/3.0)*t5;
    amrex::Real t9 = amrex::Math::powi<2>(Q(8, 0))*t1;
    amrex::SmallMatrix<amrex::Real,24,1> res;
    res(0, 0) = 0;
    res(1, 0) = 0;
    res(2, 0) = Q(2, 0)*t0;
    res(3, 0) = Q(7, 0)*t0;
    res(4, 0) = amrex::Math::powi<2>(Q(2, 0))*t1 + (1.0/3.0)*t2;
    res(5, 0) = t6;
    res(6, 0) = 2*Q(3, 0)*t3;
    res(7, 0) = t7;
    res(8, 0) = (2.0/3.0)*t2;
    res(9, 0) = t8;
    res(10, 0) = 0;
    res(11, 0) = 0;
    res(12, 0) = 0;
    res(13, 0) = 0;
    res(14, 0) = t6;
    res(15, 0) = amrex::Math::powi<2>(Q(7, 0))*t1 + (1.0/3.0)*t9;
    res(16, 0) = t7;
    res(17, 0) = 2*Q(7, 0)*Q(8, 0)*t1;
    res(18, 0) = t8;
    res(19, 0) = (2.0/3.0)*t9;
    res(20, 0) = 0;
    res(21, 0) = 0;
    res(22, 0) = 0;
    res(23, 0) = 0;
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,24,1> dflux(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p) noexcept
    {
    amrex::SmallMatrix<amrex::Real,24,1> res;
    res(0, 0) = 0;
    res(1, 0) = 0;
    res(2, 0) = 0;
    res(3, 0) = 0;
    res(4, 0) = 0;
    res(5, 0) = 0;
    res(6, 0) = 0;
    res(7, 0) = 0;
    res(8, 0) = 0;
    res(9, 0) = 0;
    res(10, 0) = 0;
    res(11, 0) = 0;
    res(12, 0) = 0;
    res(13, 0) = 0;
    res(14, 0) = 0;
    res(15, 0) = 0;
    res(16, 0) = 0;
    res(17, 0) = 0;
    res(18, 0) = 0;
    res(19, 0) = 0;
    res(20, 0) = 0;
    res(21, 0) = 0;
    res(22, 0) = 0;
    res(23, 0) = 0;
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,24,1> hydrostatic_pressure(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p) noexcept
    {
    amrex::Real t0 = (1.0/2.0)*p(1, 0)*p(0, 0)*amrex::Math::powi<2>(Q(1, 0));
    amrex::SmallMatrix<amrex::Real,24,1> res;
    res(0, 0) = 0;
    res(1, 0) = 0;
    res(2, 0) = 0;
    res(3, 0) = 0;
    res(4, 0) = t0;
    res(5, 0) = 0;
    res(6, 0) = 0;
    res(7, 0) = 0;
    res(8, 0) = 0;
    res(9, 0) = 0;
    res(10, 0) = 0;
    res(11, 0) = 0;
    res(12, 0) = 0;
    res(13, 0) = 0;
    res(14, 0) = 0;
    res(15, 0) = t0;
    res(16, 0) = 0;
    res(17, 0) = 0;
    res(18, 0) = 0;
    res(19, 0) = 0;
    res(20, 0) = 0;
    res(21, 0) = 0;
    res(22, 0) = 0;
    res(23, 0) = 0;
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,288,1> nonconservative_matrix(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p) noexcept
    {
    amrex::Real t0 = -Qaux(0, 0)*Q(2, 0);
    amrex::Real t1 = Qaux(0, 0)*Q(3, 0);
    amrex::Real t2 = (2.0/5.0)*t1;
    amrex::Real t3 = (5.0/7.0)*t1;
    amrex::Real t4 = -Qaux(0, 0)*Q(7, 0);
    amrex::Real t5 = Qaux(0, 0)*Q(8, 0);
    amrex::Real t6 = -1.0/5.0*t5;
    amrex::Real t7 = -3.0/7.0*t5;
    amrex::Real t8 = (6.0/5.0)*t5;
    amrex::Real t9 = -2.0/3.0*t5;
    amrex::Real t10 = (10.0/7.0)*t5;
    amrex::SmallMatrix<amrex::Real,288,1> res;
    res(0, 0) = 0;
    res(1, 0) = 0;
    res(2, 0) = 0;
    res(3, 0) = 0;
    res(4, 0) = 0;
    res(5, 0) = 0;
    res(6, 0) = 0;
    res(7, 0) = 0;
    res(8, 0) = 0;
    res(9, 0) = 0;
    res(10, 0) = 0;
    res(11, 0) = 0;
    res(12, 0) = 0;
    res(13, 0) = 0;
    res(14, 0) = 0;
    res(15, 0) = 0;
    res(16, 0) = 0;
    res(17, 0) = 0;
    res(18, 0) = 0;
    res(19, 0) = 0;
    res(20, 0) = 0;
    res(21, 0) = 0;
    res(22, 0) = 0;
    res(23, 0) = 0;
    res(24, 0) = 0;
    res(25, 0) = 0;
    res(26, 0) = 0;
    res(27, 0) = 0;
    res(28, 0) = 0;
    res(29, 0) = 0;
    res(30, 0) = 0;
    res(31, 0) = 0;
    res(32, 0) = 0;
    res(33, 0) = 0;
    res(34, 0) = 0;
    res(35, 0) = 0;
    res(36, 0) = 0;
    res(37, 0) = 0;
    res(38, 0) = 0;
    res(39, 0) = 0;
    res(40, 0) = 0;
    res(41, 0) = 0;
    res(42, 0) = 0;
    res(43, 0) = 0;
    res(44, 0) = 0;
    res(45, 0) = 0;
    res(46, 0) = 0;
    res(47, 0) = 0;
    res(48, 0) = 0;
    res(49, 0) = 0;
    res(50, 0) = 0;
    res(51, 0) = 0;
    res(52, 0) = 0;
    res(53, 0) = 0;
    res(54, 0) = 0;
    res(55, 0) = 0;
    res(56, 0) = 0;
    res(57, 0) = 0;
    res(58, 0) = 0;
    res(59, 0) = 0;
    res(60, 0) = 0;
    res(61, 0) = 0;
    res(62, 0) = 0;
    res(63, 0) = 0;
    res(64, 0) = 0;
    res(65, 0) = 0;
    res(66, 0) = 0;
    res(67, 0) = 0;
    res(68, 0) = 0;
    res(69, 0) = 0;
    res(70, 0) = 0;
    res(71, 0) = 0;
    res(72, 0) = 0;
    res(73, 0) = 0;
    res(74, 0) = 0;
    res(75, 0) = 0;
    res(76, 0) = 0;
    res(77, 0) = 0;
    res(78, 0) = t0;
    res(79, 0) = 0;
    res(80, 0) = -t2;
    res(81, 0) = 0;
    res(82, 0) = 0;
    res(83, 0) = 0;
    res(84, 0) = 0;
    res(85, 0) = 0;
    res(86, 0) = 0;
    res(87, 0) = 0;
    res(88, 0) = 0;
    res(89, 0) = t0;
    res(90, 0) = 0;
    res(91, 0) = -1.0/5.0*t1;
    res(92, 0) = 0;
    res(93, 0) = 0;
    res(94, 0) = 0;
    res(95, 0) = 0;
    res(96, 0) = 0;
    res(97, 0) = 0;
    res(98, 0) = 0;
    res(99, 0) = 0;
    res(100, 0) = 0;
    res(101, 0) = 0;
    res(102, 0) = 0;
    res(103, 0) = 0;
    res(104, 0) = t0;
    res(105, 0) = 0;
    res(106, 0) = -t3;
    res(107, 0) = 0;
    res(108, 0) = 0;
    res(109, 0) = 0;
    res(110, 0) = 0;
    res(111, 0) = 0;
    res(112, 0) = 0;
    res(113, 0) = t1;
    res(114, 0) = 0;
    res(115, 0) = t0;
    res(116, 0) = 0;
    res(117, 0) = -3.0/7.0*t1;
    res(118, 0) = 0;
    res(119, 0) = 0;
    res(120, 0) = 0;
    res(121, 0) = 0;
    res(122, 0) = 0;
    res(123, 0) = 0;
    res(124, 0) = 0;
    res(125, 0) = 0;
    res(126, 0) = 0;
    res(127, 0) = 0;
    res(128, 0) = t2;
    res(129, 0) = 0;
    res(130, 0) = t0;
    res(131, 0) = 0;
    res(132, 0) = -t1;
    res(133, 0) = 0;
    res(134, 0) = 0;
    res(135, 0) = 0;
    res(136, 0) = 0;
    res(137, 0) = 0;
    res(138, 0) = 0;
    res(139, 0) = (6.0/5.0)*t1;
    res(140, 0) = 0;
    res(141, 0) = t0;
    res(142, 0) = 0;
    res(143, 0) = -2.0/3.0*t1;
    res(144, 0) = 0;
    res(145, 0) = 0;
    res(146, 0) = 0;
    res(147, 0) = 0;
    res(148, 0) = 0;
    res(149, 0) = 0;
    res(150, 0) = 0;
    res(151, 0) = 0;
    res(152, 0) = 0;
    res(153, 0) = 0;
    res(154, 0) = t3;
    res(155, 0) = 0;
    res(156, 0) = t0;
    res(157, 0) = 0;
    res(158, 0) = 0;
    res(159, 0) = 0;
    res(160, 0) = 0;
    res(161, 0) = 0;
    res(162, 0) = 0;
    res(163, 0) = 0;
    res(164, 0) = 0;
    res(165, 0) = (10.0/7.0)*t1;
    res(166, 0) = 0;
    res(167, 0) = t0;
    res(168, 0) = 0;
    res(169, 0) = 0;
    res(170, 0) = 0;
    res(171, 0) = 0;
    res(172, 0) = 0;
    res(173, 0) = 0;
    res(174, 0) = 0;
    res(175, 0) = 0;
    res(176, 0) = 0;
    res(177, 0) = 0;
    res(178, 0) = 0;
    res(179, 0) = 0;
    res(180, 0) = 0;
    res(181, 0) = 0;
    res(182, 0) = 0;
    res(183, 0) = 0;
    res(184, 0) = 0;
    res(185, 0) = 0;
    res(186, 0) = 0;
    res(187, 0) = 0;
    res(188, 0) = 0;
    res(189, 0) = 0;
    res(190, 0) = 0;
    res(191, 0) = 0;
    res(192, 0) = 0;
    res(193, 0) = 0;
    res(194, 0) = 0;
    res(195, 0) = 0;
    res(196, 0) = 0;
    res(197, 0) = 0;
    res(198, 0) = t4;
    res(199, 0) = 0;
    res(200, 0) = t6;
    res(201, 0) = 0;
    res(202, 0) = 0;
    res(203, 0) = 0;
    res(204, 0) = 0;
    res(205, 0) = 0;
    res(206, 0) = 0;
    res(207, 0) = 0;
    res(208, 0) = 0;
    res(209, 0) = t4;
    res(210, 0) = 0;
    res(211, 0) = t6;
    res(212, 0) = 0;
    res(213, 0) = 0;
    res(214, 0) = 0;
    res(215, 0) = 0;
    res(216, 0) = 0;
    res(217, 0) = 0;
    res(218, 0) = 0;
    res(219, 0) = 0;
    res(220, 0) = 0;
    res(221, 0) = 0;
    res(222, 0) = t5;
    res(223, 0) = 0;
    res(224, 0) = t4;
    res(225, 0) = 0;
    res(226, 0) = t7;
    res(227, 0) = 0;
    res(228, 0) = 0;
    res(229, 0) = 0;
    res(230, 0) = 0;
    res(231, 0) = 0;
    res(232, 0) = 0;
    res(233, 0) = t5;
    res(234, 0) = 0;
    res(235, 0) = t4;
    res(236, 0) = 0;
    res(237, 0) = t7;
    res(238, 0) = 0;
    res(239, 0) = 0;
    res(240, 0) = 0;
    res(241, 0) = 0;
    res(242, 0) = 0;
    res(243, 0) = 0;
    res(244, 0) = 0;
    res(245, 0) = 0;
    res(246, 0) = 0;
    res(247, 0) = 0;
    res(248, 0) = t8;
    res(249, 0) = 0;
    res(250, 0) = t4;
    res(251, 0) = 0;
    res(252, 0) = t9;
    res(253, 0) = 0;
    res(254, 0) = 0;
    res(255, 0) = 0;
    res(256, 0) = 0;
    res(257, 0) = 0;
    res(258, 0) = 0;
    res(259, 0) = t8;
    res(260, 0) = 0;
    res(261, 0) = t4;
    res(262, 0) = 0;
    res(263, 0) = t9;
    res(264, 0) = 0;
    res(265, 0) = 0;
    res(266, 0) = 0;
    res(267, 0) = 0;
    res(268, 0) = 0;
    res(269, 0) = 0;
    res(270, 0) = 0;
    res(271, 0) = 0;
    res(272, 0) = 0;
    res(273, 0) = 0;
    res(274, 0) = t10;
    res(275, 0) = 0;
    res(276, 0) = t4;
    res(277, 0) = 0;
    res(278, 0) = 0;
    res(279, 0) = 0;
    res(280, 0) = 0;
    res(281, 0) = 0;
    res(282, 0) = 0;
    res(283, 0) = 0;
    res(284, 0) = 0;
    res(285, 0) = t10;
    res(286, 0) = 0;
    res(287, 0) = t4;
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,288,1> quasilinear_matrix(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p) noexcept
    {
    amrex::Real t0 = Qaux(0, 0)*Q(2, 0);
    amrex::Real t1 = Qaux(0, 0)*Q(7, 0);
    amrex::Real t2 = Qaux(0, 0)*Q(1, 0);
