Shallow Moment Tutorial (Simple)

Shallow Moment Tutorial (Simple)#

Imports#

# | code-fold: true
# | code-summary: "Load packages"
# | output: false

import os
import numpy as np
import jax
from jax import numpy as jnp
import pytest
from types import SimpleNamespace
from sympy import cos, pi, Piecewise

from zoomy_jax.fvm.solver_jax import HyperbolicSolver, Settings
from zoomy_jax.fvm.ode import RK1
# import fvm.reconstruction as recon
import zoomy_core.fvm.timestepping as timestepping
import zoomy_jax.fvm.flux as flux
import zoomy_jax.fvm.nonconservative_flux as nc_flux
from zoomy_core.model.boundary_conditions import BoundaryCondition
from zoomy_core.model.models.basisfunctions import Basisfunction, Legendre_shifted
from zoomy_core.model.models.basismatrices import Basismatrices
from zoomy_core.misc.misc import Zstruct

from zoomy_core.model.models.shallow_moments import ShallowMoments2d
import zoomy_core.model.initial_conditions as IC
import zoomy_core.model.boundary_conditions as BC
import zoomy_core.misc.io as io
from zoomy_core.mesh.lsq_reconstruction import compute_derivatives
from zoomy_tests.swashes import plots_paper
# import zoomy_core.postprocessing.visualization as visu


import zoomy_jax.mesh.mesh as petscMesh
import zoomy_core.postprocessing.postprocessing as postprocessing
# from mesh.mesh import convert_mesh_to_jax
import argparse

Model#

level = 0
offset = 1+level
n_fields = 3 + 2 * level
settings = Settings(
    name="SME",
    output=Zstruct(
        directory=f"outputs/junction_{level}", filename="SME", output_snapshots=30
    ),
)

2026-01-07 12:08:57.579 | WARNING  | zoomy_core.misc.misc:__init__:194 - No 'clean_directory' attribute found in output Zstruct. Default: False
2026-01-07 12:08:57.580 | WARNING  | zoomy_core.misc.misc:__init__:197 - No 'snapshots' attribute found in output Zstruct. Default: 2

inflow_dict = { 
    0: lambda t, x, dx, q, qaux, p, n: Piecewise((0.1, t < 0.2),(q[0], True)),
    1: lambda t, x, dx, q, qaux, p, n: Piecewise((-0.3, t < 0.2),(-q[1], True)),
                }
inflow_dict.update({
    1+i: lambda t, x, dx, q, qaux, p, n: 0 for i in range(level)
})
inflow_dict.update({
    1+offset+i: lambda t, x, dx, q, qaux, p, n: 0 for i in range(level+1)
})

bcs = BC.BoundaryConditions(
    [
        BC.Lambda(tag="inflow", prescribe_fields=inflow_dict),
        BC.Wall(tag="wall"),
    ]
)

def custom_ic(x):
    Q = np.zeros(3 + 2 * level, dtype=float)
    Q[0] = 0.01
    return Q

ic = IC.UserFunction(custom_ic)

model = ShallowMoments2d(
    level=level,
    boundary_conditions=bcs,
    initial_conditions=ic,
)

main_dir = os.getenv("ZOOMY_DIR")
mesh = petscMesh.Mesh.from_gmsh(
    os.path.join(main_dir, "meshes/channel_junction/mesh_2d_coarse.msh")
    # os.path.join(main_dir, "meshes/channel_junction/mesh_2d_fine.msh")
)

mesh = convert_mesh_to_jax(mesh)
class SMESolver(HyperbolicSolver):
    def update_qaux(self, Q, Qaux, Qold, Qauxold, mesh, model, parameters, time, dt):
        dudx = compute_derivatives(Q[1]/Q[0], mesh, derivatives_multi_index=[[0, 0]])[:,0]
        dvdy = compute_derivatives(Q[1+offset]/Q[0], mesh, derivatives_multi_index=[[0, 1]])[:,0]
        Qaux = Qaux.at[0].set(dudx)
        Qaux = Qaux.at[1].set(dvdy)
        return Qaux
solver = SMESolver(settings=settings)

