Variables
str	define_radial_dam

str	initial_conditions

str	boundary_conditions

str	refinement_criterion

str	limiting_criterion

	parser = SWEArgumentParser()

	end_time

	width

	args = parser.parse_args()

tuple	max_h = (1.1 * min(args.width) / (3.0**args.min_depth))

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

	patch_size

dict	unknowns = {"h": 1, "hu": 1, "hv": 1, "b": 1}

	aderdg_solver

	plot_description

	is_linear

	False

	polynomials

dict	auxiliary_variables = {"b": 1}

	riemann_solver

	limiting_solver

	project

float	time_in_between_plots = 0.0

	dimensions

	size

	offset

	min_end_time

	max_end_time

	first_plot_time_stamp

	periodic_BC

str	strategy = f"toolbox::loadbalancing::strategies::{args.load_balancing_strategy}"

	assume_periodic_boundary_conditions

tuple	configuration

	mode

	make

	True

	make_clean_first

	throw_away_data_after_build

Variable Documentation

◆ aderdg_solver

radial-dam-break.aderdg_solver

Initial value:

=  exahype2.solvers.aderdg.GlobalAdaptiveTimeStep(
    name="ADERDG" + str(args.dg_order),
    order=args.dg_order,
    unknowns=unknowns,
    auxiliary_variables=0,
    min_cell_h=min_h,
    max_cell_h=max_h,
    time_step_relaxation=args.time_step_relaxation,
    initial_conditions=initial_conditions,
    boundary_conditions=boundary_conditions,
    refinement_criterion=refinement_criterion,
    flux="applications::exahype2::swe::flux(Q, x, h, t, dt, normal, F);",
    ncp="applications::exahype2::swe::nonconservativeProduct(Q, deltaQ, x, h, t, dt, normal, BTimesDeltaQ);",
    eigenvalues=,
)

Definition at line 78 of file radial-dam-break.py.

◆ args

radial-dam-break.args = parser.parse_args()

Definition at line 70 of file radial-dam-break.py.

◆ assume_periodic_boundary_conditions

radial-dam-break.assume_periodic_boundary_conditions

Initial value:

=  any([
        args.periodic_boundary_conditions_x,
        args.periodic_boundary_conditions_y,
    ])

Definition at line 169 of file radial-dam-break.py.

◆ auxiliary_variables

dict radial-dam-break.auxiliary_variables = {"b": 1}

Definition at line 106 of file radial-dam-break.py.

◆ boundary_conditions

str radial-dam-break.boundary_conditions

Initial value:

=  """
  using s = VariableShortcuts;
  Qoutside[s::h]  = Qinside[s::h];
  Qoutside[s::hu] = -Qinside[s::hu];
  Qoutside[s::hv] = -Qinside[s::hv];
  Qoutside[s::b]  = Qinside[s::b];
"""

Definition at line 49 of file radial-dam-break.py.

◆ configuration

tuple radial-dam-break.configuration

Initial value:

=  (
        f"new ::exahype2::LoadBalancingConfiguration("
        f"{args.load_balancing_quality},"
        f"0,"
        f"{'true' if assume_periodic_boundary_conditions else 'false'},"
        f"{args.trees},"
        f"{args.trees})"
    )

Definition at line 173 of file radial-dam-break.py.

◆ define_radial_dam

str radial-dam-break.define_radial_dam

Initial value:

=  """
  constexpr double DAM_RADIUS = 1.0;
 
  const double domainSizeHalfX = DomainSize[0] / 2.0;
  const double domainSizeHalfY = DomainSize[1] / 2.0;
 
  const double distanceFromOrigin = std::sqrt(
    (x[0] - domainSizeHalfX) * (x[0] - domainSizeHalfX) +
    (x[1] - domainSizeHalfY) * (x[1] - domainSizeHalfY)
  );
 
  const bool isInsideDam = distanceFromOrigin <= DAM_RADIUS;
  const bool isOutsideDam = distanceFromOrigin > DAM_RADIUS;
  const bool isDryRing = distanceFromOrigin >= 2 * DAM_RADIUS and distanceFromOrigin <= 3 * DAM_RADIUS;
"""

Definition at line 13 of file radial-dam-break.py.

◆ dimensions

radial-dam-break.dimensions

Definition at line 154 of file radial-dam-break.py.

◆ end_time

radial-dam-break.end_time

Definition at line 67 of file radial-dam-break.py.

◆ False

radial-dam-break.False

Definition at line 98 of file radial-dam-break.py.

◆ first_plot_time_stamp

radial-dam-break.first_plot_time_stamp

Definition at line 159 of file radial-dam-break.py.

◆ initial_conditions

str radial-dam-break.initial_conditions

Initial value:

=  define_radial_dam + """
  constexpr double INITIAL_WATER_HEIGHT_INSIDE_DAM = 1.1;
  constexpr double INITIAL_WATER_HEIGHT_OUTSIDE_DAM = 1.0;
  constexpr double BATHYMETRY_DRY_RING = 1.2;
 
  for (int i = 0; i < NumberOfUnknowns + NumberOfAuxiliaryVariables; i++) {
    Q[i] = 0.0;
  }
 
  using s = VariableShortcuts;
 
  Q[s::h] = isInsideDam ? INITIAL_WATER_HEIGHT_INSIDE_DAM : INITIAL_WATER_HEIGHT_OUTSIDE_DAM;
 
  if (isDryRing) {
    Q[s::h] = 0.0; // Dry ring
  }
 
  Q[s::b] = isDryRing ? BATHYMETRY_DRY_RING : 0.0;
"""

Definition at line 29 of file radial-dam-break.py.