    amrex::Real t3 = p(1, 0)*p(0, 0)*Q(1, 0);
    amrex::Real t4 = amrex::Math::powi<2>(Qaux(0, 0));
    amrex::Real t5 = amrex::Math::powi<2>(Q(3, 0))*t4;
    amrex::Real t6 = Q(7, 0)*t4;
    amrex::Real t7 = Q(3, 0)*Q(8, 0)*t4;
    amrex::Real t8 = Q(2, 0)*t6 + (1.0/3.0)*t7;
    amrex::Real t9 = Q(2, 0)*t4;
    amrex::Real t10 = Q(1, 0)*t9;
    amrex::Real t11 = 2*t10;
    amrex::Real t12 = Q(1, 0)*t6;
    amrex::Real t13 = Q(1, 0)*t4;
    amrex::Real t14 = Q(3, 0)*t13;
    amrex::Real t15 = (2.0/3.0)*t14;
    amrex::Real t16 = Q(8, 0)*t13;
    amrex::Real t17 = (1.0/3.0)*t16;
    amrex::Real t18 = (1.0/3.0)*t14;
    amrex::Real t19 = Q(3, 0)*t6 + Q(8, 0)*t9;
    amrex::Real t20 = -t0;
    amrex::Real t21 = Qaux(0, 0)*Q(3, 0);
    amrex::Real t22 = (2.0/5.0)*t21;
    amrex::Real t23 = (2.0/3.0)*t7;
    amrex::Real t24 = (2.0/3.0)*t16;
    amrex::Real t25 = (5.0/7.0)*t21;
    amrex::Real t26 = amrex::Math::powi<2>(Q(8, 0))*t4;
    amrex::Real t27 = 2*t12;
    amrex::Real t28 = -t1;
    amrex::Real t29 = Qaux(0, 0)*Q(8, 0);
    amrex::Real t30 = -1.0/5.0*t29;
    amrex::Real t31 = -3.0/7.0*t29;
    amrex::Real t32 = (6.0/5.0)*t29;
    amrex::Real t33 = -2.0/3.0*t29;
    amrex::Real t34 = (10.0/7.0)*t29;
    amrex::SmallMatrix<amrex::Real,288,1> res;
    res(0, 0) = 0;
    res(1, 0) = 0;
    res(2, 0) = 0;
    res(3, 0) = 0;
    res(4, 0) = 0;
    res(5, 0) = 0;
    res(6, 0) = 0;
    res(7, 0) = 0;
    res(8, 0) = 0;
    res(9, 0) = 0;
    res(10, 0) = 0;
    res(11, 0) = 0;
    res(12, 0) = 0;
    res(13, 0) = 0;
    res(14, 0) = 0;
    res(15, 0) = 0;
    res(16, 0) = 0;
    res(17, 0) = 0;
    res(18, 0) = 0;
    res(19, 0) = 0;
    res(20, 0) = 0;
    res(21, 0) = 0;
    res(22, 0) = 0;
    res(23, 0) = 0;
    res(24, 0) = 0;
    res(25, 0) = 0;
    res(26, 0) = t0;
    res(27, 0) = t1;
    res(28, 0) = t2;
    res(29, 0) = 0;
    res(30, 0) = 0;
    res(31, 0) = 0;
    res(32, 0) = 0;
    res(33, 0) = 0;
    res(34, 0) = 0;
    res(35, 0) = 0;
    res(36, 0) = 0;
    res(37, 0) = 0;
    res(38, 0) = 0;
    res(39, 0) = t2;
    res(40, 0) = 0;
    res(41, 0) = 0;
    res(42, 0) = 0;
    res(43, 0) = 0;
    res(44, 0) = 0;
    res(45, 0) = 0;
    res(46, 0) = 0;
    res(47, 0) = 0;
    res(48, 0) = 0;
    res(49, 0) = 0;
    res(50, 0) = amrex::Math::powi<2>(Q(2, 0))*t4 + t3 + (1.0/3.0)*t5;
    res(51, 0) = t8;
    res(52, 0) = t11;
    res(53, 0) = t12;
    res(54, 0) = t15;
    res(55, 0) = t17;
    res(56, 0) = 0;
    res(57, 0) = 0;
    res(58, 0) = 0;
    res(59, 0) = 0;
    res(60, 0) = 0;
    res(61, 0) = 0;
    res(62, 0) = 0;
    res(63, 0) = t10;
    res(64, 0) = 0;
    res(65, 0) = t18;
    res(66, 0) = 0;
    res(67, 0) = 0;
    res(68, 0) = 0;
    res(69, 0) = 0;
    res(70, 0) = 0;
    res(71, 0) = 0;
    res(72, 0) = 0;
    res(73, 0) = 0;
    res(74, 0) = 2*Q(3, 0)*t9;
    res(75, 0) = t19;
    res(76, 0) = 2*t14;
    res(77, 0) = t16;
    res(78, 0) = t11 + t20;
    res(79, 0) = t12;
    res(80, 0) = -t22;
    res(81, 0) = 0;
    res(82, 0) = 0;
    res(83, 0) = 0;
    res(84, 0) = 0;
    res(85, 0) = 0;
    res(86, 0) = 0;
    res(87, 0) = t14;
    res(88, 0) = 0;
    res(89, 0) = t10 + t20;
    res(90, 0) = 0;
    res(91, 0) = -1.0/5.0*t21;
    res(92, 0) = 0;
    res(93, 0) = 0;
    res(94, 0) = 0;
    res(95, 0) = 0;
    res(96, 0) = 0;
    res(97, 0) = 0;
    res(98, 0) = (2.0/3.0)*t5;
    res(99, 0) = t23;
    res(100, 0) = 0;
    res(101, 0) = 0;
    res(102, 0) = (4.0/3.0)*t14;
    res(103, 0) = t24;
    res(104, 0) = t20;
    res(105, 0) = 0;
    res(106, 0) = -t25;
    res(107, 0) = 0;
    res(108, 0) = 0;
    res(109, 0) = 0;
    res(110, 0) = 0;
    res(111, 0) = 0;
    res(112, 0) = 0;
    res(113, 0) = t15 + t21;
    res(114, 0) = 0;
    res(115, 0) = t20;
    res(116, 0) = 0;
    res(117, 0) = -3.0/7.0*t21;
    res(118, 0) = 0;
    res(119, 0) = 0;
    res(120, 0) = 0;
    res(121, 0) = 0;
    res(122, 0) = 0;
    res(123, 0) = 0;
    res(124, 0) = 0;
    res(125, 0) = 0;
    res(126, 0) = 0;
    res(127, 0) = 0;
    res(128, 0) = t22;
    res(129, 0) = 0;
    res(130, 0) = t20;
    res(131, 0) = 0;
    res(132, 0) = -t21;
    res(133, 0) = 0;
    res(134, 0) = 0;
    res(135, 0) = 0;
    res(136, 0) = 0;
    res(137, 0) = 0;
    res(138, 0) = 0;
    res(139, 0) = (6.0/5.0)*t21;
    res(140, 0) = 0;
    res(141, 0) = t20;
    res(142, 0) = 0;
    res(143, 0) = -2.0/3.0*t21;
    res(144, 0) = 0;
    res(145, 0) = 0;
    res(146, 0) = 0;
    res(147, 0) = 0;
    res(148, 0) = 0;
    res(149, 0) = 0;
    res(150, 0) = 0;
    res(151, 0) = 0;
    res(152, 0) = 0;
    res(153, 0) = 0;
    res(154, 0) = t25;
    res(155, 0) = 0;
    res(156, 0) = t20;
    res(157, 0) = 0;
    res(158, 0) = 0;
    res(159, 0) = 0;
    res(160, 0) = 0;
    res(161, 0) = 0;
    res(162, 0) = 0;
    res(163, 0) = 0;
    res(164, 0) = 0;
    res(165, 0) = (10.0/7.0)*t21;
    res(166, 0) = 0;
    res(167, 0) = t20;
    res(168, 0) = 0;
    res(169, 0) = 0;
    res(170, 0) = t8;
    res(171, 0) = amrex::Math::powi<2>(Q(7, 0))*t4 + (1.0/3.0)*t26 + t3;
    res(172, 0) = t12;
    res(173, 0) = 0;
    res(174, 0) = t17;
    res(175, 0) = 0;
    res(176, 0) = 0;
    res(177, 0) = 0;
    res(178, 0) = 0;
    res(179, 0) = 0;
    res(180, 0) = 0;
    res(181, 0) = 0;
    res(182, 0) = t10;
    res(183, 0) = t27;
    res(184, 0) = t18;
    res(185, 0) = t24;
    res(186, 0) = 0;
    res(187, 0) = 0;
    res(188, 0) = 0;
    res(189, 0) = 0;
    res(190, 0) = 0;
    res(191, 0) = 0;
    res(192, 0) = 0;
    res(193, 0) = 0;
    res(194, 0) = t19;
    res(195, 0) = 2*Q(8, 0)*t6;
    res(196, 0) = t16;
    res(197, 0) = 0;
    res(198, 0) = t12 + t28;
    res(199, 0) = 0;
    res(200, 0) = t30;
    res(201, 0) = 0;
    res(202, 0) = 0;
    res(203, 0) = 0;
    res(204, 0) = 0;
    res(205, 0) = 0;
    res(206, 0) = t14;
    res(207, 0) = 2*t16;
    res(208, 0) = t10;
    res(209, 0) = t27 + t28;
    res(210, 0) = 0;
    res(211, 0) = t30;
    res(212, 0) = 0;
    res(213, 0) = 0;
    res(214, 0) = 0;
    res(215, 0) = 0;
    res(216, 0) = 0;
    res(217, 0) = 0;
    res(218, 0) = t23;
    res(219, 0) = (2.0/3.0)*t26;
    res(220, 0) = 0;
    res(221, 0) = 0;
    res(222, 0) = t24 + t29;
    res(223, 0) = 0;
    res(224, 0) = t28;
    res(225, 0) = 0;
    res(226, 0) = t31;
    res(227, 0) = 0;
    res(228, 0) = 0;
    res(229, 0) = 0;
    res(230, 0) = 0;
    res(231, 0) = 0;
    res(232, 0) = t15;
    res(233, 0) = (4.0/3.0)*t16 + t29;
    res(234, 0) = 0;
    res(235, 0) = t28;
    res(236, 0) = 0;
    res(237, 0) = t31;
    res(238, 0) = 0;
    res(239, 0) = 0;
    res(240, 0) = 0;
    res(241, 0) = 0;
    res(242, 0) = 0;
    res(243, 0) = 0;
    res(244, 0) = 0;
    res(245, 0) = 0;
    res(246, 0) = 0;
    res(247, 0) = 0;
    res(248, 0) = t32;
    res(249, 0) = 0;
    res(250, 0) = t28;
    res(251, 0) = 0;
    res(252, 0) = t33;
    res(253, 0) = 0;
    res(254, 0) = 0;
    res(255, 0) = 0;
    res(256, 0) = 0;
    res(257, 0) = 0;
    res(258, 0) = 0;
    res(259, 0) = t32;
    res(260, 0) = 0;
    res(261, 0) = t28;
    res(262, 0) = 0;
    res(263, 0) = t33;
    res(264, 0) = 0;
    res(265, 0) = 0;
    res(266, 0) = 0;
    res(267, 0) = 0;
    res(268, 0) = 0;
    res(269, 0) = 0;
    res(270, 0) = 0;
    res(271, 0) = 0;
    res(272, 0) = 0;
    res(273, 0) = 0;
    res(274, 0) = t34;
    res(275, 0) = 0;
    res(276, 0) = t28;
    res(277, 0) = 0;
    res(278, 0) = 0;
    res(279, 0) = 0;
    res(280, 0) = 0;
    res(281, 0) = 0;
    res(282, 0) = 0;
    res(283, 0) = 0;
    res(284, 0) = 0;
    res(285, 0) = t34;
    res(286, 0) = 0;
    res(287, 0) = t28;
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,12,1> eigenvalues(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p,
        amrex::SmallMatrix<amrex::Real,2,1> const& n) noexcept
    {
    amrex::Real t0 = Q(1, 0) > p(7, 0);
    amrex::Real t1 = ((t0) ? (0) : (0));
    amrex::Real t2 = (1.0 / amrex::Math::powi<1>(Q(1, 0)));
    amrex::Real t3 = n(0, 0)*Q(2, 0) + n(1, 0)*Q(4, 0);
    amrex::Real t4 = n(0, 0)*Q(3, 0);
    amrex::Real t5 = n(1, 0)*Q(5, 0);
    amrex::Real t6 = amrex::Math::powi<2>(n(0, 0));
    amrex::Real t7 = amrex::Math::powi<2>(n(1, 0));
    amrex::Real t8 = p(1, 0)*p(0, 0)*amrex::Math::powi<3>(Q(1, 0));
    amrex::Real t9 = std::pow(amrex::Math::powi<2>(Q(3, 0))*t6 + amrex::Math::powi<2>(Q(5, 0))*t7 + 2*t4*t5 + t6*t8 + t7*t8, 1.0/2.0);
    amrex::Real t10 = (1.0/3.0)*std::pow(3, 1.0/2.0);
    amrex::Real t11 = t10*t4;
    amrex::Real t12 = t10*t5;
    amrex::SmallMatrix<amrex::Real,12,1> res;
    res(0, 0) = t1;
    res(1, 0) = ((t0) ? (t2*t3) : (0));
    res(2, 0) = ((t0) ? (t2*(t3 - t9)) : (0));
    res(3, 0) = ((t0) ? (t2*(t3 + t9)) : (0));
    res(4, 0) = ((t0) ? (t2*(-t11 - t12 + t3)) : (0));
    res(5, 0) = ((t0) ? (t2*(t11 + t12 + t3)) : (0));
    res(6, 0) = t1;
    res(7, 0) = t1;
    res(8, 0) = t1;
    res(9, 0) = t1;
    res(10, 0) = t1;
    res(11, 0) = t1;
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,144,1> left_eigenvectors(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p,
