Peano
euler Namespace Reference

Variables

list domain_size = [120.0, 120.0]
 
list domain_offset = [-10.0, -60.0]
 
int min_level = 5
 
dictionary unknowns = {"p": 1, "v": 2, "E": 1}
 
dictionary auxiliary_variables = {}
 
float max_h = 1.1 * min(domain_size) / (3.0**min_level)
 
float min_h = max_h
 
 my_solver
 
 initial_conditions
 
 boundary_conditions
 
 flux
 
 exahype2_project
 
 dimensions = 2
 
 size = [1.0, 1.0, 1.0]
 
 offset = [0.0, 0.0, 0.0]
 
 min_end_time
 
 max_end_time
 
 first_plot_time_stamp
 
 time_in_between_plots
 
 periodic_BC
 
 peano4_project = exahype2_project.generate_Peano4_project()
 
 make
 
 True
 
 make_clean_first
 
 False
 
 throw_away_data_after_build
 
int patch_size = 16
 
int depth = 5
 
float end_time = 1.0
 
float time_in_between_two_snapshots = end_time / 10
 
string compile_mode = "Release"
 
 my_project
 
 my_pde
 
 gamma = sympy.symbols("gamma")
 
 rho = my_pde.name_Q_entry(0, "rho")
 
 j = my_pde.name_Q_entries(1, dimensions, "j")
 
 E = my_pde.name_Q_entry(dimensions + 1, "E")
 
tuple p = (gamma - 1) * (E - 1 / 2 * symhype.dot(j, j) / rho)
 
 c = sympy.sqrt(gamma * p / rho)
 
 u = j / rho
 
 volume_centre = sympy.sqrt((0.5 - my_pde.x[0]) ** 2 + (0.5 - my_pde.x[1]) ** 2)
 
 max_eigenvalue
 
 plot_description
 
 mode
 

Variable Documentation

◆ auxiliary_variables

dictionary euler.auxiliary_variables = {}

Definition at line 12 of file euler.py.

◆ boundary_conditions

euler.boundary_conditions

Definition at line 28 of file euler.py.

◆ c

euler.c = sympy.sqrt(gamma * p / rho)

Definition at line 112 of file euler.py.

◆ compile_mode

string euler.compile_mode = "Release"

Definition at line 51 of file euler.py.

◆ depth

int euler.depth = 5

Definition at line 29 of file euler.py.

◆ dimensions

int euler.dimensions = 2

Definition at line 43 of file euler.py.

◆ domain_offset

list euler.domain_offset = [-10.0, -60.0]

Definition at line 7 of file euler.py.

◆ domain_size

list euler.domain_size = [120.0, 120.0]

Definition at line 6 of file euler.py.

◆ E

euler.E = my_pde.name_Q_entry(dimensions + 1, "E")

Definition at line 97 of file euler.py.

◆ end_time

float euler.end_time = 1.0

Definition at line 34 of file euler.py.

◆ exahype2_project

euler.exahype2_project
Initial value:
1 = exahype2.Project(
2  namespace=["tutorials", "exahype2", "euler"],
3  directory=".",
4  project_name="Airfoil",
5  executable="Airfoil",
6 )

Definition at line 32 of file euler.py.

◆ False

euler.False

Definition at line 58 of file euler.py.

◆ first_plot_time_stamp

euler.first_plot_time_stamp

Definition at line 48 of file euler.py.

◆ flux

euler.flux

Definition at line 29 of file euler.py.

◆ gamma

euler.gamma = sympy.symbols("gamma")

Definition at line 90 of file euler.py.

◆ initial_conditions

euler.initial_conditions

Definition at line 27 of file euler.py.

◆ j

euler.j = my_pde.name_Q_entries(1, dimensions, "j")

Definition at line 95 of file euler.py.

