Gallery of all PyClaw applications ¶

Contents

Gallery of all PyClaw applications

1-dimensional advection ¶

Advecting Gaussian with periodic boundary.

Source code … Plots

../../_images/pyclaw_examples_advection_1d__plots_advection_1d_frame0000fig1.png

../../_images/pyclaw_examples_advection_1d__plots_advection_1d_frame0004fig1.png

../../_images/pyclaw_examples_advection_1d__plots_advection_1d_frame0010fig1.png

1-dimensional variable-velocity advection ¶

Advecting Gaussian and square wave with periodic boundary.

Source code … Plots

../../_images/pyclaw_examples_advection_1d_variable__plots_variable_coefficient_advection_frame0000fig1.png

../../_images/pyclaw_examples_advection_1d_variable__plots_variable_coefficient_advection_frame0004fig1.png

../../_images/pyclaw_examples_advection_1d_variable__plots_variable_coefficient_advection_frame0008fig1.png

1-dimensional acoustics ¶

Acoustics equations with wall boundary at left and extrap at right.

Source code … Plots

../../_images/pyclaw_examples_acoustics_1d_homogeneous__plots_acoustics_1d_frame0000fig1.png

../../_images/pyclaw_examples_acoustics_1d_homogeneous__plots_acoustics_1d_frame0002fig1.png

../../_images/pyclaw_examples_acoustics_1d_homogeneous__plots_acoustics_1d_frame0005fig1.png

1-dimensional Burgers’ equation ¶

Burgers’ equation with sinusoidal initial data, steepening to N-wave.

Source code … Plots

../../_images/pyclaw_examples_burgers_1d__plots_burgers_1d_frame0000fig0.png

../../_images/pyclaw_examples_burgers_1d__plots_burgers_1d_frame0003fig0.png

../../_images/pyclaw_examples_burgers_1d__plots_burgers_1d_frame0006fig0.png

1-dimensional shallow water equation ¶

Shallow water shock tube.

Source code … Plots

../../_images/pyclaw_examples_shallow_1d__plots_dam_break_frame0000fig0.png

../../_images/pyclaw_examples_shallow_1d__plots_dam_break_frame0003fig0.png

../../_images/pyclaw_examples_shallow_1d__plots_dam_break_frame0006fig0.png

Flow over a sill.

Source code … Plots

../../_images/pyclaw_examples_shallow_1d__plots_sill_frame0000fig0.png

../../_images/pyclaw_examples_shallow_1d__plots_sill_frame0003fig0.png

../../_images/pyclaw_examples_shallow_1d__plots_sill_frame0006fig0.png

1-dimensional nonlinear elasticity ¶

Evolution of two trains of solitary waves from an initial gaussian.

Source code … Plots

../../_images/pyclaw_examples_stegoton_1d__plots_stegoton_frame0000fig1.png

../../_images/pyclaw_examples_stegoton_1d__plots_stegoton_frame0003fig1.png

../../_images/pyclaw_examples_stegoton_1d__plots_stegoton_frame0005fig1.png

1-dimensional Euler equations ¶

Woodward-Colella blast-wave interaction problem.

Source code … Plots

../../_images/pyclaw_examples_euler_1d__plots_woodward_colella_blast_frame0000fig0.png

../../_images/pyclaw_examples_euler_1d__plots_woodward_colella_blast_frame0003fig0.png

../../_images/pyclaw_examples_euler_1d__plots_woodward_colella_blast_frame0010fig0.png

Shu-Osher problem.

Source code … Plots

../../_images/pyclaw_examples_euler_1d__plots_shocksine_frame0000fig0.png

../../_images/pyclaw_examples_euler_1d__plots_shocksine_frame0003fig0.png

../../_images/pyclaw_examples_euler_1d__plots_shocksine_frame0010fig0.png

Shock tube problem.

Source code … Plots

../../_images/pyclaw_examples_euler_1d__plots_shocktube_frame0000fig0.png

../../_images/pyclaw_examples_euler_1d__plots_shocktube_frame0003fig0.png

../../_images/pyclaw_examples_euler_1d__plots_shocktube_frame0010fig0.png

2-dimensional advection ¶

Advecting square with periodic boundary conditions.

Source code … Plots

../../_images/pyclaw_examples_advection_2d__plots_advection_2d_frame0000fig0.png

../../_images/pyclaw_examples_advection_2d__plots_advection_2d_frame0002fig0.png

../../_images/pyclaw_examples_advection_2d__plots_advection_2d_frame0004fig0.png

2-dimensional variable-coefficient advection ¶

Advection in an annular region.