        amrex::SmallMatrix<amrex::Real,2,1> const& n) noexcept
    {
    amrex::SmallMatrix<amrex::Real,144,1> res;
    res(0, 0) = 0;
    res(1, 0) = 0;
    res(2, 0) = 0;
    res(3, 0) = 0;
    res(4, 0) = 0;
    res(5, 0) = 0;
    res(6, 0) = 0;
    res(7, 0) = 0;
    res(8, 0) = 0;
    res(9, 0) = 0;
    res(10, 0) = 0;
    res(11, 0) = 0;
    res(12, 0) = 0;
    res(13, 0) = 0;
    res(14, 0) = 0;
    res(15, 0) = 0;
    res(16, 0) = 0;
    res(17, 0) = 0;
    res(18, 0) = 0;
    res(19, 0) = 0;
    res(20, 0) = 0;
    res(21, 0) = 0;
    res(22, 0) = 0;
    res(23, 0) = 0;
    res(24, 0) = 0;
    res(25, 0) = 0;
    res(26, 0) = 0;
    res(27, 0) = 0;
    res(28, 0) = 0;
    res(29, 0) = 0;
    res(30, 0) = 0;
    res(31, 0) = 0;
    res(32, 0) = 0;
    res(33, 0) = 0;
    res(34, 0) = 0;
    res(35, 0) = 0;
    res(36, 0) = 0;
    res(37, 0) = 0;
    res(38, 0) = 0;
    res(39, 0) = 0;
    res(40, 0) = 0;
    res(41, 0) = 0;
    res(42, 0) = 0;
    res(43, 0) = 0;
    res(44, 0) = 0;
    res(45, 0) = 0;
    res(46, 0) = 0;
    res(47, 0) = 0;
    res(48, 0) = 0;
    res(49, 0) = 0;
    res(50, 0) = 0;
    res(51, 0) = 0;
    res(52, 0) = 0;
    res(53, 0) = 0;
    res(54, 0) = 0;
    res(55, 0) = 0;
    res(56, 0) = 0;
    res(57, 0) = 0;
    res(58, 0) = 0;
    res(59, 0) = 0;
    res(60, 0) = 0;
    res(61, 0) = 0;
    res(62, 0) = 0;
    res(63, 0) = 0;
    res(64, 0) = 0;
    res(65, 0) = 0;
    res(66, 0) = 0;
    res(67, 0) = 0;
    res(68, 0) = 0;
    res(69, 0) = 0;
    res(70, 0) = 0;
    res(71, 0) = 0;
    res(72, 0) = 0;
    res(73, 0) = 0;
    res(74, 0) = 0;
    res(75, 0) = 0;
    res(76, 0) = 0;
    res(77, 0) = 0;
    res(78, 0) = 0;
    res(79, 0) = 0;
    res(80, 0) = 0;
    res(81, 0) = 0;
    res(82, 0) = 0;
    res(83, 0) = 0;
    res(84, 0) = 0;
    res(85, 0) = 0;
    res(86, 0) = 0;
    res(87, 0) = 0;
    res(88, 0) = 0;
    res(89, 0) = 0;
    res(90, 0) = 0;
    res(91, 0) = 0;
    res(92, 0) = 0;
    res(93, 0) = 0;
    res(94, 0) = 0;
    res(95, 0) = 0;
    res(96, 0) = 0;
    res(97, 0) = 0;
    res(98, 0) = 0;
    res(99, 0) = 0;
    res(100, 0) = 0;
    res(101, 0) = 0;
    res(102, 0) = 0;
    res(103, 0) = 0;
    res(104, 0) = 0;
    res(105, 0) = 0;
    res(106, 0) = 0;
    res(107, 0) = 0;
    res(108, 0) = 0;
    res(109, 0) = 0;
    res(110, 0) = 0;
    res(111, 0) = 0;
    res(112, 0) = 0;
    res(113, 0) = 0;
    res(114, 0) = 0;
    res(115, 0) = 0;
    res(116, 0) = 0;
    res(117, 0) = 0;
    res(118, 0) = 0;
    res(119, 0) = 0;
    res(120, 0) = 0;
    res(121, 0) = 0;
    res(122, 0) = 0;
    res(123, 0) = 0;
    res(124, 0) = 0;
    res(125, 0) = 0;
    res(126, 0) = 0;
    res(127, 0) = 0;
    res(128, 0) = 0;
    res(129, 0) = 0;
    res(130, 0) = 0;
    res(131, 0) = 0;
    res(132, 0) = 0;
    res(133, 0) = 0;
    res(134, 0) = 0;
    res(135, 0) = 0;
    res(136, 0) = 0;
    res(137, 0) = 0;
    res(138, 0) = 0;
    res(139, 0) = 0;
    res(140, 0) = 0;
    res(141, 0) = 0;
    res(142, 0) = 0;
    res(143, 0) = 0;
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,144,1> right_eigenvectors(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p,
        amrex::SmallMatrix<amrex::Real,2,1> const& n) noexcept
    {
    amrex::SmallMatrix<amrex::Real,144,1> res;
    res(0, 0) = 0;
    res(1, 0) = 0;
    res(2, 0) = 0;
    res(3, 0) = 0;
    res(4, 0) = 0;
    res(5, 0) = 0;
    res(6, 0) = 0;
    res(7, 0) = 0;
    res(8, 0) = 0;
    res(9, 0) = 0;
    res(10, 0) = 0;
    res(11, 0) = 0;
    res(12, 0) = 0;
    res(13, 0) = 0;
    res(14, 0) = 0;
    res(15, 0) = 0;
    res(16, 0) = 0;
    res(17, 0) = 0;
    res(18, 0) = 0;
    res(19, 0) = 0;
    res(20, 0) = 0;
    res(21, 0) = 0;
    res(22, 0) = 0;
    res(23, 0) = 0;
    res(24, 0) = 0;
    res(25, 0) = 0;
    res(26, 0) = 0;
    res(27, 0) = 0;
    res(28, 0) = 0;
    res(29, 0) = 0;
    res(30, 0) = 0;
    res(31, 0) = 0;
    res(32, 0) = 0;
    res(33, 0) = 0;
    res(34, 0) = 0;
    res(35, 0) = 0;
    res(36, 0) = 0;
    res(37, 0) = 0;
    res(38, 0) = 0;
    res(39, 0) = 0;
    res(40, 0) = 0;
    res(41, 0) = 0;
    res(42, 0) = 0;
    res(43, 0) = 0;
    res(44, 0) = 0;
    res(45, 0) = 0;
    res(46, 0) = 0;
    res(47, 0) = 0;
    res(48, 0) = 0;
    res(49, 0) = 0;
    res(50, 0) = 0;
    res(51, 0) = 0;
    res(52, 0) = 0;
    res(53, 0) = 0;
    res(54, 0) = 0;
    res(55, 0) = 0;
    res(56, 0) = 0;
    res(57, 0) = 0;
    res(58, 0) = 0;
    res(59, 0) = 0;
    res(60, 0) = 0;
    res(61, 0) = 0;
    res(62, 0) = 0;
    res(63, 0) = 0;
    res(64, 0) = 0;
    res(65, 0) = 0;
    res(66, 0) = 0;
    res(67, 0) = 0;
    res(68, 0) = 0;
    res(69, 0) = 0;
    res(70, 0) = 0;
    res(71, 0) = 0;
    res(72, 0) = 0;
    res(73, 0) = 0;
    res(74, 0) = 0;
    res(75, 0) = 0;
    res(76, 0) = 0;
    res(77, 0) = 0;
    res(78, 0) = 0;
    res(79, 0) = 0;
    res(80, 0) = 0;
    res(81, 0) = 0;
    res(82, 0) = 0;
    res(83, 0) = 0;
    res(84, 0) = 0;
    res(85, 0) = 0;
    res(86, 0) = 0;
    res(87, 0) = 0;
    res(88, 0) = 0;
    res(89, 0) = 0;
    res(90, 0) = 0;
    res(91, 0) = 0;
    res(92, 0) = 0;
    res(93, 0) = 0;
    res(94, 0) = 0;
    res(95, 0) = 0;
    res(96, 0) = 0;
    res(97, 0) = 0;
    res(98, 0) = 0;
    res(99, 0) = 0;
    res(100, 0) = 0;
    res(101, 0) = 0;
    res(102, 0) = 0;
    res(103, 0) = 0;
    res(104, 0) = 0;
    res(105, 0) = 0;
    res(106, 0) = 0;
    res(107, 0) = 0;
    res(108, 0) = 0;
    res(109, 0) = 0;
    res(110, 0) = 0;
    res(111, 0) = 0;
    res(112, 0) = 0;
    res(113, 0) = 0;
    res(114, 0) = 0;
    res(115, 0) = 0;
    res(116, 0) = 0;
    res(117, 0) = 0;
    res(118, 0) = 0;
    res(119, 0) = 0;
    res(120, 0) = 0;
    res(121, 0) = 0;
    res(122, 0) = 0;
    res(123, 0) = 0;
    res(124, 0) = 0;
    res(125, 0) = 0;
    res(126, 0) = 0;
    res(127, 0) = 0;
    res(128, 0) = 0;
    res(129, 0) = 0;
    res(130, 0) = 0;
    res(131, 0) = 0;
    res(132, 0) = 0;
    res(133, 0) = 0;
    res(134, 0) = 0;
    res(135, 0) = 0;
    res(136, 0) = 0;
    res(137, 0) = 0;
    res(138, 0) = 0;
    res(139, 0) = 0;
    res(140, 0) = 0;
    res(141, 0) = 0;
    res(142, 0) = 0;
    res(143, 0) = 0;
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,12,1> source(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p) noexcept
    {
    amrex::Real t0 = Qaux(0, 0)*Q(2, 0);
    amrex::Real t1 = (1.0 / amrex::Math::powi<1>(p(4, 0)));
    amrex::Real t2 = t1/p(3, 0);
    amrex::Real t3 = t0*t2;
    amrex::Real t4 = 1.0*Qaux(0, 0);
    amrex::Real t5 = Q(3, 0)*t4;
    amrex::Real t6 = Q(4, 0)*t4;
    amrex::Real t7 = Q(5, 0)*t4;
    amrex::Real t8 = Q(6, 0)*t4;
    amrex::Real t9 = t0 - t5 + t6 - t7 + t8;
    amrex::Real t10 = Qaux(1, 0)*t1;
    amrex::Real t11 = t10*t9;
    amrex::Real t12 = amrex::Math::powi<2>(Qaux(0, 0))*p(2, 0);
    amrex::Real t13 = 12*t12;
    amrex::Real t14 = Qaux(0, 0)*t2;
    amrex::Real t15 = 3.0*t14;
    amrex::Real t16 = 60*t12;
    amrex::Real t17 = 5.0*t14;
    amrex::Real t18 = 28*t12;
    amrex::Real t19 = 168*t12;
    amrex::Real t20 = 7.0*t14;
    amrex::Real t21 = 108*t12;
    amrex::Real t22 = 360*t12;
    amrex::Real t23 = 9.0*t14;
    amrex::Real t24 = Q(10, 0)*t4;
    amrex::Real t25 = Q(11, 0)*t4;
    amrex::Real t26 = Qaux(0, 0)*Q(7, 0);
    amrex::Real t27 = t2*t26;
    amrex::Real t28 = Q(8, 0)*t4;
    amrex::Real t29 = Q(9, 0)*t4;
    amrex::Real t30 = -t24 + t25 + t26 - t28 + t29;
    amrex::Real t31 = t10*t30;
    amrex::SmallMatrix<amrex::Real,12,1> res;
    res(0, 0) = 0;
    res(1, 0) = 0;
    res(2, 0) = -5.0*t11 - t2*t5 - t2*t6 - t2*t7 - t2*t8 - 1.0*t3;
    res(3, 0) = 15.0*Qaux(1, 0)*t1*t9 - Q(3, 0)*t13 - Q(3, 0)*t15 - Q(4, 0)*t15 - Q(5, 0)*t13 - Q(5, 0)*t15 - Q(6, 0)*t15 - 3.0*t3;
    res(4, 0) = -Q(3, 0)*t17 - Q(4, 0)*t16 - Q(4, 0)*t17 - Q(5, 0)*t17 - Q(6, 0)*t16 - Q(6, 0)*t17 - 25.0*t11 - 5.0*t3;
    res(5, 0) = 35.0*Qaux(1, 0)*t1*t9 - Q(3, 0)*t18 - Q(3, 0)*t20 - Q(4, 0)*t20 - Q(5, 0)*t19 - Q(5, 0)*t20 - Q(6, 0)*t20 - 7.0*t3;
    res(6, 0) = -Q(3, 0)*t23 - Q(4, 0)*t21 - Q(4, 0)*t23 - Q(5, 0)*t23 - Q(6, 0)*t22 - Q(6, 0)*t23 - 45.0*t11 - 9.0*t3;
    res(7, 0) = -t2*t24 - t2*t25 - t2*t28 - t2*t29 - 1.0*t27 - 5.0*t31;
    res(8, 0) = 15.0*Qaux(1, 0)*t1*t30 - Q(10, 0)*t13 - Q(10, 0)*t15 - Q(11, 0)*t15 - Q(8, 0)*t13 - Q(8, 0)*t15 - Q(9, 0)*t15 - 3.0*t27;
    res(9, 0) = -Q(10, 0)*t17 - Q(11, 0)*t16 - Q(11, 0)*t17 - Q(8, 0)*t17 - Q(9, 0)*t16 - Q(9, 0)*t17 - 5.0*t27 - 25.0*t31;
    res(10, 0) = 35.0*Qaux(1, 0)*t1*t30 - Q(10, 0)*t19 - Q(10, 0)*t20 - Q(11, 0)*t20 - Q(8, 0)*t18 - Q(8, 0)*t20 - Q(9, 0)*t20 - 7.0*t27;
    res(11, 0) = -Q(10, 0)*t23 - Q(11, 0)*t22 - Q(11, 0)*t23 - Q(8, 0)*t23 - Q(9, 0)*t21 - Q(9, 0)*t23 - 9.0*t27 - 45.0*t31;
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,144,1> source_jacobian_wrt_variables(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p) noexcept
    {
    amrex::Real t0 = Qaux(0, 0)/p(4, 0);
    amrex::Real t1 = Qaux(1, 0)*t0;
    amrex::Real t2 = 5.0*t1;
    amrex::Real t3 = t0/p(3, 0);
    amrex::Real t4 = 1.0*t3;
