Variables
	project

	parser = exahype2.ArgumentParser("ExaHyPE 2 - ADER-DG Limiting Testing Script")

	min_depth

	degrees_of_freedom

	args = parser.parse_args()

bool	use_aderdg = True

bool	use_fv = True

bool	use_limiting = use_aderdg and use_fv

int	with_limiting = 1

int	dimensions = 2

int	order = args.degrees_of_freedom - 1

float	end_time = 2.0

float	plot_interval = 0.00

float	CFL = 0.5

dictionary	unknowns = {"h": 1, "hu": 1, "hv": 1, "z": 1}

dictionary	auxiliary = {}

list	size = [1.58, 1.58, 1.58][0:dimensions]

list	offset = [0.0, 0.0, 0.0][0:dimensions]

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

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

float	g = 9.81

int	hThreshold = 1e-5

int	number_of_dmp_observables = 0

float	dmp_differences_scaling = 0.01

float	dmp_relaxation_parameter = 0.02

dictionary	landslide_zoo

string	landslide_case = "DownTheSlope"

dictionary	initial_conditions = landslide_zoo[landslide_case]

string	boundary_conditions

string	flux

string	ncp

string	source_term

string	eigenvalues

string	adjust_solution

string	riemann_solver_aderdg

string	riemann_solver_fv

string	isPhysicallyAdmissible = "return true;"

	aderdg_solver

	max_eigenvalue

	riemann_solver

	fv_solver

	limiter

	min_end_time

	max_end_time

	first_plot_time_stamp

	time_in_between_plots

	periodic_BC

	mode

Variable Documentation

◆ aderdg_solver

posteriori-limiting-landslide.aderdg_solver

Initial value:

 =  exahype2.solvers.aderdg.GlobalAdaptiveTimeStep(
         name="ADERDGSolver",
         order=order,
         unknowns=unknowns,
         auxiliary_variables=auxiliary,
         min_cell_h=min_h,
         max_cell_h=max_h,
         time_step_relaxation=CFL,
     )

Definition at line 365 of file posteriori-limiting-landslide.py.

◆ adjust_solution

posteriori-limiting-landslide.adjust_solution

Initial value:

 =  f"""
   constexpr double hThreshold = {hThreshold};
   if (Q[0] < hThreshold) {{
     Q[0] = 0.0;
     Q[1] = 0.0;
     Q[2] = 0.0;
   }}
 """

Definition at line 237 of file posteriori-limiting-landslide.py.

◆ args

posteriori-limiting-landslide.args = parser.parse_args()

Definition at line 15 of file posteriori-limiting-landslide.py.

◆ auxiliary

dictionary posteriori-limiting-landslide.auxiliary = {}

Definition at line 28 of file posteriori-limiting-landslide.py.

◆ boundary_conditions

posteriori-limiting-landslide.boundary_conditions

Initial value:

 =  f"""
   std::copy_n(Qinside, 4, Qoutside);
   Qoutside[1] = -Qoutside[1];
   Qoutside[2] = -Qoutside[2];
 """

Definition at line 177 of file posteriori-limiting-landslide.py.

◆ CFL

float posteriori-limiting-landslide.CFL = 0.5

Definition at line 26 of file posteriori-limiting-landslide.py.

◆ degrees_of_freedom

posteriori-limiting-landslide.degrees_of_freedom

Definition at line 13 of file posteriori-limiting-landslide.py.

◆ dimensions

posteriori-limiting-landslide.dimensions = 2

Definition at line 22 of file posteriori-limiting-landslide.py.

◆ dmp_differences_scaling

float posteriori-limiting-landslide.dmp_differences_scaling = 0.01

Definition at line 38 of file posteriori-limiting-landslide.py.

◆ dmp_relaxation_parameter

float posteriori-limiting-landslide.dmp_relaxation_parameter = 0.02

Definition at line 39 of file posteriori-limiting-landslide.py.

◆ eigenvalues

string posteriori-limiting-landslide.eigenvalues

Initial value:

 =  f"""
   constexpr double g = {g};
   constexpr double hThreshold = {hThreshold};
   if(Q[0] > hThreshold) {{
     const double un = Q[normal+1] / Q[0];
     const double c  = std::sqrt(g * Q[0]);
     return std::max(std::abs(un - c), std::abs(un + c));
   }}
   return 0.0;
 """

Definition at line 226 of file posteriori-limiting-landslide.py.

◆ end_time

float posteriori-limiting-landslide.end_time = 2.0

Definition at line 24 of file posteriori-limiting-landslide.py.

