elastic Namespace Reference

Variables
int	dimensions = 2
int	patch_size = 16
int	depth = 5
float	end_time = 1.0
list	size = [20.0, 20.0, 20.0]
list	offset = [-5.0, 0.0, 0.0]
float	time_in_between_two_snapshots = end_time / 10
str	compile_mode = "Release"
	my_project
	my_solver
	my_pde
	v = my_pde.name_Q_entries(0, dimensions, "v")
	sigma = my_pde.name_Q_entries(dimensions, 3 if dimensions == 2 else 6, "sigma")
	rho = sympy.symbols("rho")
	cp = sympy.symbols("cp")
	cs = sympy.symbols("cs")
	mu = rho * cs * cs
float	lamb = rho * cp * cp - 2.0 * mu
	t0 = sympy.symbols("t0")
	M0 = sympy.symbols("M0")
	t = sympy.symbols("t")
	force = M0 * t / (t0 * t0) * sympy.exp(-t / t0)
	max_h = sympy.symbols("MaxAdmissibleVolumeH")
	point_source
	initial_conditions
	boundary_conditions
	flux
	max_eigenvalue
	source_term
	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

elastic.boundary_conditions

Definition at line 255 of file elastic.py.

compile_mode

str elastic.compile_mode = "Release"

Definition at line 51 of file elastic.py.

cp

elastic.cp = sympy.symbols("cp")

Definition at line 99 of file elastic.py.

cs

elastic.cs = sympy.symbols("cs")

Definition at line 100 of file elastic.py.

depth

int elastic.depth = 5

Definition at line 29 of file elastic.py.

dimensions

elastic.dimensions = 2

Definition at line 19 of file elastic.py.

end_time

float elastic.end_time = 1.0

Definition at line 34 of file elastic.py.

first_plot_time_stamp

elastic.first_plot_time_stamp

Definition at line 281 of file elastic.py.

flux

elastic.flux

Definition at line 256 of file elastic.py.

force

elastic.force = M0 * t / (t0 * t0) * sympy.exp(-t / t0)

Definition at line 213 of file elastic.py.

initial_conditions

elastic.initial_conditions

Definition at line 254 of file elastic.py.

lamb

float elastic.lamb = rho * cp * cp - 2.0 * mu

Definition at line 104 of file elastic.py.

M0

elastic.M0 = sympy.symbols("M0")

Definition at line 211 of file elastic.py.

make

elastic.make

Definition at line 319 of file elastic.py.

make_clean_first

elastic.make_clean_first

Definition at line 319 of file elastic.py.

max_eigenvalue

elastic.max_eigenvalue

Definition at line 257 of file elastic.py.

max_end_time

elastic.max_end_time

Definition at line 280 of file elastic.py.

max_h

elastic.max_h = sympy.symbols("MaxAdmissibleVolumeH")

Definition at line 215 of file elastic.py.

min_end_time

elastic.min_end_time

Definition at line 279 of file elastic.py.

mode

elastic.mode

Definition at line 303 of file elastic.py.

mu

elastic.mu = rho * cs * cs

Definition at line 103 of file elastic.py.

my_pde

elastic.my_pde

Initial value:

=  symhype.FirstOrderConservativePDEFormulation(
    unknowns=dimensions + (3 if dimensions == 2 else 6),
    auxiliary_variables=0,
    dimensions=dimensions,
)

Definition at line 85 of file elastic.py.

my_project

elastic.my_project

Initial value:

=  exahype2.Project(
    namespace=["tutorials", "symhype", "elastic"],
    project_name="Elastic",
    directory=".",
    executable="Elastic",
)

Definition at line 57 of file elastic.py.

my_solver

elastic.my_solver

Initial value:

=  exahype2.solvers.fv.godunov.GlobalAdaptiveTimeStep(
    name="FVSolver",
    patch_size=patch_size,
    unknowns=dimensions
    + (
        3 if dimensions == 2 else 6
    ),  # 3 (v_x, v_y, v_z) + 6 (σ_xx, σ_yy, σ_zz, σ_xy, σ_xz, σ_yz)
    auxiliary_variables=0,
    min_volume_h=(1.1 * min(size[0:dimensions]) / (3.0**depth)),
    max_volume_h=(1.1 * min(size[0:dimensions]) / (3.0**depth)),
    time_step_relaxation=0.5,
)

Definition at line 69 of file elastic.py.

offset

elastic.offset = [-5.0, 0.0, 0.0]

Definition at line 40 of file elastic.py.

patch_size

int elastic.patch_size = 16

Definition at line 24 of file elastic.py.

periodic_BC

elastic.periodic_BC

Definition at line 283 of file elastic.py.

plot_description

elastic.plot_description

Definition at line 265 of file elastic.py.

point_source

elastic.point_source

Initial value:

=  sympy.sqrt(
        (10 - my_pde.x[0]) ** 2 + (10 - my_pde.x[1]) ** 2 + (10 - my_pde.x[2]) ** 2
    )

Definition at line 218 of file elastic.py.

rho

elastic.rho = sympy.symbols("rho")

Definition at line 98 of file elastic.py.

sigma

elastic.sigma = my_pde.name_Q_entries(dimensions, 3 if dimensions == 2 else 6, "sigma")

Definition at line 95 of file elastic.py.

size

elastic.size = [20.0, 20.0, 20.0]

Definition at line 39 of file elastic.py.

source_term

elastic.source_term

Definition at line 258 of file elastic.py.

t

elastic.t = sympy.symbols("t")

Definition at line 212 of file elastic.py.

t0

elastic.t0 = sympy.symbols("t0")

Definition at line 210 of file elastic.py.

throw_away_data_after_build

elastic.throw_away_data_after_build

Definition at line 319 of file elastic.py.

time_in_between_plots

elastic.time_in_between_plots

Definition at line 282 of file elastic.py.

time_in_between_two_snapshots

float elastic.time_in_between_two_snapshots = end_time / 10

Definition at line 45 of file elastic.py.

True

elastic.True

Definition at line 319 of file elastic.py.

v

elastic.v = my_pde.name_Q_entries(0, dimensions, "v")

Definition at line 93 of file elastic.py.