    amrex::Real t5 = -t2 - t4;
    amrex::Real t6 = 15.0*t1;
    amrex::Real t7 = 3.0*t3;
    amrex::Real t8 = t6 - t7;
    amrex::Real t9 = 25.0*t1;
    amrex::Real t10 = 5.0*t3;
    amrex::Real t11 = t10 + t9;
    amrex::Real t12 = -t11;
    amrex::Real t13 = 35.0*t1;
    amrex::Real t14 = 7.0*t3;
    amrex::Real t15 = t13 - t14;
    amrex::Real t16 = 45.0*t1;
    amrex::Real t17 = 9.0*t3;
    amrex::Real t18 = t16 + t17;
    amrex::Real t19 = -t18;
    amrex::Real t20 = t2 - t4;
    amrex::Real t21 = amrex::Math::powi<2>(Qaux(0, 0))*p(2, 0);
    amrex::Real t22 = -12*t21 - t6 - t7;
    amrex::Real t23 = -t10 + t9;
    amrex::Real t24 = t13 + t14;
    amrex::Real t25 = -28*t21 - t24;
    amrex::Real t26 = t16 - t17;
    amrex::Real t27 = -t11 - 60*t21;
    amrex::Real t28 = -t18 - 108*t21;
    amrex::Real t29 = -168*t21 - t24;
    amrex::Real t30 = -t18 - 360*t21;
    amrex::SmallMatrix<amrex::Real,144,1> res;
    res(0, 0) = 0;
    res(1, 0) = 0;
    res(2, 0) = 0;
    res(3, 0) = 0;
    res(4, 0) = 0;
    res(5, 0) = 0;
    res(6, 0) = 0;
    res(7, 0) = 0;
    res(8, 0) = 0;
    res(9, 0) = 0;
    res(10, 0) = 0;
    res(11, 0) = 0;
    res(12, 0) = 0;
    res(13, 0) = 0;
    res(14, 0) = 0;
    res(15, 0) = 0;
    res(16, 0) = 0;
    res(17, 0) = 0;
    res(18, 0) = 0;
    res(19, 0) = 0;
    res(20, 0) = 0;
    res(21, 0) = 0;
    res(22, 0) = 0;
    res(23, 0) = 0;
    res(24, 0) = 0;
    res(25, 0) = 0;
    res(26, 0) = t5;
    res(27, 0) = t8;
    res(28, 0) = t12;
    res(29, 0) = t15;
    res(30, 0) = t19;
    res(31, 0) = 0;
    res(32, 0) = 0;
    res(33, 0) = 0;
    res(34, 0) = 0;
    res(35, 0) = 0;
    res(36, 0) = 0;
    res(37, 0) = 0;
    res(38, 0) = t20;
    res(39, 0) = t22;
    res(40, 0) = t23;
    res(41, 0) = t25;
    res(42, 0) = t26;
    res(43, 0) = 0;
    res(44, 0) = 0;
    res(45, 0) = 0;
    res(46, 0) = 0;
    res(47, 0) = 0;
    res(48, 0) = 0;
    res(49, 0) = 0;
    res(50, 0) = t5;
    res(51, 0) = t8;
    res(52, 0) = t27;
    res(53, 0) = t15;
    res(54, 0) = t28;
    res(55, 0) = 0;
    res(56, 0) = 0;
    res(57, 0) = 0;
    res(58, 0) = 0;
    res(59, 0) = 0;
    res(60, 0) = 0;
    res(61, 0) = 0;
    res(62, 0) = t20;
    res(63, 0) = t22;
    res(64, 0) = t23;
    res(65, 0) = t29;
    res(66, 0) = t26;
    res(67, 0) = 0;
    res(68, 0) = 0;
    res(69, 0) = 0;
    res(70, 0) = 0;
    res(71, 0) = 0;
    res(72, 0) = 0;
    res(73, 0) = 0;
    res(74, 0) = t5;
    res(75, 0) = t8;
    res(76, 0) = t27;
    res(77, 0) = t15;
    res(78, 0) = t30;
    res(79, 0) = 0;
    res(80, 0) = 0;
    res(81, 0) = 0;
    res(82, 0) = 0;
    res(83, 0) = 0;
    res(84, 0) = 0;
    res(85, 0) = 0;
    res(86, 0) = 0;
    res(87, 0) = 0;
    res(88, 0) = 0;
    res(89, 0) = 0;
    res(90, 0) = 0;
    res(91, 0) = t5;
    res(92, 0) = t8;
    res(93, 0) = t12;
    res(94, 0) = t15;
    res(95, 0) = t19;
    res(96, 0) = 0;
    res(97, 0) = 0;
    res(98, 0) = 0;
    res(99, 0) = 0;
    res(100, 0) = 0;
    res(101, 0) = 0;
    res(102, 0) = 0;
    res(103, 0) = t20;
    res(104, 0) = t22;
    res(105, 0) = t23;
    res(106, 0) = t25;
    res(107, 0) = t26;
    res(108, 0) = 0;
    res(109, 0) = 0;
    res(110, 0) = 0;
    res(111, 0) = 0;
    res(112, 0) = 0;
    res(113, 0) = 0;
    res(114, 0) = 0;
    res(115, 0) = t5;
    res(116, 0) = t8;
    res(117, 0) = t27;
    res(118, 0) = t15;
    res(119, 0) = t28;
    res(120, 0) = 0;
    res(121, 0) = 0;
    res(122, 0) = 0;
    res(123, 0) = 0;
    res(124, 0) = 0;
    res(125, 0) = 0;
    res(126, 0) = 0;
    res(127, 0) = t20;
    res(128, 0) = t22;
    res(129, 0) = t23;
    res(130, 0) = t29;
    res(131, 0) = t26;
    res(132, 0) = 0;
    res(133, 0) = 0;
    res(134, 0) = 0;
    res(135, 0) = 0;
    res(136, 0) = 0;
    res(137, 0) = 0;
    res(138, 0) = 0;
    res(139, 0) = t5;
    res(140, 0) = t8;
    res(141, 0) = t27;
    res(142, 0) = t15;
    res(143, 0) = t30;
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,24,1> source_jacobian_wrt_aux_variables(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p) noexcept
    {
    amrex::Real t0 = (1.0 / amrex::Math::powi<1>(p(4, 0)));
    amrex::Real t1 = t0/p(3, 0);
    amrex::Real t2 = Q(2, 0)*t1;
    amrex::Real t3 = 1.0*Q(3, 0);
    amrex::Real t4 = 1.0*Q(4, 0);
    amrex::Real t5 = 1.0*Q(5, 0);
    amrex::Real t6 = 1.0*Q(6, 0);
    amrex::Real t7 = Q(2, 0) - t3 + t4 - t5 + t6;
    amrex::Real t8 = Qaux(1, 0)*t0;
    amrex::Real t9 = t7*t8;
    amrex::Real t10 = Qaux(0, 0)*p(2, 0);
    amrex::Real t11 = 24*t10;
    amrex::Real t12 = 3.0*t1;
    amrex::Real t13 = 120*t10;
    amrex::Real t14 = 5.0*t1;
    amrex::Real t15 = 56*t10;
    amrex::Real t16 = 336*t10;
    amrex::Real t17 = 7.0*t1;
    amrex::Real t18 = 216*t10;
    amrex::Real t19 = 720*t10;
    amrex::Real t20 = 9.0*t1;
    amrex::Real t21 = 1.0*Q(10, 0);
    amrex::Real t22 = 1.0*Q(11, 0);
    amrex::Real t23 = 1.0*Q(8, 0);
    amrex::Real t24 = 1.0*Q(9, 0);
    amrex::Real t25 = Q(7, 0) - t21 + t22 - t23 + t24;
    amrex::Real t26 = t25*t8;
    amrex::Real t27 = 5.0*Qaux(0, 0);
    amrex::Real t28 = 15.0*Qaux(0, 0);
    amrex::Real t29 = 25.0*Qaux(0, 0);
    amrex::Real t30 = 35.0*Qaux(0, 0);
    amrex::Real t31 = 45.0*Qaux(0, 0);
    amrex::SmallMatrix<amrex::Real,24,1> res;
    res(0, 0) = 0;
    res(1, 0) = 0;
    res(2, 0) = -t1*t3 - t1*t4 - t1*t5 - t1*t6 - 1.0*t2 - 5.0*t9;
    res(3, 0) = 15.0*Qaux(1, 0)*t0*t7 - Q(3, 0)*t11 - Q(3, 0)*t12 - Q(4, 0)*t12 - Q(5, 0)*t11 - Q(5, 0)*t12 - Q(6, 0)*t12 - 3.0*t2;
    res(4, 0) = -Q(3, 0)*t14 - Q(4, 0)*t13 - Q(4, 0)*t14 - Q(5, 0)*t14 - Q(6, 0)*t13 - Q(6, 0)*t14 - 5.0*t2 - 25.0*t9;
    res(5, 0) = 35.0*Qaux(1, 0)*t0*t7 - Q(3, 0)*t15 - Q(3, 0)*t17 - Q(4, 0)*t17 - Q(5, 0)*t16 - Q(5, 0)*t17 - Q(6, 0)*t17 - 7.0*t2;
    res(6, 0) = -Q(3, 0)*t20 - Q(4, 0)*t18 - Q(4, 0)*t20 - Q(5, 0)*t20 - Q(6, 0)*t19 - Q(6, 0)*t20 - 9.0*t2 - 45.0*t9;
    res(7, 0) = -1.0*Q(7, 0)*t1 - t1*t21 - t1*t22 - t1*t23 - t1*t24 - 5.0*t26;
    res(8, 0) = 15.0*Qaux(1, 0)*t0*t25 - Q(10, 0)*t11 - Q(10, 0)*t12 - Q(11, 0)*t12 - Q(7, 0)*t12 - Q(8, 0)*t11 - Q(8, 0)*t12 - Q(9, 0)*t12;
    res(9, 0) = -Q(10, 0)*t14 - Q(11, 0)*t13 - Q(11, 0)*t14 - Q(7, 0)*t14 - Q(8, 0)*t14 - Q(9, 0)*t13 - Q(9, 0)*t14 - 25.0*t26;
    res(10, 0) = 35.0*Qaux(1, 0)*t0*t25 - Q(10, 0)*t16 - Q(10, 0)*t17 - Q(11, 0)*t17 - Q(7, 0)*t17 - Q(8, 0)*t15 - Q(8, 0)*t17 - Q(9, 0)*t17;
    res(11, 0) = -Q(10, 0)*t20 - Q(11, 0)*t19 - Q(11, 0)*t20 - Q(7, 0)*t20 - Q(8, 0)*t20 - Q(9, 0)*t18 - Q(9, 0)*t20 - 45.0*t26;
    res(12, 0) = 0;
    res(13, 0) = 0;
    res(14, 0) = t0*(5.0*Qaux(0, 0)*Q(3, 0) + 5.0*Qaux(0, 0)*Q(5, 0) - Q(2, 0)*t27 - Q(4, 0)*t27 - Q(6, 0)*t27);
    res(15, 0) = t0*(Q(2, 0)*t28 - Q(3, 0)*t28 + Q(4, 0)*t28 - Q(5, 0)*t28 + Q(6, 0)*t28);
    res(16, 0) = t0*(25.0*Qaux(0, 0)*Q(3, 0) + 25.0*Qaux(0, 0)*Q(5, 0) - Q(2, 0)*t29 - Q(4, 0)*t29 - Q(6, 0)*t29);
    res(17, 0) = t0*(Q(2, 0)*t30 - Q(3, 0)*t30 + Q(4, 0)*t30 - Q(5, 0)*t30 + Q(6, 0)*t30);
    res(18, 0) = t0*(45.0*Qaux(0, 0)*Q(3, 0) + 45.0*Qaux(0, 0)*Q(5, 0) - Q(2, 0)*t31 - Q(4, 0)*t31 - Q(6, 0)*t31);
    res(19, 0) = t0*(5.0*Qaux(0, 0)*Q(10, 0) + 5.0*Qaux(0, 0)*Q(8, 0) - Q(11, 0)*t27 - Q(7, 0)*t27 - Q(9, 0)*t27);
    res(20, 0) = t0*(-Q(10, 0)*t28 + Q(11, 0)*t28 + Q(7, 0)*t28 - Q(8, 0)*t28 + Q(9, 0)*t28);
    res(21, 0) = t0*(25.0*Qaux(0, 0)*Q(10, 0) + 25.0*Qaux(0, 0)*Q(8, 0) - Q(11, 0)*t29 - Q(7, 0)*t29 - Q(9, 0)*t29);
    res(22, 0) = t0*(-Q(10, 0)*t30 + Q(11, 0)*t30 + Q(7, 0)*t30 - Q(8, 0)*t30 + Q(9, 0)*t30);
    res(23, 0) = t0*(45.0*Qaux(0, 0)*Q(10, 0) + 45.0*Qaux(0, 0)*Q(8, 0) - Q(11, 0)*t31 - Q(7, 0)*t31 - Q(9, 0)*t31);
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,6,1> project_2d_to_3d(
        amrex::SmallMatrix<amrex::Real,3,1> const& X,
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p) noexcept
    {
    amrex::Real t0 = 2*X(2, 0) - 1;
    amrex::Real t1 = -Qaux(0, 0)*t0;
    amrex::Real t2 = amrex::Math::powi<2>(t0);
    amrex::Real t3 = Qaux(0, 0)*(1.5*t2 - 0.5);
    amrex::Real t4 = Qaux(0, 0)*(3*X(2, 0) - 2.5*amrex::Math::powi<3>(t0) - 1.5);
    amrex::Real t5 = Qaux(0, 0)*(4.375*amrex::Math::powi<4>(t0) - 3.75*t2 + 0.375);
    amrex::SmallMatrix<amrex::Real,6,1> res;
    res(0, 0) = Q(0, 0);
    res(1, 0) = Q(1, 0);
    res(2, 0) = Qaux(0, 0)*Q(2, 0) + Q(3, 0)*t1 + Q(4, 0)*t3 + Q(5, 0)*t4 + Q(6, 0)*t5;
    res(3, 0) = Qaux(0, 0)*Q(7, 0) + Q(10, 0)*t4 + Q(11, 0)*t5 + Q(8, 0)*t1 + Q(9, 0)*t3;
    res(4, 0) = 0;
    res(5, 0) = 9810.0*Q(1, 0)*(1 - X(2, 0));
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,12,1> project_3d_to_2d(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p) noexcept
    {
    amrex::SmallMatrix<amrex::Real,12,1> res;
    res(0, 0) = 0;
    res(1, 0) = 0;
    res(2, 0) = 0;
    res(3, 0) = 0;
    res(4, 0) = 0;
    res(5, 0) = 0;
    res(6, 0) = 0;
    res(7, 0) = 0;
    res(8, 0) = 0;
    res(9, 0) = 0;
    res(10, 0) = 0;
    res(11, 0) = 0;
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,12,1> residual(
        amrex::Real const time,
        amrex::SmallMatrix<amrex::Real,3,1> const& X,
        amrex::Real const dX,
