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
dict	unknowns = {"h": 1, "hu": 1, "hv": 1, "z": 1}
dict	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
dict	landslide_zoo
str	landslide_case = "DownTheSlope"
dict	initial_conditions = landslide_zoo[landslide_case]
str	boundary_conditions
str	flux
str	ncp
str	source_term
str	eigenvalues
str	adjust_solution
str	riemann_solver_aderdg
str	riemann_solver_fv
str	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 368 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

dict 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

str 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 429 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 389 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

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

Definition at line 329 of file posteriori-limiting-landslide.py.

◆ landslide_case

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

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

◆ landslide_zoo

dict 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 411 of file posteriori-limiting-landslide.py.

◆ max_eigenvalue

posteriori-limiting-landslide.max_eigenvalue

Definition at line 379 of file posteriori-limiting-landslide.py.

◆ max_end_time

posteriori-limiting-landslide.max_end_time

Definition at line 428 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 427 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 435 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 431 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 384 of file posteriori-limiting-landslide.py.

◆ riemann_solver_aderdg

str posteriori-limiting-landslide.riemann_solver_aderdg

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

◆ riemann_solver_fv

str 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 430 of file posteriori-limiting-landslide.py.

◆ unknowns

dict 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