◆ is_linear

radial-dam-break.is_linear

Definition at line 98 of file radial-dam-break.py.

◆ limiting_criterion

str radial-dam-break.limiting_criterion

Initial value:

=  define_radial_dam + """
  return distanceFromOrigin < DAM_RADIUS * 2; // Everything outside the dam (includes the dry ring) shall be limited
"""

Definition at line 61 of file radial-dam-break.py.

◆ limiting_solver

radial-dam-break.limiting_solver

Initial value:

=  exahype2.solvers.limiting.StaticLimiting(
    name="Limiting",
    regular_solver=aderdg_solver,
    limiting_solver=riemann_solver,
    limiting_criterion_implementation=limiting_criterion
)

Definition at line 130 of file radial-dam-break.py.

◆ make

radial-dam-break.make

Definition at line 191 of file radial-dam-break.py.

◆ make_clean_first

radial-dam-break.make_clean_first

Definition at line 191 of file radial-dam-break.py.

◆ max_end_time

radial-dam-break.max_end_time

Definition at line 158 of file radial-dam-break.py.

◆ max_h

tuple radial-dam-break.max_h = (1.1 * min(args.width) / (3.0**args.min_depth))

Definition at line 72 of file radial-dam-break.py.

◆ min_end_time

radial-dam-break.min_end_time

Definition at line 157 of file radial-dam-break.py.

◆ min_h

tuple radial-dam-break.min_h = max_h * 3.0 ** (-args.amr_levels)

Definition at line 73 of file radial-dam-break.py.

◆ mode

radial-dam-break.mode

Definition at line 185 of file radial-dam-break.py.

◆ offset

radial-dam-break.offset

Definition at line 156 of file radial-dam-break.py.

◆ parser

radial-dam-break.parser = SWEArgumentParser()

Definition at line 65 of file radial-dam-break.py.

◆ patch_size

radial-dam-break.patch_size

Definition at line 74 of file radial-dam-break.py.

◆ periodic_BC

radial-dam-break.periodic_BC

Definition at line 161 of file radial-dam-break.py.

◆ plot_description

radial-dam-break.plot_description

Definition at line 96 of file radial-dam-break.py.

◆ polynomials

radial-dam-break.polynomials

Definition at line 98 of file radial-dam-break.py.

◆ project

radial-dam-break.project

Initial value:

=  exahype2.Project(
    namespace=["applications", "exahype2", "swe"],
    project_name="RadialDamBreak",
    directory=".",
    executable=f"RadialDamBreak.{args.build_mode}",
)

Definition at line 137 of file radial-dam-break.py.

◆ refinement_criterion

str radial-dam-break.refinement_criterion

Initial value:

=  define_radial_dam + """
  return isInsideDam ? ::exahype2::RefinementCommand::Refine : ::exahype2::RefinementCommand::Keep;
"""

Definition at line 57 of file radial-dam-break.py.

◆ riemann_solver

radial-dam-break.riemann_solver

Initial value:

=  exahype2.solvers.fv.riemann.GlobalAdaptiveTimeStep(
    name="HLLEM" + str(args.patch_size),
    patch_size=args.patch_size,
    unknowns=unknowns,
    auxiliary_variables=auxiliary_variables,
    min_volume_h=min_h,
    max_volume_h=max_h,
    time_step_relaxation=args.time_step_relaxation,
    pde_terms_without_state=args.stateless,
    initial_conditions=re.sub(r'\bx\b', 'volumeCentre', initial_conditions),
    boundary_conditions=boundary_conditions,
    riemann_solver="return applications::exahype2::swe::hllem(QR, QL, FR, FL, LR, LL, xR, xL, h, t, dt, normal, APDQ, AMDQ);",
)

Definition at line 108 of file radial-dam-break.py.

◆ size

radial-dam-break.size

Definition at line 155 of file radial-dam-break.py.

◆ strategy

str radial-dam-break.strategy = f"toolbox::loadbalancing::strategies::{args.load_balancing_strategy}"

Definition at line 168 of file radial-dam-break.py.

◆ throw_away_data_after_build

radial-dam-break.throw_away_data_after_build

Definition at line 191 of file radial-dam-break.py.

◆ time_in_between_plots

radial-dam-break.time_in_between_plots = 0.0

Definition at line 148 of file radial-dam-break.py.

◆ True

radial-dam-break.True

Definition at line 191 of file radial-dam-break.py.

◆ unknowns

dict radial-dam-break.unknowns = {"h": 1, "hu": 1, "hv": 1, "b": 1}

Definition at line 76 of file radial-dam-break.py.

◆ width

radial-dam-break.width

Definition at line 68 of file radial-dam-break.py.