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p) noexcept
    {
    amrex::SmallMatrix<amrex::Real,12,1> res;
    res(0, 0) = 0;
    res(1, 0) = 0;
    res(2, 0) = 0;
    res(3, 0) = 0;
    res(4, 0) = 0;
    res(5, 0) = 0;
    res(6, 0) = 0;
    res(7, 0) = 0;
    res(8, 0) = 0;
    res(9, 0) = 0;
    res(10, 0) = 0;
    res(11, 0) = 0;
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,12,1> interpolate(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p) noexcept
    {
    amrex::SmallMatrix<amrex::Real,12,1> res;
    res(0, 0) = Q(0, 0);
    res(1, 0) = Q(1, 0);
    res(2, 0) = Q(2, 0);
    res(3, 0) = Q(3, 0);
    res(4, 0) = Q(4, 0);
    res(5, 0) = Q(5, 0);
    res(6, 0) = Q(6, 0);
    res(7, 0) = Q(7, 0);
    res(8, 0) = Q(8, 0);
    res(9, 0) = Q(9, 0);
    res(10, 0) = Q(10, 0);
    res(11, 0) = Q(11, 0);
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,12,1> initial_condition(
        amrex::SmallMatrix<amrex::Real,3,1> const& X,
        amrex::SmallMatrix<amrex::Real,9,1> const& p) noexcept
    {
    amrex::SmallMatrix<amrex::Real,12,1> res;
    res(0, 0) = 0;
    res(1, 0) = 0;
    res(2, 0) = 0;
    res(3, 0) = 0;
    res(4, 0) = 0;
    res(5, 0) = 0;
    res(6, 0) = 0;
    res(7, 0) = 0;
    res(8, 0) = 0;
    res(9, 0) = 0;
    res(10, 0) = 0;
    res(11, 0) = 0;
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,2,1> initial_aux_condition(
        amrex::SmallMatrix<amrex::Real,3,1> const& X,
        amrex::SmallMatrix<amrex::Real,9,1> const& p) noexcept
    {
    amrex::SmallMatrix<amrex::Real,2,1> res;
    res(0, 0) = 0;
    res(1, 0) = 0;
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,12,1> update_variables(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p) noexcept
    {
    amrex::Real t0 = ((false) ? (0) : (Q(1, 0)));
    amrex::Real t1 = t0/(100.0*p(7, 0) + t0);
    amrex::SmallMatrix<amrex::Real,12,1> res;
    res(0, 0) = Q(0, 0);
    res(1, 0) = t0;
    res(2, 0) = Q(2, 0)*t1;
    res(3, 0) = Q(3, 0)*t1;
    res(4, 0) = Q(4, 0)*t1;
    res(5, 0) = Q(5, 0)*t1;
    res(6, 0) = Q(6, 0)*t1;
    res(7, 0) = Q(7, 0)*t1;
    res(8, 0) = Q(8, 0)*t1;
    res(9, 0) = Q(9, 0)*t1;
    res(10, 0) = Q(10, 0)*t1;
    res(11, 0) = Q(11, 0)*t1;
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,2,1> update_aux_variables(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p) noexcept
    {
    amrex::SmallMatrix<amrex::Real,2,1> res;
    res(0, 0) = Q(1, 0)/(p(7, 0) + amrex::Math::powi<2>(Q(1, 0)));
    res(1, 0) = Qaux(1, 0);
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,144,1> update_variables_jacobian_wrt_variables(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p) noexcept
    {
    amrex::Real t0 = ((false) ? (0) : (1));
    amrex::Real t1 = ((false) ? (0) : (Q(1, 0)));
    amrex::Real t2 = 100.0*p(7, 0) + t1;
    amrex::Real t3 = (1.0 / amrex::Math::powi<1>(t2));
    amrex::Real t4 = t0*t3;
    amrex::Real t5 = t0*t1/amrex::Math::powi<2>(t2);
    amrex::Real t6 = t1*t3;
    amrex::SmallMatrix<amrex::Real,144,1> res;
    res(0, 0) = 1;
    res(1, 0) = 0;
    res(2, 0) = 0;
    res(3, 0) = 0;
    res(4, 0) = 0;
    res(5, 0) = 0;
    res(6, 0) = 0;
    res(7, 0) = 0;
    res(8, 0) = 0;
    res(9, 0) = 0;
    res(10, 0) = 0;
    res(11, 0) = 0;
    res(12, 0) = 0;
    res(13, 0) = t0;
    res(14, 0) = Q(2, 0)*t4 - Q(2, 0)*t5;
    res(15, 0) = Q(3, 0)*t4 - Q(3, 0)*t5;
    res(16, 0) = Q(4, 0)*t4 - Q(4, 0)*t5;
    res(17, 0) = Q(5, 0)*t4 - Q(5, 0)*t5;
    res(18, 0) = Q(6, 0)*t4 - Q(6, 0)*t5;
    res(19, 0) = Q(7, 0)*t4 - Q(7, 0)*t5;
    res(20, 0) = Q(8, 0)*t4 - Q(8, 0)*t5;
    res(21, 0) = Q(9, 0)*t4 - Q(9, 0)*t5;
    res(22, 0) = Q(10, 0)*t4 - Q(10, 0)*t5;
    res(23, 0) = Q(11, 0)*t4 - Q(11, 0)*t5;
    res(24, 0) = 0;
    res(25, 0) = 0;
    res(26, 0) = t6;
    res(27, 0) = 0;
    res(28, 0) = 0;
    res(29, 0) = 0;
    res(30, 0) = 0;
    res(31, 0) = 0;
    res(32, 0) = 0;
    res(33, 0) = 0;
    res(34, 0) = 0;
    res(35, 0) = 0;
    res(36, 0) = 0;
    res(37, 0) = 0;
    res(38, 0) = 0;
    res(39, 0) = t6;
    res(40, 0) = 0;
    res(41, 0) = 0;
    res(42, 0) = 0;
    res(43, 0) = 0;
    res(44, 0) = 0;
    res(45, 0) = 0;
    res(46, 0) = 0;
    res(47, 0) = 0;
    res(48, 0) = 0;
    res(49, 0) = 0;
    res(50, 0) = 0;
    res(51, 0) = 0;
    res(52, 0) = t6;
    res(53, 0) = 0;
    res(54, 0) = 0;
    res(55, 0) = 0;
    res(56, 0) = 0;
    res(57, 0) = 0;
    res(58, 0) = 0;
    res(59, 0) = 0;
    res(60, 0) = 0;
    res(61, 0) = 0;
    res(62, 0) = 0;
    res(63, 0) = 0;
    res(64, 0) = 0;
    res(65, 0) = t6;
    res(66, 0) = 0;
    res(67, 0) = 0;
    res(68, 0) = 0;
    res(69, 0) = 0;
    res(70, 0) = 0;
    res(71, 0) = 0;
    res(72, 0) = 0;
    res(73, 0) = 0;
    res(74, 0) = 0;
    res(75, 0) = 0;
    res(76, 0) = 0;
    res(77, 0) = 0;
    res(78, 0) = t6;
    res(79, 0) = 0;
    res(80, 0) = 0;
    res(81, 0) = 0;
    res(82, 0) = 0;
    res(83, 0) = 0;
    res(84, 0) = 0;
    res(85, 0) = 0;
    res(86, 0) = 0;
    res(87, 0) = 0;
    res(88, 0) = 0;
    res(89, 0) = 0;
    res(90, 0) = 0;
    res(91, 0) = t6;
    res(92, 0) = 0;
    res(93, 0) = 0;
    res(94, 0) = 0;
    res(95, 0) = 0;
    res(96, 0) = 0;
    res(97, 0) = 0;
    res(98, 0) = 0;
    res(99, 0) = 0;
    res(100, 0) = 0;
    res(101, 0) = 0;
    res(102, 0) = 0;
    res(103, 0) = 0;
    res(104, 0) = t6;
    res(105, 0) = 0;
    res(106, 0) = 0;
    res(107, 0) = 0;
    res(108, 0) = 0;
    res(109, 0) = 0;
    res(110, 0) = 0;
    res(111, 0) = 0;
    res(112, 0) = 0;
    res(113, 0) = 0;
    res(114, 0) = 0;
    res(115, 0) = 0;
    res(116, 0) = 0;
    res(117, 0) = t6;
    res(118, 0) = 0;
    res(119, 0) = 0;
    res(120, 0) = 0;
    res(121, 0) = 0;
    res(122, 0) = 0;
    res(123, 0) = 0;
    res(124, 0) = 0;
    res(125, 0) = 0;
    res(126, 0) = 0;
    res(127, 0) = 0;
    res(128, 0) = 0;
    res(129, 0) = 0;
    res(130, 0) = t6;
    res(131, 0) = 0;
    res(132, 0) = 0;
    res(133, 0) = 0;
    res(134, 0) = 0;
    res(135, 0) = 0;
    res(136, 0) = 0;
    res(137, 0) = 0;
    res(138, 0) = 0;
    res(139, 0) = 0;
    res(140, 0) = 0;
    res(141, 0) = 0;
    res(142, 0) = 0;
    res(143, 0) = t6;
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,24,1> update_aux_variables_jacobian_wrt_variables(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p) noexcept
    {
    amrex::Real t0 = amrex::Math::powi<2>(Q(1, 0));
    amrex::Real t1 = p(7, 0) + t0;
    amrex::SmallMatrix<amrex::Real,24,1> res;
    res(0, 0) = 0;
    res(1, 0) = 0;
    res(2, 0) = -2*t0/amrex::Math::powi<2>(t1) + (1.0 / amrex::Math::powi<1>(t1));
    res(3, 0) = 0;
    res(4, 0) = 0;
    res(5, 0) = 0;
    res(6, 0) = 0;
    res(7, 0) = 0;
    res(8, 0) = 0;
    res(9, 0) = 0;
    res(10, 0) = 0;
    res(11, 0) = 0;
    res(12, 0) = 0;
    res(13, 0) = 0;
    res(14, 0) = 0;
    res(15, 0) = 0;
    res(16, 0) = 0;
    res(17, 0) = 0;
    res(18, 0) = 0;
    res(19, 0) = 0;
    res(20, 0) = 0;
    res(21, 0) = 0;
    res(22, 0) = 0;
    res(23, 0) = 0;
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,12,1> boundary_conditions(
        const int bc_idx,
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,2,1> const& n,
        amrex::SmallMatrix<amrex::Real,3,1> const& X,
        amrex::Real const time,
        amrex::Real const dX) noexcept
    {
    if (bc_idx == 0 || bc_idx == 1 || bc_idx == 2) {
        amrex::SmallMatrix<amrex::Real,12,1> res;
        res(0, 0) = Q(0, 0);
        res(1, 0) = Q(1, 0);
        res(2, 0) = Q(2, 0);
        res(3, 0) = Q(3, 0);
        res(4, 0) = Q(4, 0);
        res(5, 0) = Q(5, 0);
        res(6, 0) = Q(6, 0);
        res(7, 0) = Q(7, 0);
        res(8, 0) = Q(8, 0);
        res(9, 0) = Q(9, 0);
        res(10, 0) = Q(10, 0);
        res(11, 0) = Q(11, 0);
        return res;
    } else if (bc_idx == 3) {
        amrex::Real t0 = std::sin(1.5700000000000001*time);
        amrex::Real t1 = 0.5*t0 + 5.0;
        amrex::SmallMatrix<amrex::Real,12,1> res;
        res(0, 0) = Q(0, 0);
        res(1, 0) = t1;
        res(2, 0) = 0.70035705179572516*t0*t1;
        res(3, 0) = Q(3, 0);
        res(4, 0) = Q(4, 0);
        res(5, 0) = Q(5, 0);
        res(6, 0) = Q(6, 0);
        res(7, 0) = Q(7, 0);
        res(8, 0) = Q(8, 0);
        res(9, 0) = Q(9, 0);
        res(10, 0) = Q(10, 0);
        res(11, 0) = Q(11, 0);
        return res;
    }
    amrex::SmallMatrix<amrex::Real,12,1> default_res{};
    return default_res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,2,1> aux_boundary_conditions(
        const int bc_idx,
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,2,1> const& n,
        amrex::SmallMatrix<amrex::Real,3,1> const& X,
        amrex::Real const time,
        amrex::Real const dX) noexcept
    {
    if (bc_idx == 0 || bc_idx == 1 || bc_idx == 2 || bc_idx == 3) {
        amrex::SmallMatrix<amrex::Real,2,1> res;
        res(0, 0) = Qaux(0, 0);
        res(1, 0) = Qaux(1, 0);
        return res;
    }
    amrex::SmallMatrix<amrex::Real,2,1> default_res{};
    return default_res;
    }