Referenced by examples::exahype2::mgccz4.admconstraints(), applications::exahype2::ccz4.admconstraints(), TP_bindding.AuxiliaryCal(), TP::TwoPunctures.bicgstab(), TP::TwoPunctures.BY_Aijofxyz(), TP::TwoPunctures.BY_KKofxyz(), TP::TwoPunctures.calculate_derivs(), TP::Utilities.chder(), TP::Utilities.chebev(), TP::Utilities.chebft_Extremes(), TP::Utilities.chebft_Zeros(), ExaSeis::Derivatives< Shortcuts, T, num_nodes, numberOfData >.computeDerivatives_x_3D(), ExaSeis::Derivatives< Shortcuts, T, num_nodes, numberOfData >.computeDerivatives_y_3D(), ExaSeis::Derivatives< Shortcuts, T, num_nodes, numberOfData >.computeDerivatives_z_3D(), ContextCurvilinear< Shortcuts, basisSize, numberOfData, T >.ContextCurvilinear(), TP::Utilities.d3tensor(), TP::TwoPunctures.Derivatives_AB3(), examples::exahype2::mgccz4.enforceMGCCZ4constraints(), TP::TwoPunctures.F_of_v(), FindInterIndex(), ContextCurvilinear< Shortcuts, basisSize, numberOfData, T >.getElementSize(), TP::TwoPunctures.Index(), ContextCurvilinear< Shortcuts, basisSize, numberOfData, T >.initUnknownsPatch(), Interpolation(), TP::TwoPunctures.J_times_dv(), TP::TwoPunctures.JFD_times_dv(), TP::TwoPunctures.LineRelax_al(), TP::TwoPunctures.LineRelax_be(), TP::Utilities.maximum2(), TP::Utilities.maximum3(), ExaSeis::Derivatives< Shortcuts, T, num_nodes, numberOfData >.metricDerivatives(), TP::Utilities.minimum2(), TP::Utilities.minimum3(), examples::exahype2::mgccz4.ncp(), TP::TwoPunctures.Newton(), TP::TwoPunctures.norm_inf(), kernels::idx2.operator()(), kernels::idx3.operator()(), kernels::idx4.operator()(), kernels::idx5.operator()(), applications::exahype2::ccz4.Psi4Calc(), TP::TwoPunctures.PunctEvalAtArbitPosition(), TP::TwoPunctures.PunctEvalAtArbitPositionFast(), TP::TwoPunctures.PunctEvalAtArbitPositionFaster(), TP::TwoPunctures.PunctEvalAtArbitPositionFasterLowRes(), TP::TwoPunctures.PunctTaylorExpandAtArbitPosition(), applications::exahype2::ccz4::internal.recomputeAuxiliaryVariablesFD4_4thOrder_LoopBody(), applications::exahype2::ccz4::internal.recomputeAuxiliaryVariablesFD4_centralDifferences_LoopBody(), applications::exahype2::ccz4::internal.recomputeAuxiliaryVariablesFD4_leftDifferences_LoopBody(), applications::exahype2::ccz4::internal.recomputeAuxiliaryVariablesFD4_rightDifferences_LoopBody(), TP::TwoPunctures.relax(), kernels::idx2.rev(), Numerics.riemannSolver(), ContextDynamicRupture< Shortcuts, basisSize, numberOfVariables, numberOfParameters, T >.riemannSolver(), TP::TwoPunctures.Run(), TP::TwoPunctures.set_initial_guess(), TP::TwoPunctures.SetMatrix_JFD(), TP_bindding.SOCCZ4Cal(), examples::exahype2::mgccz4.source(), TP::TwoPunctures.SpecCoef(), applications::exahype2::ccz4.TestingOutput(), TP::TwoPunctures.TestRelax(), and applications::exahype2::ccz4.ThetaOutputNCP().

◆ make

euler.make

Definition at line 58 of file euler.py.

◆ make_clean_first

euler.make_clean_first

Definition at line 58 of file euler.py.

◆ max_eigenvalue

euler.max_eigenvalue

Definition at line 162 of file euler.py.

◆ max_end_time

euler.max_end_time

Definition at line 47 of file euler.py.

◆ max_h

float euler.max_h = 1.1 * min(domain_size) / (3.0**min_level)

Definition at line 13 of file euler.py.

◆ min_end_time

euler.min_end_time

Definition at line 46 of file euler.py.

◆ min_h

float euler.min_h = max_h

Definition at line 14 of file euler.py.

◆ min_level

int euler.min_level = 5

Definition at line 9 of file euler.py.

◆ mode

euler.mode

Definition at line 207 of file euler.py.

◆ my_pde

euler.my_pde
Initial value:
1 = symhype.FirstOrderConservativePDEFormulation(
2  unknowns=dimensions + 2, auxiliary_variables=0, dimensions=dimensions
3 )

Definition at line 82 of file euler.py.

◆ my_project

euler.my_project
Initial value:
1 = exahype2.Project(
2  namespace=["tutorials", "symhype", "euler"],
3  project_name="Euler",
4  directory=".",
5  executable="Euler",
6 )

Definition at line 57 of file euler.py.

◆ my_solver

euler.my_solver
Initial value:
1 = exahype2.solvers.fv.godunov.GlobalAdaptiveTimeStep(
2  name="EulerSolver",
3  patch_size=22,
4  min_volume_h=min_h,
5  max_volume_h=max_h,
6  time_step_relaxation=0.5,
7  unknowns=unknowns,
8  auxiliary_variables=auxiliary_variables,
9 )

Definition at line 16 of file euler.py.

◆ offset

list euler.offset = [0.0, 0.0, 0.0]

◆ p

tuple euler.p = (gamma - 1) * (E - 1 / 2 * symhype.dot(j, j) / rho)

Definition at line 99 of file euler.py.

◆ patch_size

int euler.patch_size = 16

Definition at line 24 of file euler.py.

◆ peano4_project

euler.peano4_project = exahype2_project.generate_Peano4_project()

Definition at line 55 of file euler.py.

◆ periodic_BC

euler.periodic_BC

Definition at line 50 of file euler.py.

◆ plot_description

euler.plot_description

Definition at line 169 of file euler.py.

◆ rho

euler.rho = my_pde.name_Q_entry(0, "rho")

Definition at line 92 of file euler.py.

◆ size

list euler.size = [1.0, 1.0, 1.0]

◆ throw_away_data_after_build

euler.throw_away_data_after_build

Definition at line 58 of file euler.py.

◆ time_in_between_plots

euler.time_in_between_plots

Definition at line 49 of file euler.py.

◆ time_in_between_two_snapshots

float euler.time_in_between_two_snapshots = end_time / 10

Definition at line 45 of file euler.py.

◆ True

euler.True

Definition at line 58 of file euler.py.

◆ u

◆ unknowns

◆ volume_centre

euler.volume_centre = sympy.sqrt((0.5 - my_pde.x[0]) ** 2 + (0.5 - my_pde.x[1]) ** 2)

Definition at line 140 of file euler.py.