◆ first_plot_time_stamp

posteriori-limiting-landslide.first_plot_time_stamp

Definition at line 426 of file posteriori-limiting-landslide.py.

◆ flux

posteriori-limiting-landslide.flux

Initial value:

 =  f"""
   constexpr double g = {g};
   constexpr double hThreshold = {hThreshold};
   if (Q[0] > hThreshold) {{
     const double un = Q[1 + normal] / Q[0];
     F[0]            = Q[1 + normal];
     F[1]            = un * Q[1];
     F[2]            = un * Q[2];
     F[3]            = 0.0;
     F[1 + normal]  += 0.5 * g * Q[0] * Q[0];
   }}
   else {{
     F[0]            = 0.0;
     F[1]            = 0.0;
     F[2]            = 0.0;
     F[3]            = 0.0;
   }}
 """

Definition at line 183 of file posteriori-limiting-landslide.py.

◆ fv_solver

posteriori-limiting-landslide.fv_solver

Initial value:

 =  exahype2.solvers.fv.godunov.GlobalAdaptiveTimeStep(
         name="FVSolver",
         patch_size=2 * order + 1,
         unknowns=unknowns,
         auxiliary_variables=auxiliary,
         min_volume_h=min_h,
         max_volume_h=max_h,
         time_step_relaxation=CFL,
     )

Definition at line 386 of file posteriori-limiting-landslide.py.

◆ g

float posteriori-limiting-landslide.g = 9.81

Definition at line 35 of file posteriori-limiting-landslide.py.

◆ hThreshold

int posteriori-limiting-landslide.hThreshold = 1e-5

Definition at line 36 of file posteriori-limiting-landslide.py.

◆ initial_conditions

posteriori-limiting-landslide.initial_conditions = landslide_zoo[landslide_case]

Definition at line 175 of file posteriori-limiting-landslide.py.

◆ isPhysicallyAdmissible

string posteriori-limiting-landslide.isPhysicallyAdmissible = "return true;"

Definition at line 326 of file posteriori-limiting-landslide.py.

◆ landslide_case

string posteriori-limiting-landslide.landslide_case = "DownTheSlope"

Definition at line 174 of file posteriori-limiting-landslide.py.

◆ landslide_zoo

dictionary posteriori-limiting-landslide.landslide_zoo

Definition at line 41 of file posteriori-limiting-landslide.py.

◆ limiter

posteriori-limiting-landslide.limiter

Initial value:

 =  exahype2.solvers.limiting.PosterioriLimiting(
         name="LimitingSolver",
         regular_solver=aderdg_solver,
         limiting_solver=fv_solver,
         number_of_dmp_observables=number_of_dmp_observables,
         dmp_relaxation_parameter=dmp_relaxation_parameter,
         dmp_differences_scaling=dmp_differences_scaling,
         physical_admissibility_criterion=isPhysicallyAdmissible,
     )

Definition at line 408 of file posteriori-limiting-landslide.py.

◆ max_eigenvalue

posteriori-limiting-landslide.max_eigenvalue

Definition at line 376 of file posteriori-limiting-landslide.py.

◆ max_end_time

posteriori-limiting-landslide.max_end_time

Definition at line 425 of file posteriori-limiting-landslide.py.

◆ max_h

float posteriori-limiting-landslide.max_h = 1.1 * min(size) / (3.0**args.min_depth)

Definition at line 32 of file posteriori-limiting-landslide.py.

◆ min_depth

posteriori-limiting-landslide.min_depth

Definition at line 12 of file posteriori-limiting-landslide.py.

◆ min_end_time

posteriori-limiting-landslide.min_end_time

Definition at line 424 of file posteriori-limiting-landslide.py.

◆ min_h

float posteriori-limiting-landslide.min_h = max_h / (3.0**args.amr_levels)

Definition at line 33 of file posteriori-limiting-landslide.py.

◆ mode

posteriori-limiting-landslide.mode

Definition at line 432 of file posteriori-limiting-landslide.py.

◆ ncp

posteriori-limiting-landslide.ncp

Initial value:

 =  f"""
   constexpr double g = {g};
   constexpr double hThreshold = {hThreshold};
   if (Q[0] > hThreshold) {{
     BTimesDeltaQ[0]           = 0.0;
     BTimesDeltaQ[1]           = 0.0;
     BTimesDeltaQ[2]           = 0.0;
     BTimesDeltaQ[3]           = 0.0;
     BTimesDeltaQ[1 + normal]  = g * Q[0] * deltaQ[3];
   }} else {{
     BTimesDeltaQ[0]           = 0.0;
     BTimesDeltaQ[1]           = 0.0;
     BTimesDeltaQ[2]           = 0.0;
     BTimesDeltaQ[3]           = 0.0;
   }}
 """

Definition at line 202 of file posteriori-limiting-landslide.py.