};

Numerics.H

main_dir = get_main_directory()
path = os.path.join(main_dir, os.path.join(settings.output.directory, '.amrex_interface/Numerics.H'))
with open(path, "r") as f:
    print(f.read())
#pragma once
#include <AMReX_Array4.H>
#include <AMReX_Vector.H>
#include <AMReX_SmallMatrix.H>
#include "Model.H"

#include <vector>
#include <algorithm>

#ifdef __CUDACC__
#define PORTABLE_FN __host__ __device__
#else
#define PORTABLE_FN
#endif


struct Numerics {
    using T = amrex::Real;
    static constexpr int n_dof_q = 12;

    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,12,1> numerical_flux(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q_minus,
        amrex::SmallMatrix<amrex::Real,12,1> const& Q_plus,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux_minus,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux_plus,
        amrex::SmallMatrix<amrex::Real,9,1> const& p,
        amrex::SmallMatrix<amrex::Real,2,1> const& n) noexcept
    {
    amrex::Real t0 = amrex::max(Q_minus(0, 0), Q_plus(0, 0));
    amrex::Real t1 = -t0;
    amrex::Real t2 = amrex::max(0.0, Q_minus(0, 0) + Q_minus(1, 0) + t1);
    amrex::Real t3 = t2/amrex::max(Q_minus(1, 0), p(7, 0));
    amrex::Real t4 = amrex::max(0.0, Q_plus(0, 0) + Q_plus(1, 0) + t1);
    amrex::Real t5 = t4/amrex::max(Q_plus(1, 0), p(7, 0));
    amrex::SmallMatrix<amrex::Real,12,1> v_arg_0{};
v_arg_0(0, 0) = t0;
v_arg_0(1, 0) = t2;
v_arg_0(2, 0) = Q_minus(2, 0)*t3;
v_arg_0(3, 0) = Q_minus(3, 0)*t3;
v_arg_0(4, 0) = Q_minus(4, 0)*t3;
v_arg_0(5, 0) = Q_minus(5, 0)*t3;
v_arg_0(6, 0) = Q_minus(6, 0)*t3;
v_arg_0(7, 0) = Q_minus(7, 0)*t3;
v_arg_0(8, 0) = Q_minus(8, 0)*t3;
v_arg_0(9, 0) = Q_minus(9, 0)*t3;
v_arg_0(10, 0) = Q_minus(10, 0)*t3;
v_arg_0(11, 0) = Q_minus(11, 0)*t3;
    amrex::SmallMatrix<amrex::Real,2,1> v_arg_1{};
v_arg_1(0, 0) = (1.0 / amrex::Math::powi<1>(p(7, 0) + t2));
v_arg_1(1, 0) = Qaux_minus(1, 0);
    amrex::SmallMatrix<amrex::Real,9,1> v_arg_2{};
v_arg_2(0, 0) = p(0, 0);
v_arg_2(1, 0) = p(1, 0);
v_arg_2(2, 0) = p(2, 0);
v_arg_2(3, 0) = p(3, 0);
v_arg_2(4, 0) = p(4, 0);
v_arg_2(5, 0) = p(5, 0);
v_arg_2(6, 0) = p(6, 0);
v_arg_2(7, 0) = p(7, 0);
v_arg_2(8, 0) = p(8, 0);
    amrex::SmallMatrix<amrex::Real,12,1> v_arg_3{};
v_arg_3(0, 0) = t0;
v_arg_3(1, 0) = t4;
v_arg_3(2, 0) = Q_plus(2, 0)*t5;
v_arg_3(3, 0) = Q_plus(3, 0)*t5;
v_arg_3(4, 0) = Q_plus(4, 0)*t5;
v_arg_3(5, 0) = Q_plus(5, 0)*t5;
v_arg_3(6, 0) = Q_plus(6, 0)*t5;
v_arg_3(7, 0) = Q_plus(7, 0)*t5;
v_arg_3(8, 0) = Q_plus(8, 0)*t5;
v_arg_3(9, 0) = Q_plus(9, 0)*t5;
v_arg_3(10, 0) = Q_plus(10, 0)*t5;
v_arg_3(11, 0) = Q_plus(11, 0)*t5;
    amrex::SmallMatrix<amrex::Real,2,1> v_arg_4{};
v_arg_4(0, 0) = (1.0 / amrex::Math::powi<1>(p(7, 0) + t4));
v_arg_4(1, 0) = Qaux_plus(1, 0);
    amrex::SmallMatrix<amrex::Real,2,1> v_arg_5{};
v_arg_5(0, 0) = n(0, 0);
v_arg_5(1, 0) = n(1, 0);
    auto v_call_0 = Model::flux(v_arg_0, v_arg_1, v_arg_2);
    auto v_call_1 = Model::hydrostatic_pressure(v_arg_0, v_arg_1, v_arg_2);
    auto v_call_2 = Model::flux(v_arg_3, v_arg_4, v_arg_2);
    auto v_call_3 = Model::hydrostatic_pressure(v_arg_3, v_arg_4, v_arg_2);
    auto v_call_4 = Model::eigenvalues(v_arg_0, v_arg_1, v_arg_2, v_arg_5);
    auto v_call_5 = Model::eigenvalues(v_arg_3, v_arg_4, v_arg_2, v_arg_5);
    amrex::Real t6 = 0.5*n(0, 0);
    amrex::Real t7 = 0.5*n(1, 0);
    amrex::Real t8 = -amrex::max(Q_minus(0, 0), Q_plus(0, 0));
    amrex::Real t9 = amrex::max(0.0, Q_minus(0, 0) + Q_minus(1, 0) + t8);
    amrex::Real t10 = amrex::max(0.0, Q_plus(0, 0) + Q_plus(1, 0) + t8);
    amrex::Real t11 = 0.5*amrex::max(std::abs(v_call_4(0, 0)), amrex::max(std::abs(v_call_4(10, 0)), amrex::max(std::abs(v_call_4(11, 0)), amrex::max(std::abs(v_call_4(1, 0)), amrex::max(std::abs(v_call_4(2, 0)), amrex::max(std::abs(v_call_4(3, 0)), amrex::max(std::abs(v_call_4(4, 0)), amrex::max(std::abs(v_call_4(5, 0)), amrex::max(std::abs(v_call_4(6, 0)), amrex::max(std::abs(v_call_4(7, 0)), amrex::max(std::abs(v_call_4(8, 0)), amrex::max(std::abs(v_call_4(9, 0)), amrex::max(std::abs(v_call_5(0, 0)), amrex::max(std::abs(v_call_5(10, 0)), amrex::max(std::abs(v_call_5(11, 0)), amrex::max(std::abs(v_call_5(1, 0)), amrex::max(std::abs(v_call_5(2, 0)), amrex::max(std::abs(v_call_5(3, 0)), amrex::max(std::abs(v_call_5(4, 0)), amrex::max(std::abs(v_call_5(5, 0)), amrex::max(std::abs(v_call_5(6, 0)), amrex::max(std::abs(v_call_5(7, 0)), amrex::max(std::abs(v_call_5(8, 0)), std::abs(v_call_5(9, 0)))))))))))))))))))))))));
    amrex::Real t12 = t9/amrex::max(Q_minus(1, 0), p(7, 0));
    amrex::Real t13 = (1.0 / amrex::Math::powi<1>(amrex::max(Q_plus(1, 0), p(7, 0))));
    amrex::SmallMatrix<amrex::Real,12,1> res;
    res(0, 0) = t6*(v_call_0(0, 0) + v_call_1(0, 0)) + t6*(v_call_2(0, 0) + v_call_3(0, 0)) + t7*(v_call_0(1, 0) + v_call_1(1, 0)) + t7*(v_call_2(1, 0) + v_call_3(1, 0));
    res(1, 0) = -t11*(t10 - t9) + t6*(v_call_0(2, 0) + v_call_1(2, 0)) + t6*(v_call_2(2, 0) + v_call_3(2, 0)) + t7*(v_call_0(3, 0) + v_call_1(3, 0)) + t7*(v_call_2(3, 0) + v_call_3(3, 0));
    res(2, 0) = -t11*(-Q_minus(2, 0)*t12 + Q_plus(2, 0)*t10*t13) + t6*(v_call_0(4, 0) + v_call_1(4, 0)) + t6*(v_call_2(4, 0) + v_call_3(4, 0)) + t7*(v_call_0(5, 0) + v_call_1(5, 0)) + t7*(v_call_2(5, 0) + v_call_3(5, 0));
    res(3, 0) = t6*(v_call_0(6, 0) + v_call_1(6, 0)) + t6*(v_call_2(6, 0) + v_call_3(6, 0)) + t7*(v_call_0(7, 0) + v_call_1(7, 0)) + t7*(v_call_2(7, 0) + v_call_3(7, 0));
    res(4, 0) = t6*(v_call_0(8, 0) + v_call_1(8, 0)) + t6*(v_call_2(8, 0) + v_call_3(8, 0)) + t7*(v_call_0(9, 0) + v_call_1(9, 0)) + t7*(v_call_2(9, 0) + v_call_3(9, 0));
    res(5, 0) = t6*(v_call_0(10, 0) + v_call_1(10, 0)) + t6*(v_call_2(10, 0) + v_call_3(10, 0)) + t7*(v_call_0(11, 0) + v_call_1(11, 0)) + t7*(v_call_2(11, 0) + v_call_3(11, 0));
    res(6, 0) = t6*(v_call_0(12, 0) + v_call_1(12, 0)) + t6*(v_call_2(12, 0) + v_call_3(12, 0)) + t7*(v_call_0(13, 0) + v_call_1(13, 0)) + t7*(v_call_2(13, 0) + v_call_3(13, 0));
    res(7, 0) = -t11*(-Q_minus(7, 0)*t12 + Q_plus(7, 0)*t10*t13) + t6*(v_call_0(14, 0) + v_call_1(14, 0)) + t6*(v_call_2(14, 0) + v_call_3(14, 0)) + t7*(v_call_0(15, 0) + v_call_1(15, 0)) + t7*(v_call_2(15, 0) + v_call_3(15, 0));
    res(8, 0) = t6*(v_call_0(16, 0) + v_call_1(16, 0)) + t6*(v_call_2(16, 0) + v_call_3(16, 0)) + t7*(v_call_0(17, 0) + v_call_1(17, 0)) + t7*(v_call_2(17, 0) + v_call_3(17, 0));
    res(9, 0) = t6*(v_call_0(18, 0) + v_call_1(18, 0)) + t6*(v_call_2(18, 0) + v_call_3(18, 0)) + t7*(v_call_0(19, 0) + v_call_1(19, 0)) + t7*(v_call_2(19, 0) + v_call_3(19, 0));
    res(10, 0) = t6*(v_call_0(20, 0) + v_call_1(20, 0)) + t6*(v_call_2(20, 0) + v_call_3(20, 0)) + t7*(v_call_0(21, 0) + v_call_1(21, 0)) + t7*(v_call_2(21, 0) + v_call_3(21, 0));
    res(11, 0) = t6*(v_call_0(22, 0) + v_call_1(22, 0)) + t6*(v_call_2(22, 0) + v_call_3(22, 0)) + t7*(v_call_0(23, 0) + v_call_1(23, 0)) + t7*(v_call_2(23, 0) + v_call_3(23, 0));
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,24,1> numerical_fluctuations(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q_minus,
        amrex::SmallMatrix<amrex::Real,12,1> const& Q_plus,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux_minus,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux_plus,
        amrex::SmallMatrix<amrex::Real,9,1> const& p,
        amrex::SmallMatrix<amrex::Real,2,1> const& n) noexcept
    {
    amrex::Real t0 = amrex::max(Q_minus(0, 0), Q_plus(0, 0));
    amrex::Real t1 = -t0;
    amrex::Real t2 = amrex::max(0.0, Q_plus(0, 0) + Q_plus(1, 0) + t1);
    amrex::Real t3 = t2/amrex::max(Q_plus(1, 0), p(7, 0));
    amrex::Real t4 = amrex::max(0.0, Q_minus(0, 0) + Q_minus(1, 0) + t1);
    amrex::Real t5 = t4/amrex::max(Q_minus(1, 0), p(7, 0));
    amrex::SmallMatrix<amrex::Real,9,1> v_arg_0{};
v_arg_0(0, 0) = p(0, 0);
v_arg_0(1, 0) = p(1, 0);
v_arg_0(2, 0) = p(2, 0);
v_arg_0(3, 0) = p(3, 0);
v_arg_0(4, 0) = p(4, 0);
v_arg_0(5, 0) = p(5, 0);
v_arg_0(6, 0) = p(6, 0);
v_arg_0(7, 0) = p(7, 0);
v_arg_0(8, 0) = p(8, 0);
    amrex::SmallMatrix<amrex::Real,12,1> v_arg_1{};
v_arg_1(0, 0) = t0;
v_arg_1(1, 0) = t2;
v_arg_1(2, 0) = Q_plus(2, 0)*t3;
v_arg_1(3, 0) = Q_plus(3, 0)*t3;
v_arg_1(4, 0) = Q_plus(4, 0)*t3;
v_arg_1(5, 0) = Q_plus(5, 0)*t3;
v_arg_1(6, 0) = Q_plus(6, 0)*t3;
v_arg_1(7, 0) = Q_plus(7, 0)*t3;
v_arg_1(8, 0) = Q_plus(8, 0)*t3;
v_arg_1(9, 0) = Q_plus(9, 0)*t3;
v_arg_1(10, 0) = Q_plus(10, 0)*t3;
v_arg_1(11, 0) = Q_plus(11, 0)*t3;
    amrex::SmallMatrix<amrex::Real,2,1> v_arg_2{};
v_arg_2(0, 0) = (1.0 / amrex::Math::powi<1>(p(7, 0) + t2));
v_arg_2(1, 0) = Qaux_plus(1, 0);
    amrex::SmallMatrix<amrex::Real,12,1> v_arg_3{};
v_arg_3(0, 0) = t0;
v_arg_3(1, 0) = t4;
v_arg_3(2, 0) = Q_minus(2, 0)*t5;
v_arg_3(3, 0) = Q_minus(3, 0)*t5;
v_arg_3(4, 0) = Q_minus(4, 0)*t5;
v_arg_3(5, 0) = Q_minus(5, 0)*t5;
v_arg_3(6, 0) = Q_minus(6, 0)*t5;
v_arg_3(7, 0) = Q_minus(7, 0)*t5;
v_arg_3(8, 0) = Q_minus(8, 0)*t5;
v_arg_3(9, 0) = Q_minus(9, 0)*t5;
v_arg_3(10, 0) = Q_minus(10, 0)*t5;
v_arg_3(11, 0) = Q_minus(11, 0)*t5;
    amrex::SmallMatrix<amrex::Real,2,1> v_arg_4{};
v_arg_4(0, 0) = (1.0 / amrex::Math::powi<1>(p(7, 0) + t4));
v_arg_4(1, 0) = Qaux_minus(1, 0);
    auto v_call_0 = Model::hydrostatic_pressure(Q_plus, Qaux_plus, v_arg_0);
    auto v_call_1 = Model::hydrostatic_pressure(v_arg_1, v_arg_2, v_arg_0);
    auto v_call_2 = Model::hydrostatic_pressure(v_arg_3, v_arg_4, v_arg_0);
    auto v_call_3 = Model::hydrostatic_pressure(Q_minus, Qaux_minus, v_arg_0);
    amrex::SmallMatrix<amrex::Real,24,1> res;
    res(0, 0) = n(0, 0)*(-v_call_0(0, 0) + v_call_1(0, 0)) + n(1, 0)*(-v_call_0(1, 0) + v_call_1(1, 0));
    res(1, 0) = n(0, 0)*(-v_call_0(2, 0) + v_call_1(2, 0)) + n(1, 0)*(-v_call_0(3, 0) + v_call_1(3, 0));
    res(2, 0) = n(0, 0)*(-v_call_0(4, 0) + v_call_1(4, 0)) + n(1, 0)*(-v_call_0(5, 0) + v_call_1(5, 0));
    res(3, 0) = n(0, 0)*(-v_call_0(6, 0) + v_call_1(6, 0)) + n(1, 0)*(-v_call_0(7, 0) + v_call_1(7, 0));
    res(4, 0) = n(0, 0)*(-v_call_0(8, 0) + v_call_1(8, 0)) + n(1, 0)*(-v_call_0(9, 0) + v_call_1(9, 0));
    res(5, 0) = n(0, 0)*(-v_call_0(10, 0) + v_call_1(10, 0)) + n(1, 0)*(-v_call_0(11, 0) + v_call_1(11, 0));
    res(6, 0) = n(0, 0)*(-v_call_0(12, 0) + v_call_1(12, 0)) + n(1, 0)*(-v_call_0(13, 0) + v_call_1(13, 0));
    res(7, 0) = n(0, 0)*(-v_call_0(14, 0) + v_call_1(14, 0)) + n(1, 0)*(-v_call_0(15, 0) + v_call_1(15, 0));
    res(8, 0) = n(0, 0)*(-v_call_0(16, 0) + v_call_1(16, 0)) + n(1, 0)*(-v_call_0(17, 0) + v_call_1(17, 0));
    res(9, 0) = n(0, 0)*(-v_call_0(18, 0) + v_call_1(18, 0)) + n(1, 0)*(-v_call_0(19, 0) + v_call_1(19, 0));
    res(10, 0) = n(0, 0)*(-v_call_0(20, 0) + v_call_1(20, 0)) + n(1, 0)*(-v_call_0(21, 0) + v_call_1(21, 0));
    res(11, 0) = n(0, 0)*(-v_call_0(22, 0) + v_call_1(22, 0)) + n(1, 0)*(-v_call_0(23, 0) + v_call_1(23, 0));
    res(12, 0) = n(0, 0)*(-v_call_2(0, 0) + v_call_3(0, 0)) + n(1, 0)*(-v_call_2(1, 0) + v_call_3(1, 0));
    res(13, 0) = n(0, 0)*(-v_call_2(2, 0) + v_call_3(2, 0)) + n(1, 0)*(-v_call_2(3, 0) + v_call_3(3, 0));
    res(14, 0) = n(0, 0)*(-v_call_2(4, 0) + v_call_3(4, 0)) + n(1, 0)*(-v_call_2(5, 0) + v_call_3(5, 0));
    res(15, 0) = n(0, 0)*(-v_call_2(6, 0) + v_call_3(6, 0)) + n(1, 0)*(-v_call_2(7, 0) + v_call_3(7, 0));
    res(16, 0) = n(0, 0)*(-v_call_2(8, 0) + v_call_3(8, 0)) + n(1, 0)*(-v_call_2(9, 0) + v_call_3(9, 0));
    res(17, 0) = n(0, 0)*(-v_call_2(10, 0) + v_call_3(10, 0)) + n(1, 0)*(-v_call_2(11, 0) + v_call_3(11, 0));
    res(18, 0) = n(0, 0)*(-v_call_2(12, 0) + v_call_3(12, 0)) + n(1, 0)*(-v_call_2(13, 0) + v_call_3(13, 0));
    res(19, 0) = n(0, 0)*(-v_call_2(14, 0) + v_call_3(14, 0)) + n(1, 0)*(-v_call_2(15, 0) + v_call_3(15, 0));
    res(20, 0) = n(0, 0)*(-v_call_2(16, 0) + v_call_3(16, 0)) + n(1, 0)*(-v_call_2(17, 0) + v_call_3(17, 0));
    res(21, 0) = n(0, 0)*(-v_call_2(18, 0) + v_call_3(18, 0)) + n(1, 0)*(-v_call_2(19, 0) + v_call_3(19, 0));
    res(22, 0) = n(0, 0)*(-v_call_2(20, 0) + v_call_3(20, 0)) + n(1, 0)*(-v_call_2(21, 0) + v_call_3(21, 0));
    res(23, 0) = n(0, 0)*(-v_call_2(22, 0) + v_call_3(22, 0)) + n(1, 0)*(-v_call_2(23, 0) + v_call_3(23, 0));
    return res;
    }


