Variables
string	initial_conditions

string	boundary_conditions

string	refinement_criterion

string	analytical_solution

	parser = exahype2.ArgumentParser("ExaHyPE 2 Euler Taylor-Green Vortex Argument Parser")

	min_depth

	degrees_of_freedom

	periodic_boundary_conditions_x

	periodic_boundary_conditions_y

	periodic_boundary_conditions_z

	args = parser.parse_args()

list	size = [23.14159265359, 23.14159265359, 2*3.14159265359]

float	max_h = 1.1 * min(size) / (3.0**args.min_depth)

float	min_h = max_h * 3.0 ** (-args.amr_levels)

	riemann_solver

	max_eigenvalue

	flux

	limiter

	error_measurement_implementation

	output_file_name

	project

float	time_in_between_plots = 0.0

	dimensions

	offset

	min_end_time

	max_end_time

	first_plot_time_stamp

	periodic_BC

	mode

	make

	True

	make_clean_first

	throw_away_data_after_build

Variable Documentation

◆ analytical_solution

string taylor-green-vortex.analytical_solution

Initial value:

 =  """
   constexpr double Viscosity = 1.0;
   const double C = 100.0 / GAMMA;
  
   // Time decay factors for velocity and pressure
   const double expVelocityFactor = std::exp(-2.0 * Viscosity * t); // Time decay factor for velocity
   const double expPressureFactor = std::exp(-4.0 * Viscosity * t); // Time decay factor for pressure
  
   // Set the initial conditions for the Taylor-Green vortex
   solution[Shortcuts::rho] = 1.0; // Constant density
  
   // Velocity components with time decay
   solution[Shortcuts::rhoU + 0] = expVelocityFactor * std::sin(x(0)) * std::cos(x(1));
   solution[Shortcuts::rhoU + 1] = -expVelocityFactor * std::cos(x(0)) * std::sin(x(1));
 #if DIMENSIONS == 3
   solution[Shortcuts::rhoU + 2] = 0.0;
 #endif
  
   // Pressure with time decay and the given formula
   double pressure = expPressureFactor * (std::cos(2.0 * x(0)) + std::cos(2.0 * x(1)))*(1.0 / 4.0) + C;
  
   // Total energy: internal energy + kinetic energy
   solution[Shortcuts::rhoE] = pressure / (GAMMA - 1.0) + 0.5 * (Q[Shortcuts::rhoU + 0] * Q[Shortcuts::rhoU + 0] + Q[Shortcuts::rhoU + 1] * Q[Shortcuts::rhoU + 1]);
 """

Definition at line 36 of file taylor-green-vortex.py.

◆ args

taylor-green-vortex.args = parser.parse_args()

Definition at line 69 of file taylor-green-vortex.py.

◆ boundary_conditions

taylor-green-vortex.boundary_conditions

Initial value:

1 = """

2 """

Definition at line 28 of file taylor-green-vortex.py.

◆ degrees_of_freedom

taylor-green-vortex.degrees_of_freedom

Definition at line 64 of file taylor-green-vortex.py.

◆ dimensions

taylor-green-vortex.dimensions

Definition at line 119 of file taylor-green-vortex.py.

◆ error_measurement_implementation

taylor-green-vortex.error_measurement_implementation

Definition at line 100 of file taylor-green-vortex.py.

◆ first_plot_time_stamp

taylor-green-vortex.first_plot_time_stamp

Definition at line 124 of file taylor-green-vortex.py.

◆ flux

taylor-green-vortex.flux

Definition at line 92 of file taylor-green-vortex.py.

◆ initial_conditions

taylor-green-vortex.initial_conditions

Initial value:

 =  """
   constexpr double U0 = 1.0; // Initial amplitude of velocity
   constexpr double Pressure0 = 100 / GAMMA; // Reference pressure
  
   Q[Shortcuts::rho]      = 1.0;
   Q[Shortcuts::rhoU + 0] = U0 * std::sin(x(0)) * std::cos(x(1));
   Q[Shortcuts::rhoU + 1] = -U0 * std::cos(x(0)) * std::sin(x(1));
 #if DIMENSIONS == 3
   Q[Shortcuts::rhoU + 2] = 0.0;
 #endif
  
   const double pressure = Pressure0 + (Q[Shortcuts::rho] * U0) * (1.0 / 4.0) * (std::cos(2.0 * x(0)) + std::cos(2.0 * x(1)));
   // Total energy: internal energy + kinetic energy
   Q[Shortcuts::rhoE] = pressure / (GAMMA - 1.0) + 0.5  * (Q[Shortcuts::rhoU + 0] * Q[Shortcuts::rhoU + 0] + Q[Shortcuts::rhoU + 1] * Q[Shortcuts::rhoU + 1]);
 """

Definition at line 12 of file taylor-green-vortex.py.

◆ limiter

taylor-green-vortex.limiter

Definition at line 93 of file taylor-green-vortex.py.