◆ number_of_dmp_observables

int posteriori-limiting-landslide.number_of_dmp_observables = 0

Definition at line 37 of file posteriori-limiting-landslide.py.

◆ offset

posteriori-limiting-landslide.offset = [0.0, 0.0, 0.0][0:dimensions]

Definition at line 31 of file posteriori-limiting-landslide.py.

◆ order

int posteriori-limiting-landslide.order = args.degrees_of_freedom - 1

Definition at line 23 of file posteriori-limiting-landslide.py.

◆ parser

posteriori-limiting-landslide.parser = exahype2.ArgumentParser("ExaHyPE 2 - ADER-DG Limiting Testing Script")

Definition at line 10 of file posteriori-limiting-landslide.py.

◆ periodic_BC

posteriori-limiting-landslide.periodic_BC

Definition at line 428 of file posteriori-limiting-landslide.py.

◆ plot_interval

float posteriori-limiting-landslide.plot_interval = 0.00

Definition at line 25 of file posteriori-limiting-landslide.py.

◆ project

posteriori-limiting-landslide.project

Initial value:

 =  exahype2.Project(
     ["tests", "exahype2", "aderdg"], ".", executable="ADERDG-Limiting"
 )

Definition at line 6 of file posteriori-limiting-landslide.py.

◆ riemann_solver

posteriori-limiting-landslide.riemann_solver

Definition at line 381 of file posteriori-limiting-landslide.py.

◆ riemann_solver_aderdg

string posteriori-limiting-landslide.riemann_solver_aderdg

Definition at line 246 of file posteriori-limiting-landslide.py.

◆ riemann_solver_fv

string posteriori-limiting-landslide.riemann_solver_fv

Definition at line 287 of file posteriori-limiting-landslide.py.

◆ size

posteriori-limiting-landslide.size = [1.58, 1.58, 1.58][0:dimensions]

Definition at line 30 of file posteriori-limiting-landslide.py.

◆ source_term

posteriori-limiting-landslide.source_term

Initial value:

 =  f"""
   S[0] = 0.0;
   S[1] = 0.0;
   S[2] = 0.0;
   S[3] = 0.0;
 """

Definition at line 219 of file posteriori-limiting-landslide.py.

◆ time_in_between_plots

posteriori-limiting-landslide.time_in_between_plots

Definition at line 427 of file posteriori-limiting-landslide.py.

◆ unknowns

dictionary posteriori-limiting-landslide.unknowns = {"h": 1, "hu": 1, "hv": 1, "z": 1}

Definition at line 27 of file posteriori-limiting-landslide.py.

◆ use_aderdg

bool posteriori-limiting-landslide.use_aderdg = True

Definition at line 17 of file posteriori-limiting-landslide.py.

◆ use_fv

bool posteriori-limiting-landslide.use_fv = True

Definition at line 18 of file posteriori-limiting-landslide.py.

◆ use_limiting

bool posteriori-limiting-landslide.use_limiting = use_aderdg and use_fv

Definition at line 19 of file posteriori-limiting-landslide.py.

◆ with_limiting

int posteriori-limiting-landslide.with_limiting = 1

Definition at line 20 of file posteriori-limiting-landslide.py.

Variables

Variable Documentation

◆ aderdg_solver

◆ adjust_solution

◆ args

◆ auxiliary

◆ boundary_conditions

◆ CFL

◆ degrees_of_freedom

◆ dimensions

◆ dmp_differences_scaling

◆ dmp_relaxation_parameter

◆ eigenvalues

◆ end_time

◆ first_plot_time_stamp

◆ flux

◆ fv_solver

◆ g

◆ hThreshold

◆ initial_conditions

◆ isPhysicallyAdmissible

◆ landslide_case

◆ landslide_zoo

◆ limiter

◆ max_eigenvalue

◆ max_end_time

◆ max_h

◆ min_depth

◆ min_end_time

◆ min_h

◆ mode

◆ ncp

◆ number_of_dmp_observables

◆ offset

◆ order

◆ parser

◆ periodic_BC

◆ plot_interval

◆ project

◆ riemann_solver

◆ riemann_solver_aderdg

◆ riemann_solver_fv

◆ size

◆ source_term

◆ time_in_between_plots

◆ unknowns

◆ use_aderdg

◆ use_fv

◆ use_limiting

◆ with_limiting