    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
    static amrex::SmallMatrix<amrex::Real,1,1> local_max_abs_eigenvalue(
        amrex::SmallMatrix<amrex::Real,12,1> const& Q,
        amrex::SmallMatrix<amrex::Real,2,1> const& Qaux,
        amrex::SmallMatrix<amrex::Real,9,1> const& p,
        amrex::SmallMatrix<amrex::Real,2,1> const& n) noexcept
    {
    amrex::SmallMatrix<amrex::Real,12,1> v_arg_0{};
v_arg_0(0, 0) = Q(0, 0);
v_arg_0(1, 0) = Q(1, 0);
v_arg_0(2, 0) = Q(2, 0);
v_arg_0(3, 0) = Q(3, 0);
v_arg_0(4, 0) = Q(4, 0);
v_arg_0(5, 0) = Q(5, 0);
v_arg_0(6, 0) = Q(6, 0);
v_arg_0(7, 0) = Q(7, 0);
v_arg_0(8, 0) = Q(8, 0);
v_arg_0(9, 0) = Q(9, 0);
v_arg_0(10, 0) = Q(10, 0);
v_arg_0(11, 0) = Q(11, 0);
    amrex::SmallMatrix<amrex::Real,2,1> v_arg_1{};
v_arg_1(0, 0) = Qaux(0, 0);
v_arg_1(1, 0) = Qaux(1, 0);
    amrex::SmallMatrix<amrex::Real,9,1> v_arg_2{};
v_arg_2(0, 0) = p(0, 0);
v_arg_2(1, 0) = p(1, 0);
v_arg_2(2, 0) = p(2, 0);
v_arg_2(3, 0) = p(3, 0);
v_arg_2(4, 0) = p(4, 0);
v_arg_2(5, 0) = p(5, 0);
v_arg_2(6, 0) = p(6, 0);
v_arg_2(7, 0) = p(7, 0);
v_arg_2(8, 0) = p(8, 0);
    amrex::SmallMatrix<amrex::Real,2,1> v_arg_3{};
v_arg_3(0, 0) = n(0, 0);
v_arg_3(1, 0) = n(1, 0);
    auto v_call_0 = Model::eigenvalues(v_arg_0, v_arg_1, v_arg_2, v_arg_3);
    amrex::SmallMatrix<amrex::Real,1,1> res;
    res(0, 0) = amrex::max(std::abs(v_call_0(0, 0)), amrex::max(std::abs(v_call_0(10, 0)), amrex::max(std::abs(v_call_0(11, 0)), amrex::max(std::abs(v_call_0(1, 0)), amrex::max(std::abs(v_call_0(2, 0)), amrex::max(std::abs(v_call_0(3, 0)), amrex::max(std::abs(v_call_0(4, 0)), amrex::max(std::abs(v_call_0(5, 0)), amrex::max(std::abs(v_call_0(6, 0)), amrex::max(std::abs(v_call_0(7, 0)), amrex::max(std::abs(v_call_0(8, 0)), std::abs(v_call_0(9, 0)))))))))))));
    return res;
    }

};