---------------------------------------------------------------------------
AttributeError                            Traceback (most recent call last)
Cell In[12], line 26
     22     return Q
     24 ic = IC.UserFunction(custom_ic)
---> 26 model = ShallowMoments2d(
     27     level=level,
     28     boundary_conditions=bcs,
     29     initial_conditions=ic,
     30 )
     32 main_dir = os.getenv("ZOOMY_DIR")
     33 mesh = petscMesh.Mesh.from_gmsh(
     34     os.path.join(main_dir, "meshes/channel_junction/mesh_2d_coarse.msh")
     35     # os.path.join(main_dir, "meshes/channel_junction/mesh_2d_fine.msh")
     36 )

File <attrs generated methods zoomy_core.model.models.shallow_moments.ShallowMoments2d>:147, in __init__(self, boundary_conditions, name, disable_differentiation, initial_conditions, aux_initial_conditions, parameters, number_of_points_3d, simplify, positive_variables, dimension, level, aux_variables, basisfunctions)
    145 _setattr('basisfunctions', basisfunctions)
    146 _setattr('_default_parameters', __attr_factory__default_parameters())
--> 147 self.__attrs_post_init__()

File ~/Git/Zoomy/library/zoomy_core/zoomy_core/model/models/shallow_moments.py:45, in ShallowMoments2d.__attrs_post_init__(self)
     43 def __attrs_post_init__(self):
     44     object.__setattr__(self, "variables", ((self.level+1)*self.dimension)+1)
---> 45     super().__attrs_post_init__()
     46     aux_variables = self.aux_variables
     47     aux_var_list = aux_variables.keys()

File ~/Git/Zoomy/library/zoomy_core/zoomy_core/model/basemodel.py:142, in Model.__attrs_post_init__(self)
    128 object.__setattr__(
    129     self, "p_3d", register_sympy_attribute(self.number_of_points_3d, "p")
    130 )
    131 object.__setattr__(
    132     self,
    133     "alpha_3d",
    134     register_sympy_attribute(self.number_of_points_3d, "alpha"),
    135 )
    137 object.__setattr__(
    138     self,
    139     "_flux",
    140     Function(
    141         name="flux",
--> 142         definition=self.flux(),
    143         args=Zstruct(
    144             variables=self.variables,
    145             aux_variables=self.aux_variables,
    146             parameters=self.parameters,
    147         ),
    148     ),
    149 )
    150 object.__setattr__(
    151     self,
    152     "_dflux",
   (...)    161     ),
    162 )
    164 object.__setattr__(
    165     self,
    166     "_nonconservative_matrix",
   (...)    175     ),
    176 )

File ~/Git/Zoomy/library/zoomy_core/zoomy_core/model/models/shallow_moments.py:121, in ShallowMoments2d.flux(self)
    114     for i in range(self.level + 1):
    115         for j in range(self.level + 1):
    116             # TODO avoid devision by zero
    117             flux_x[k + 1] += (
    118                 ha[i]
    119                 * ha[j]
    120                 / h
--> 121                 * self.basismatrices.A[k, i, j] / self.basismatrices.M[k, k]
    122             )
    123 if self.dimension == 2:
    124     hb = self.variables[1 + self.level + 1 : 1 + 2 * (self.level + 1)]

AttributeError: 'ShallowMoments2d' object has no attribute 'basismatrices'

Solve#

Qnew, Qaux = solver.solve(mesh, model)

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Visualization#

io.generate_vtk(os.path.join(settings.output.directory, f"{settings.output.filename}.h5"))
# postprocessing.vtk_project_2d_to_3d(model, settings, Nz=20, filename='out_3d')

# visu.pyvista_3d(settings.output.directory, scale=1.0)
Contents