static-limiting-swe Namespace Reference

Functions
	initial_conditions (x)

Variables
	project
int	dimensions = 2
int	min_level = 3
int	max_depth = 0
int	order = 5
float	end_time = 1.0
float	plot_interval = 0.0
list	offset = [-1.0, -1.0, -1.0][0:dimensions]
list	size = [2.0, 2.0, 2.0][0:dimensions]
float	max_h = 1.1 * min(size) / (3.0**min_level)
float	min_h = max_h / (3.0**max_depth)
str	boundary_conditions
str	flux
str	ncp
str	max_eval
str	limiting_criterion
	aderdg_solver
	polynomials
	fv_solver
	limiter
	build_mode = peano4.api.output.CompileMode.RELEASE
	min_end_time
	max_end_time
	first_plot_time_stamp
	time_in_between_plots
	periodic_BC
	make_clean_first

Function Documentation

initial_conditions()

static-limiting-swe.initial_conditions

(

x

)

Definition at line 23 of file static-limiting-swe.py.

Variable Documentation

aderdg_solver

static-limiting-swe.aderdg_solver

Initial value:

=  exahype2.solvers.aderdg.GlobalAdaptiveTimeStep(
    name="ADERDGSolver",
    order=order,
    unknowns=4,
    auxiliary_variables=0,
    min_cell_h=min_h,
    max_cell_h=max_h,
    time_step_relaxation=0.9,
    flux=flux,
    ncp=ncp,
    eigenvalues=max_eval,
    initial_conditions=initial_conditions("x"),
    boundary_conditions=boundary_conditions,
)

Definition at line 88 of file static-limiting-swe.py.

boundary_conditions

str static-limiting-swe.boundary_conditions

Initial value:

=  """
  Qoutside[0] = Qinside[0];
  Qoutside[1] = Qinside[1];
  Qoutside[2] = Qinside[2];
  Qoutside[3] = Qinside[3];
"""

Definition at line 36 of file static-limiting-swe.py.

build_mode

static-limiting-swe.build_mode = peano4.api.output.CompileMode.RELEASE

Definition at line 133 of file static-limiting-swe.py.

dimensions

static-limiting-swe.dimensions = 2

Definition at line 10 of file static-limiting-swe.py.

end_time

float static-limiting-swe.end_time = 1.0

Definition at line 14 of file static-limiting-swe.py.

first_plot_time_stamp

static-limiting-swe.first_plot_time_stamp

Definition at line 141 of file static-limiting-swe.py.

flux

str static-limiting-swe.flux

Initial value:

=  """
  double ih = 1.0 / Q[0];
 
  F[0] = Q[1 + normal];
  F[1] = Q[1 + normal] * Q[1] * ih;
  F[2] = Q[1 + normal] * Q[2] * ih;
  F[3] = 0.0;
"""

Definition at line 43 of file static-limiting-swe.py.

fv_solver

static-limiting-swe.fv_solver

Initial value:

=  exahype2.solvers.fv.rusanov.GlobalAdaptiveTimeStep(
    name="FVSolver",
    patch_size=2 * order + 1,
    unknowns=4,
    auxiliary_variables=0,
    min_volume_h=min_h,
    max_volume_h=max_h,
    time_step_relaxation=0.9,
    flux=flux,
    ncp=ncp,
    eigenvalues=max_eval,
    initial_conditions=initial_conditions("volumeCentre"),
    boundary_conditions=boundary_conditions,
)

Definition at line 107 of file static-limiting-swe.py.

limiter

static-limiting-swe.limiter

Initial value:

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

Definition at line 123 of file static-limiting-swe.py.

limiting_criterion

str static-limiting-swe.limiting_criterion

Initial value:

=  """
bool isBoundaryCell = (
  x[0] + 1.00 <  0.5 * h[0] or
  x[1] + 1.00 <  0.5 * h[1] or
  x[0] - 1.00 > -0.5 * h[0] or
  x[1] - 1.00 > -0.5 * h[1]
);
return !isBoundaryCell;
"""

Definition at line 78 of file static-limiting-swe.py.

make_clean_first

static-limiting-swe.make_clean_first

Definition at line 154 of file static-limiting-swe.py.

max_depth

int static-limiting-swe.max_depth = 0

Definition at line 12 of file static-limiting-swe.py.

max_end_time

static-limiting-swe.max_end_time

Definition at line 140 of file static-limiting-swe.py.

max_eval

str static-limiting-swe.max_eval

Initial value:

=  """
  constexpr double grav = 9.81;
 
  double u = Q[1 + normal] / Q[0];
  double c = std::sqrt(grav * Q[0]);
 
  return std::max(std::abs(u + c), std::abs(u - c));
"""

Definition at line 69 of file static-limiting-swe.py.

max_h

float static-limiting-swe.max_h = 1.1 * min(size) / (3.0**min_level)

Definition at line 19 of file static-limiting-swe.py.

min_end_time

static-limiting-swe.min_end_time

Definition at line 139 of file static-limiting-swe.py.

min_h

float static-limiting-swe.min_h = max_h / (3.0**max_depth)

Definition at line 20 of file static-limiting-swe.py.

min_level

int static-limiting-swe.min_level = 3

Definition at line 11 of file static-limiting-swe.py.

ncp

str static-limiting-swe.ncp

Initial value:

=  """
  constexpr double grav = 9.81;
 
  BTimesDeltaQ[0] = 0.0;
  switch (normal) {
  case 0:
    BTimesDeltaQ[1] = grav * Q[0] * (deltaQ[0] + deltaQ[3]);
    BTimesDeltaQ[2] = 0.0;
    break;
  case 1:
    BTimesDeltaQ[1] = 0.0;
    BTimesDeltaQ[2] = grav * Q[0] * (deltaQ[0] + deltaQ[3]);
    break;
  }
  BTimesDeltaQ[3] = 0.0;
"""

Definition at line 52 of file static-limiting-swe.py.

offset

static-limiting-swe.offset = [-1.0, -1.0, -1.0][0:dimensions]

Definition at line 17 of file static-limiting-swe.py.

order

int static-limiting-swe.order = 5

Definition at line 13 of file static-limiting-swe.py.

periodic_BC

static-limiting-swe.periodic_BC

Definition at line 143 of file static-limiting-swe.py.

plot_interval

float static-limiting-swe.plot_interval = 0.0

Definition at line 15 of file static-limiting-swe.py.

polynomials

static-limiting-swe.polynomials

Definition at line 103 of file static-limiting-swe.py.

project

static-limiting-swe.project

Initial value:

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

Definition at line 6 of file static-limiting-swe.py.

size

static-limiting-swe.size = [2.0, 2.0, 2.0][0:dimensions]

Definition at line 18 of file static-limiting-swe.py.

time_in_between_plots

static-limiting-swe.time_in_between_plots

Definition at line 142 of file static-limiting-swe.py.