Variables
str	initial_conditions
str	boundary_conditions
str	refinement_criterion
str	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 = [2 * 3.14159265359, 2 * 3.14159265359, 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

str 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=0.5,
    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