euler Namespace Reference

Data Structures
class	Euler

Variables
int	dimensions = 2
int	patch_size = 16
float	volume_size = 0.01
float	end_time = 1.0
list	size = [1.0, 1.0, 1.0]
list	offset = [0.0, 0.0, 0.0]
float	time_in_between_two_snapshots = end_time / 100
	compile_mode = peano4.output.CompileMode.Release
	my_project
	my_solver
	my_pde
	gamma = sympy.symbols("gamma")
	rho = my_pde.name_Q_entry(0, "rho")
	j = my_pde.name_Q_entries(1, dimensions, "j")
	E = my_pde.name_Q_entry(dimensions + 1, "E")
tuple	p = (gamma - 1) * (E - 1 / 2 * exahype2.symhype.dot(j, j) / rho)
	c = sympy.sqrt(gamma * p / rho)
	u = j / rho
	volume_centre = sympy.sqrt((0.5 - my_pde.x[0]) ** 2 + (0.5 - my_pde.x[1]) ** 2)
	initial_conditions
	boundary_conditions
	flux
	eigenvalues
	plot_description
	min_end_time
	max_end_time
	first_plot_time_stamp
	time_in_between_plots
	periodic_BC
	mode
	make
	True
	make_clean_first
	throw_away_data_after_build

Variable Documentation

boundary_conditions

euler.boundary_conditions

Definition at line 164 of file euler.py.

c

euler.c = sympy.sqrt(gamma * p / rho)

Definition at line 116 of file euler.py.

compile_mode

euler.compile_mode = peano4.output.CompileMode.Release

Definition at line 53 of file euler.py.

dimensions

euler.dimensions = 2

Definition at line 21 of file euler.py.

E

euler.E = my_pde.name_Q_entry(dimensions + 1, "E")

Definition at line 101 of file euler.py.

eigenvalues

euler.eigenvalues

Definition at line 166 of file euler.py.

end_time

float euler.end_time = 1.0

Definition at line 36 of file euler.py.

first_plot_time_stamp

euler.first_plot_time_stamp

Definition at line 189 of file euler.py.

flux

euler.flux

Definition at line 165 of file euler.py.

gamma

euler.gamma = sympy.symbols("gamma")

Definition at line 94 of file euler.py.

initial_conditions

euler.initial_conditions

Definition at line 163 of file euler.py.

j

euler.j = my_pde.name_Q_entries(1, dimensions, "j")

Definition at line 99 of file euler.py.

make

euler.make

Definition at line 232 of file euler.py.

make_clean_first

euler.make_clean_first

Definition at line 232 of file euler.py.

max_end_time

euler.max_end_time

Definition at line 188 of file euler.py.

min_end_time

euler.min_end_time

Definition at line 187 of file euler.py.

mode

euler.mode

Definition at line 217 of file euler.py.

my_pde

euler.my_pde

Initial value:

=  exahype2.symhype.FirstOrderConservativePDEFormulation(
    unknowns=dimensions + 2, auxiliary_variables=0, dimensions=dimensions
)

Definition at line 86 of file euler.py.

my_project

euler.my_project

Initial value:

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

Definition at line 59 of file euler.py.

my_solver

euler.my_solver

Initial value:

=  exahype2.solvers.fv.rusanov.GlobalAdaptiveTimeStep(
    name="Euler",
    patch_size=patch_size,
    unknowns=dimensions + 2,  # [rho, u, v, (w), e]
    auxiliary_variables=0,  # This could be something alike material parameters. Not required for Euler.
    min_volume_h=volume_size,
    max_volume_h=volume_size,
    time_step_relaxation=0.5,
)

Definition at line 72 of file euler.py.

offset

euler.offset = [0.0, 0.0, 0.0]

Definition at line 42 of file euler.py.

p

tuple euler.p = (gamma - 1) * (E - 1 / 2 * exahype2.symhype.dot(j, j) / rho)

Definition at line 103 of file euler.py.

patch_size

int euler.patch_size = 16

Definition at line 26 of file euler.py.

periodic_BC

euler.periodic_BC

Definition at line 191 of file euler.py.

plot_description

euler.plot_description

Definition at line 173 of file euler.py.

rho

euler.rho = my_pde.name_Q_entry(0, "rho")

Definition at line 96 of file euler.py.

size

euler.size = [1.0, 1.0, 1.0]

Definition at line 41 of file euler.py.

throw_away_data_after_build

euler.throw_away_data_after_build

Definition at line 232 of file euler.py.

time_in_between_plots

euler.time_in_between_plots

Definition at line 190 of file euler.py.

time_in_between_two_snapshots

float euler.time_in_between_two_snapshots = end_time / 100

Definition at line 47 of file euler.py.

True

euler.True

Definition at line 232 of file euler.py.

u

euler.u = j / rho

Definition at line 117 of file euler.py.

volume_centre

euler.volume_centre = sympy.sqrt((0.5 - my_pde.x[0]) ** 2 + (0.5 - my_pde.x[1]) ** 2)

Definition at line 144 of file euler.py.

volume_size

float euler.volume_size = 0.01

Definition at line 31 of file euler.py.