◆ make

taylor-green-vortex.make

Definition at line 143 of file taylor-green-vortex.py.

◆ make_clean_first

taylor-green-vortex.make_clean_first

Definition at line 143 of file taylor-green-vortex.py.

◆ max_eigenvalue

taylor-green-vortex.max_eigenvalue

Definition at line 91 of file taylor-green-vortex.py.

◆ max_end_time

taylor-green-vortex.max_end_time

Definition at line 123 of file taylor-green-vortex.py.

◆ max_h

float taylor-green-vortex.max_h = 1.1 * min(size) / (3.0**args.min_depth)

Definition at line 72 of file taylor-green-vortex.py.

◆ min_depth

taylor-green-vortex.min_depth

Definition at line 63 of file taylor-green-vortex.py.

◆ min_end_time

taylor-green-vortex.min_end_time

Definition at line 122 of file taylor-green-vortex.py.

◆ min_h

float taylor-green-vortex.min_h = max_h * 3.0 ** (-args.amr_levels)

Definition at line 73 of file taylor-green-vortex.py.

◆ mode

taylor-green-vortex.mode

Definition at line 137 of file taylor-green-vortex.py.

◆ offset

taylor-green-vortex.offset

Definition at line 121 of file taylor-green-vortex.py.

◆ output_file_name

taylor-green-vortex.output_file_name

Definition at line 101 of file taylor-green-vortex.py.

◆ parser

taylor-green-vortex.parser = exahype2.ArgumentParser("ExaHyPE 2 Euler Taylor-Green Vortex Argument Parser")

Definition at line 61 of file taylor-green-vortex.py.

◆ periodic_BC

taylor-green-vortex.periodic_BC

Definition at line 126 of file taylor-green-vortex.py.

◆ periodic_boundary_conditions_x

taylor-green-vortex.periodic_boundary_conditions_x

Definition at line 65 of file taylor-green-vortex.py.

◆ periodic_boundary_conditions_y

taylor-green-vortex.periodic_boundary_conditions_y

Definition at line 66 of file taylor-green-vortex.py.

◆ periodic_boundary_conditions_z

taylor-green-vortex.periodic_boundary_conditions_z

Definition at line 67 of file taylor-green-vortex.py.

◆ project

taylor-green-vortex.project

Initial value:

 =  exahype2.Project(
     namespace=["applications", "exahype2", "euler"],
     project_name="TaylorGreenVortex",
     directory=".",
     executable="Euler",
 )

Definition at line 104 of file taylor-green-vortex.py.

◆ refinement_criterion

taylor-green-vortex.refinement_criterion

Initial value:

 =  """
   auto result = ::exahype2::RefinementCommand::Keep;
   return result;
 """

Definition at line 31 of file taylor-green-vortex.py.

◆ riemann_solver

taylor-green-vortex.riemann_solver

Initial value:

 =  exahype2.solvers.fv.musclhancock.GlobalAdaptiveTimeStep(
     name="FVSolver",
     patch_size=args.degrees_of_freedom,
     unknowns={"rho": 1, "rhoU": args.dimensions, "rhoE": 1},
     auxiliary_variables=0,
     min_volume_h=min_h,
     max_volume_h=max_h,
     time_step_relaxation=args.time_step_relaxation,
     use_enclave_tasking=args.enclave_tasking,
     number_of_enclave_tasks=args.ntasks,
 )

Definition at line 75 of file taylor-green-vortex.py.

◆ size

taylor-green-vortex.size = [2*3.14159265359, 2*3.14159265359, 2*3.14159265359]

Definition at line 71 of file taylor-green-vortex.py.

◆ throw_away_data_after_build

taylor-green-vortex.throw_away_data_after_build

Definition at line 143 of file taylor-green-vortex.py.

◆ time_in_between_plots

taylor-green-vortex.time_in_between_plots = 0.0

Definition at line 113 of file taylor-green-vortex.py.

◆ True

taylor-green-vortex.True

Definition at line 143 of file taylor-green-vortex.py.

Variables

Variable Documentation

◆ analytical_solution

◆ args

◆ boundary_conditions

◆ degrees_of_freedom

◆ dimensions

◆ error_measurement_implementation

◆ first_plot_time_stamp

◆ flux

◆ initial_conditions

◆ limiter

◆ make

◆ make_clean_first

◆ max_eigenvalue

◆ max_end_time

◆ max_h

◆ min_depth

◆ min_end_time

◆ min_h

◆ mode

◆ offset

◆ output_file_name

◆ parser

◆ periodic_BC

◆ periodic_boundary_conditions_x

◆ periodic_boundary_conditions_y

◆ periodic_boundary_conditions_z

◆ project

◆ refinement_criterion

◆ riemann_solver

◆ size

◆ throw_away_data_after_build

◆ time_in_between_plots

◆ True