Variables
str	initial_conditions
str	analytical_solution
	parser = exahype2.ArgumentParser("ExaHyPE 2 - Euler Gaussian Bell 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 = [1.0, 1.0, 1.0]
float	max_h = 1.1 * min(size) / (3.0**args.min_depth)
float	min_h = max_h * 3.0 ** (-args.amr_levels)
	riemann_solver
	flux
	max_eigenvalue
	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 gaussian-bell.analytical_solution

Initial value:

=  """
  // The initial condition is transported without deformation in a periodic
  // domain [-.5, +.5], i.e. the value at a given point is the value at the
  // position x - v*t but accounting for periodicity.
  // Therefore we find the point x - v*t, and then shift this by instances
  // of 1.0 until we find the point within the domain.
#if DIMENSIONS == 2
  tarch::la::Vector<DIMENSIONS, double> pos = { (x[0] - t) + (int)(t + .5 - x[0]),
                                                (x[1] - t) + (int)(t + .5 - x[1]) };
#else
  tarch::la::Vector<DIMENSIONS, double> pos = { (x[0] - t) + (int)(t + .5 - x[0]),
                                                (x[1] - t) + (int)(t + .5 - x[1]),
                                                (x[2] - t) + (int)(t + .5 - x[2]) };
#endif
 
  solution[Shortcuts::rho] = 0.02 * (1.0 + std::exp(-0.5 * tarch::la::norm2(pos) * tarch::la::norm2(pos) / 0.01));
  solution[Shortcuts::rhoU + 0] = 1.0 * solution[Shortcuts::rho];
  solution[Shortcuts::rhoU + 1] = 1.0 * solution[Shortcuts::rho];
#if DIMENSIONS == 3
  solution[Shortcuts::rhoU + 2] = 1.0 * solution[Shortcuts::rho];
#endif
 
  const tarch::la::Vector<DIMENSIONS, double> momenta(1.0 * solution[Shortcuts::rho]);
 
  // Should lead to a constant p over the domain given the initial conditions
  solution[Shortcuts::rhoE] = PRESSURE / (GAMMA - 1.0) + 0.5 * (momenta * momenta) / solution[Shortcuts::rho];
"""

Definition at line 27 of file gaussian-bell.py.

◆ args

gaussian-bell.args = parser.parse_args()

Definition at line 64 of file gaussian-bell.py.

◆ degrees_of_freedom

gaussian-bell.degrees_of_freedom

Definition at line 59 of file gaussian-bell.py.

◆ dimensions

gaussian-bell.dimensions

Definition at line 111 of file gaussian-bell.py.

◆ error_measurement_implementation

gaussian-bell.error_measurement_implementation

Definition at line 91 of file gaussian-bell.py.

◆ first_plot_time_stamp

gaussian-bell.first_plot_time_stamp

Definition at line 116 of file gaussian-bell.py.

◆ flux

gaussian-bell.flux

Definition at line 82 of file gaussian-bell.py.

◆ initial_conditions

gaussian-bell.initial_conditions

Initial value:

=  """
  Q[Shortcuts::rho] = 0.02 * (1.0 + std::exp(-0.5 * tarch::la::norm2(x) * tarch::la::norm2(x) / 0.01));
 
  Q[Shortcuts::rhoU + 0] = 1.0 * Q[Shortcuts::rho];
  Q[Shortcuts::rhoU + 1] = 1.0 * Q[Shortcuts::rho];
#if DIMENSIONS == 3
  Q[Shortcuts::rhoU + 2] = 1.0 * Q[Shortcuts::rho];
#endif
 
  const tarch::la::Vector<DIMENSIONS, double> momenta(1.0 * Q[Shortcuts::rho]);
 
  // Should lead to a constant pressure over the domain given the initial conditions
  Q[Shortcuts::rhoE] = PRESSURE / (GAMMA - 1.0) + 0.5 * (momenta * momenta) / Q[Shortcuts::rho];
"""

Definition at line 12 of file gaussian-bell.py.

◆ limiter

gaussian-bell.limiter

Definition at line 84 of file gaussian-bell.py.

◆ make

gaussian-bell.make

Definition at line 136 of file gaussian-bell.py.

◆ make_clean_first

gaussian-bell.make_clean_first

Definition at line 136 of file gaussian-bell.py.

◆ max_eigenvalue

gaussian-bell.max_eigenvalue

Definition at line 83 of file gaussian-bell.py.

◆ max_end_time

gaussian-bell.max_end_time

Definition at line 115 of file gaussian-bell.py.

◆ max_h

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

Definition at line 67 of file gaussian-bell.py.

◆ min_depth

gaussian-bell.min_depth

Definition at line 57 of file gaussian-bell.py.

◆ min_end_time

gaussian-bell.min_end_time

Definition at line 114 of file gaussian-bell.py.

◆ min_h

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

Definition at line 68 of file gaussian-bell.py.

◆ mode

gaussian-bell.mode

Definition at line 129 of file gaussian-bell.py.

◆ offset

gaussian-bell.offset

Definition at line 113 of file gaussian-bell.py.

◆ output_file_name

gaussian-bell.output_file_name

Definition at line 92 of file gaussian-bell.py.

◆ parser

gaussian-bell.parser = exahype2.ArgumentParser("ExaHyPE 2 - Euler Gaussian Bell Argument Parser")

Definition at line 55 of file gaussian-bell.py.

◆ periodic_BC

gaussian-bell.periodic_BC

Definition at line 118 of file gaussian-bell.py.

◆ periodic_boundary_conditions_x

gaussian-bell.periodic_boundary_conditions_x

Definition at line 60 of file gaussian-bell.py.

◆ periodic_boundary_conditions_y

gaussian-bell.periodic_boundary_conditions_y

Definition at line 61 of file gaussian-bell.py.

◆ periodic_boundary_conditions_z

gaussian-bell.periodic_boundary_conditions_z

Definition at line 62 of file gaussian-bell.py.

◆ project

gaussian-bell.project

Initial value:

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

Definition at line 95 of file gaussian-bell.py.

◆ riemann_solver

gaussian-bell.riemann_solver

Initial value:

=  exahype2.solvers.fv.musclhancock.GlobalAdaptiveTimeStep(
    name="MUSCLHancockSolver",
    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,
)

Definition at line 70 of file gaussian-bell.py.

◆ size

gaussian-bell.size = [1.0, 1.0, 1.0]

Definition at line 66 of file gaussian-bell.py.

◆ throw_away_data_after_build

gaussian-bell.throw_away_data_after_build

Definition at line 136 of file gaussian-bell.py.

◆ time_in_between_plots

gaussian-bell.time_in_between_plots = 0.0

Definition at line 105 of file gaussian-bell.py.

◆ True

gaussian-bell.True

Definition at line 136 of file gaussian-bell.py.

Variables

Variable Documentation

◆ analytical_solution

◆ args

◆ 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

◆ riemann_solver

◆ size

◆ throw_away_data_after_build

◆ time_in_between_plots

◆ True