Compile

import subprocess

base = os.path.join(main_dir, "library/zoomy_amrex/")
cmds = [
    f"cp ../../{settings.output.directory}/.amrex_interface/Model.H ./Source/Model.H",
    f"cp ../../{settings.output.directory}/.amrex_interface/Numerics.H ./Source/Numerics.H",
    "source setup.sh",
    "cd Exec",
    #"make clean",
    "make",
]

subprocess.run(" && ".join(cmds), shell=True, executable="/bin/zsh", cwd=base)
[WARN] OpenMPI's default binding is set to OFF, you can override this
[INFO] Module foss/2024a loaded.
[INFO] Module Python/3.12.3 loaded.
fatal: not a git repository (or any parent up to mount point /rwthfs/rz/cluster/home)
Stopping at filesystem boundary (GIT_DISCOVERY_ACROSS_FILESYSTEM not set).
Loading /home/is086873/MBD/Git/amrex/Tools/GNUMake/comps/gnu.mak...
Loading /home/is086873/MBD/Git/amrex/Tools/GNUMake/sites/Make.unknown...
Compiling write_plotfiles.cpp ...
mpicxx -MMD -MP -Werror=return-type -gdwarf-4 -O3 -finline-limit=43210 -std=c++17  -pthread    -DBL_USE_MPI -DAMREX_USE_MPI -DAMREX_GPU_MAX_THREADS=0 -DBL_SPACEDIM=3 -DAMREX_SPACEDIM=3 -DBL_FORT_USE_UNDERSCORE -DAMREX_FORT_USE_UNDERSCORE -DBL_Linux -DAMREX_Linux -DNDEBUG -DOMPI_SKIP_MPICXX -Itmp_build_dir/s/3d.gnu.MPI.EXE -I. -I../Source -I/rwthfs/rz/cluster/home/is086873/Git/Zoomy/outputs/amrex_4/.amrex_interface -I/home/is086873/MBD/Git/amrex/Src/Base -I/home/is086873/MBD/Git/amrex/Src/Base/Parser  -I/cvmfs/software.hpc.rwth.de/Linux/RH9/x86_64/intel/sapphirerapids/software/OpenMPI/5.0.3-GCC-13.3.0/include -c ../Source/write_plotfiles.cpp -o tmp_build_dir/o/3d.gnu.MPI.EXE/write_plotfiles.o
Compiling main.cpp ...
mpicxx -MMD -MP -Werror=return-type -gdwarf-4 -O3 -finline-limit=43210 -std=c++17  -pthread    -DBL_USE_MPI -DAMREX_USE_MPI -DAMREX_GPU_MAX_THREADS=0 -DBL_SPACEDIM=3 -DAMREX_SPACEDIM=3 -DBL_FORT_USE_UNDERSCORE -DAMREX_FORT_USE_UNDERSCORE -DBL_Linux -DAMREX_Linux -DNDEBUG -DOMPI_SKIP_MPICXX -Itmp_build_dir/s/3d.gnu.MPI.EXE -I. -I../Source -I/rwthfs/rz/cluster/home/is086873/Git/Zoomy/outputs/amrex_4/.amrex_interface -I/home/is086873/MBD/Git/amrex/Src/Base -I/home/is086873/MBD/Git/amrex/Src/Base/Parser  -I/cvmfs/software.hpc.rwth.de/Linux/RH9/x86_64/intel/sapphirerapids/software/OpenMPI/5.0.3-GCC-13.3.0/include -c ../Source/main.cpp -o tmp_build_dir/o/3d.gnu.MPI.EXE/main.o
Linking main3d.gnu.MPI.ex ...
mpicxx -Werror=return-type -gdwarf-4 -O3 -finline-limit=43210 -std=c++17  -pthread   -DBL_USE_MPI -DAMREX_USE_MPI -DAMREX_GPU_MAX_THREADS=0 -DBL_SPACEDIM=3 -DAMREX_SPACEDIM=3 -DBL_FORT_USE_UNDERSCORE -DAMREX_FORT_USE_UNDERSCORE -DBL_Linux -DAMREX_Linux -DNDEBUG -DOMPI_SKIP_MPICXX -Itmp_build_dir/s/3d.gnu.MPI.EXE -I. -I../Source -I/rwthfs/rz/cluster/home/is086873/Git/Zoomy/outputs/amrex_4/.amrex_interface -I/home/is086873/MBD/Git/amrex/Src/Base -I/home/is086873/MBD/Git/amrex/Src/Base/Parser  -L. -L/cvmfs/software.hpc.rwth.de/Linux/RH9/x86_64/intel/sapphirerapids/software/GCCcore/13.3.0/lib/gcc/x86_64-pc-linux-gnu/13.3.0/../../../../lib64/ -o main3d.gnu.MPI.ex tmp_build_dir/o/3d.gnu.MPI.EXE/init_solution.o tmp_build_dir/o/3d.gnu.MPI.EXE/write_plotfiles.o tmp_build_dir/o/3d.gnu.MPI.EXE/plotfile_utils.o tmp_build_dir/o/3d.gnu.MPI.EXE/main.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_error_fi.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_Version.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_PODVector.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_BlockMutex.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_String.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_ParmParse.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_parmparse_fi.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_Utility.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_FileSystem.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_Random.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_DistributionMapping.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_ParallelDescriptor.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_OpenMP.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_ForkJoin.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_ParallelContext.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_VisMF.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_Arena.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_BArena.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_CArena.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_PArena.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_AsyncOut.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_BackgroundThread.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_NFiles.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_parstream.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_GpuControl.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_GpuDevice.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_GpuUtility.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_GpuAsyncArray.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_GpuElixir.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_FabConv.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_FPC.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_IntConv.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_VectorIO.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_Box.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_BoxIterator.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_IntVect.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_IndexType.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_Orientation.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_Periodicity.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_RealBox.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_RealVect.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_BoxList.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_BoxArray.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_BoxDomain.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_FArrayBox.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_IArrayBox.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_BaseFab.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_MultiFab.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_MFCopyDescriptor.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_iMultiFab.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_FabArrayBase.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_MFIter.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_CoordSys.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_Geometry.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_MultiFabUtil.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_BCRec.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_PhysBCFunct.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_BCUtil.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_FilCC_C.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_FilND_C.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_FilFC_C.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_NonLocalBC.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_PlotFileUtil.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_PlotFileDataImpl.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_BLProfiler.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_BLBackTrace.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_MemPool.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_Machine.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_MPMD.o tmp_build_dir/o/3d.gnu.MPI.EXE/amrex_parser.lex.o tmp_build_dir/o/3d.gnu.MPI.EXE/amrex_parser.tab.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_Parser_Y.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_Parser_Exe.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_Parser.o tmp_build_dir/o/3d.gnu.MPI.EXE/amrex_iparser.lex.o tmp_build_dir/o/3d.gnu.MPI.EXE/amrex_iparser.tab.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_IParser_Y.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_IParser_Exe.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_IParser.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_constants_mod.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_BLutil_F.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_BLProfiler_F.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_filcc_mod.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_omp_mod.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_acc_mod.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_fort_mod.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_error_mod.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_parmparse_mod.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_string_mod.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_bc_types_mod.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_io_mod.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_ParallelDescriptor_F.o tmp_build_dir/o/3d.gnu.MPI.EXE/AMReX_mempool_mod.o  -I/cvmfs/software.hpc.rwth.de/Linux/RH9/x86_64/intel/sapphirerapids/software/OpenMPI/5.0.3-GCC-13.3.0/include -I/cvmfs/software.hpc.rwth.de/Linux/RH9/x86_64/intel/sapphirerapids/software/OpenMPI/5.0.3-GCC-13.3.0/lib -L/cvmfs/software.hpc.rwth.de/Linux/RH9/x86_64/intel/sapphirerapids/software/OpenMPI/5.0.3-GCC-13.3.0/lib -Wl,-rpath -Wl,/cvmfs/software.hpc.rwth.de/Linux/RH9/x86_64/intel/sapphirerapids/software/OpenMPI/5.0.3-GCC-13.3.0/lib -Wl,--enable-new-dtags -lmpi_usempif08 -lmpi_usempi_ignore_tkr -lmpi_mpifh -lmpi -lmpi -lgfortran -lquadmath
CompletedProcess(args='cp ../../outputs/amrex_4/.amrex_interface/Model.H ./Source/Model.H && cp ../../outputs/amrex_4/.amrex_interface/Numerics.H ./Source/Numerics.H && source setup.sh && cd Exec && make', returncode=0)

Prepare raster data for AMReX

… and copy stuff to the output directory …



output_dir.mkdir(parents=True, exist_ok=True)  # make sure output folder exists

for item in source_dir.iterdir():
    dest = output_dir / item.name
    if item.is_dir():
        shutil.copytree(item, dest, dirs_exist_ok=True)
    else:
        shutil.copy2(item, dest)
        
shutil.copy(dem_path, output_dir)
shutil.copy(ic_water_path, output_dir)

print("The simulation output will be written to: ", output_dir)

from zoomy_amrex.preprocess_rasterdata import preprocess
preprocess(os.path.join(output_dir, 'inputs'), [('dem', dem_path), ('release', ic_water_path), ('friction', ic_friction_path)])
The simulation output will be written to:  /rwthfs/rz/cluster/home/is086873/Git/Zoomy/outputs/amrex_4
✓ raw files created: topography_artificial.raw, release_artificial.raw, friction_artificial.raw
✓ inputs updated → /rwthfs/rz/cluster/home/is086873/Git/Zoomy/outputs/amrex_4/inputs

Do the Simulation

run in the notebook or as a batch job

run_in_notebook = True
if (run_in_notebook):
    base = os.path.join(main_dir, 'library/zoomy_amrex/')
    cmds = [
        "source setup.sh",
        f"cd ../../{settings.output.directory}",
        "./clean.sh",
        "mpiexec -np 4 ./main3d.gnu.MPI.ex inputs",
    ]

    subprocess.run("\n".join(cmds), shell=True, executable="/bin/zsh", cwd=base)
else:
    base = os.path.join(main_dir, 'library/zoomy_amrex/')
    cmds = [
        "source setup.sh",
        f"cd ../../{settings.output.directory}",
        "./clean.sh",
        "sbatch batch.sh < inputs",
    ]

    subprocess.run("\n".join(cmds), shell=True, executable="/bin/zsh", cwd=base)

        
[WARN] OpenMPI's default binding is set to OFF, you can override this
[INFO] Module foss/2024a loaded.
[INFO] Module Python/3.12.3 loaded.
./clean.sh:3: no matches found: plt*
./clean.sh:4: no matches found: output*.txt
./clean.sh:5: no matches found: Backtrace*
Initializing AMReX (25.03)...
MPI initialized with 4 MPI processes
MPI initialized with thread support level 0
AMReX (25.03) initialized
✓ loaded '/rwthfs/rz/cluster/home/is086873/Git/Zoomy/data/release_artificial.raw' into component 1 (400×400)
✓ loaded '/rwthfs/rz/cluster/home/is086873/Git/Zoomy/data/topography_artificial.raw' into component 0 (400×400)
✓ loaded '/rwthfs/rz/cluster/home/is086873/Git/Zoomy/data/friction_artificial.raw' into component 1 (400×400)
Step 0 dt: 0.006425294053 time: 0s in 0.014210693s
Step 1 dt: 0.006425294053 time: 0.006425294053s in 0.014248884s
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Step 8994 dt: 0.005347470781 time: 49.76332019s in 0.012628705s
Step 8995 dt: 0.005348323726 time: 49.76866766s in 0.012802656s
Step 8996 dt: 0.005349174782 time: 49.77401598s in 0.014156398s
Step 8997 dt: 0.005350023916 time: 49.77936516s in 0.013934706s
Step 8998 dt: 0.005350871092 time: 49.78471518s in 0.013051576s
Step 8999 dt: 0.005351716275 time: 49.79006605s in 0.012965289s
Step 9000 dt: 0.005352559431 time: 49.79541777s in 0.01292552s
Step 9001 dt: 0.005353400526 time: 49.80077033s in 0.012736186s
Step 9002 dt: 0.005354239524 time: 49.80612373s in 0.013692165s
Step 9003 dt: 0.005355076394 time: 49.81147797s in 0.013736708s
Step 9004 dt: 0.0053559111 time: 49.81683304s in 0.012686408s
Step 9005 dt: 0.005356743611 time: 49.82218896s in 0.012636142s
Step 9006 dt: 0.005357573892 time: 49.8275457s in 0.013241598s
Step 9007 dt: 0.005358401913 time: 49.83290327s in 0.012672141s
Step 9008 dt: 0.00535922764 time: 49.83826167s in 0.012837147s
Step 9009 dt: 0.005360051045 time: 49.8436209s in 0.012925901s
Step 9010 dt: 0.005360872095 time: 49.84898095s in 0.012700439s
Step 9011 dt: 0.005361690761 time: 49.85434183s in 0.012979399s
Step 9012 dt: 0.005362507014 time: 49.85970352s in 0.012667354s
Step 9013 dt: 0.005363320825 time: 49.86506602s in 0.01281104s
Step 9014 dt: 0.005364132167 time: 49.87042934s in 0.012659024s
Step 9015 dt: 0.005364941012 time: 49.87579348s in 0.012858093s
Step 9016 dt: 0.005365747335 time: 49.88115842s in 0.013989958s
Step 9017 dt: 0.00536655111 time: 49.88652416s in 0.013906935s
Step 9018 dt: 0.005367352312 time: 49.89189072s in 0.014127692s
Step 9019 dt: 0.005368150917 time: 49.89725807s in 0.013714323s
Step 9020 dt: 0.005368946902 time: 49.90262622s in 0.013587688s
Step 9021 dt: 0.005369740243 time: 49.90799517s in 0.012996438s
Step 9022 dt: 0.00537053092 time: 49.91336491s in 0.013858473s
Step 9023 dt: 0.005371318911 time: 49.91873544s in 0.013322831s
Step 9024 dt: 0.005372104194 time: 49.92410676s in 0.012880298s
Step 9025 dt: 0.005372886751 time: 49.92947886s in 0.012665141s
Step 9026 dt: 0.005373666561 time: 49.93485175s in 0.012926641s
Step 9027 dt: 0.005374443606 time: 49.94022541s in 0.012939138s
Step 9028 dt: 0.005375217865 time: 49.94559986s in 0.01328509s
Step 9029 dt: 0.005375989322 time: 49.95097507s in 0.014806423s
Step 9030 dt: 0.005376757958 time: 49.95635106s in 0.014062967s
Step 9031 dt: 0.005377523755 time: 49.96172782s in 0.012664602s
Step 9032 dt: 0.005378286694 time: 49.96710535s in 0.012614268s
Step 9033 dt: 0.005379046759 time: 49.97248363s in 0.012611313s
Step 9034 dt: 0.005379803931 time: 49.97786268s in 0.012625536s
Step 9035 dt: 0.005380558192 time: 49.98324248s in 0.012922652s
Step 9036 dt: 0.005381309524 time: 49.98862304s in 0.014244571s
Step 9037 dt: 0.005382057908 time: 49.99400435s in 0.013855739s
Step 9038 dt: 0.0006135910116 time: 49.99938641s in 0.01333585s
Total evolution time = 144.8002216 seconds
AMReX (25.03) finalized