zoomy_core.model.analysis

`zoomy_core.model.analysis`#

Module zoomy_core.model.analysis.

Module Contents#

Classes#

ModelAnalyser

Linear analysis of a system model: linearisation about a base state, plane-wave ansatz, dispersion relation.

API#

class zoomy_core.model.analysis.ModelAnalyser(model)#

Linear analysis of a system model: linearisation about a base state, plane-wave ansatz, dispersion relation.

Takes a SystemModel and nothing else — the analysis lives at the system level and does not know whether the system was derived or written down (SystemModel.from_model(model) is the way in).

Initialization

Initialize the instance.

get_equations()#: Get equations.

print_equations()#: Print equations.

get_time_space()#: Get time space.

get_eps()#: Get eps.

create_functions_from_list(names)#: Create functions from list.

delete_equations(indices)#: Delete equations.

insert_plane_wave_ansatz(functions_to_replace)#: Apply the ansatz to ALL variables passed in the list.

solve_for_dispersion_relation()#: Solve for dispersion relation.

remove_exponential()#: Remove exponential.

linearize_system(q, qaux, source=None, constraints=None)#

Linearize the system given the state vectors q and qaux.

Args

q: State vector (prognostic variables)
qaux: Auxiliary state vector
source: (Optional) The source term vector S. If None, S=0.
constraints: (Optional) The constraint vector C. If None, C=empty.

solve_for_constraints(list_of_selected_equations, list_of_variables)#

Manually solve specific equations for specific variables and substitute the results into the remaining system.