Source code … Plots

../../_images/pyclaw_examples_advection_2d_annulus__plots_advection_annulus_frame0000fig0.png

../../_images/pyclaw_examples_advection_2d_annulus__plots_advection_annulus_frame0004fig0.png

../../_images/pyclaw_examples_advection_2d_annulus__plots_advection_annulus_frame0008fig0.png

2-dimensional acoustics ¶

Expanding radial acoustic wave in a homogeneous medium.

Source code … Plots

../../_images/pyclaw_examples_acoustics_2d_homogeneous__plots_acoustics_2d_frame0000fig0.png

../../_images/pyclaw_examples_acoustics_2d_homogeneous__plots_acoustics_2d_frame0002fig0.png

../../_images/pyclaw_examples_acoustics_2d_homogeneous__plots_acoustics_2d_frame0004fig0.png

2-dimensional variable-coefficient acoustics ¶

Expanding radial acoustic wave in a two-material medium with an interface.

Source code … Plots

../../_images/pyclaw_examples_acoustics_2d_variable__plots_acoustics_2d_interface_frame0000fig0.png

../../_images/pyclaw_examples_acoustics_2d_variable__plots_acoustics_2d_interface_frame0010fig0.png

../../_images/pyclaw_examples_acoustics_2d_variable__plots_acoustics_2d_interface_frame0020fig0.png

Acoustic wave scattered by two cylinders.

Source code … Plots

../../_images/pyclaw_examples_acoustics_2d_mapped__plots_acoustics_2d_inclusions_frame0000fig0.png

../../_images/pyclaw_examples_acoustics_2d_mapped__plots_acoustics_2d_inclusions_frame0010fig0.png

../../_images/pyclaw_examples_acoustics_2d_mapped__plots_acoustics_2d_inclusions_frame0020fig0.png

2-dimensional advection-reaction ¶

Source code … Plots

../../_images/pyclaw_examples_advection_reaction_2d__plots_advection_reaction_frame0000fig0.png

../../_images/pyclaw_examples_advection_reaction_2d__plots_advection_reaction_frame0004fig0.png

../../_images/pyclaw_examples_advection_reaction_2d__plots_advection_reaction_frame0010fig0.png

2-dimensional shallow water equations ¶

Radial dam-break.

Source code … Plots

../../_images/pyclaw_examples_shallow_2d__plots_radial_dam_break_frame0000fig0.png

../../_images/pyclaw_examples_shallow_2d__plots_radial_dam_break_frame0004fig0.png

../../_images/pyclaw_examples_shallow_2d__plots_radial_dam_break_frame0010fig0.png

2-dimensional shallow water on the sphere ¶

Wavenumber 4 Rossby-Haurwitz wave on a rotating sphere.

Source code … Plots

pyclaw/gallery/thumbnails/pyclaw_examples_shallow_sphere__plots_Rossby_wave_frame0000fig0.png

pyclaw/gallery/thumbnails/pyclaw_examples_shallow_sphere__plots_Rossby_wave_frame0004fig0.png

pyclaw/gallery/thumbnails/pyclaw_examples_shallow_sphere__plots_Rossby_wave_frame0010fig0.png

2-dimensional Euler equations ¶

Shock-bubble interaction.

Source code … Plots

../../_images/pyclaw_examples_euler_2d__plots_shock_bubble_interaction_frame0000fig0.png

../../_images/pyclaw_examples_euler_2d__plots_shock_bubble_interaction_frame0004fig0.png

../../_images/pyclaw_examples_euler_2d__plots_shock_bubble_interaction_frame0010fig0.png

Quadrants: 2D Riemann problem with four shockwaves.

Source code … Plots

../../_images/pyclaw_examples_euler_2d__plots_quadrants_frame0000fig0.png

../../_images/pyclaw_examples_euler_2d__plots_quadrants_frame0004fig0.png

../../_images/pyclaw_examples_euler_2d__plots_quadrants_frame0010fig0.png

2-dimensional KPP equation ¶

Non-convex flux example.

Source code … Plots

../../_images/pyclaw_examples_kpp__plots_kpp_frame0000fig1.png

../../_images/pyclaw_examples_kpp__plots_kpp_frame0004fig1.png

../../_images/pyclaw_examples_kpp__plots_kpp_frame0010fig1.png

2-dimensional p-system ¶

Radial wave in a checkerboard-like medium.

Source code … Plots

../../_images/pyclaw_examples_psystem_2d__plots_psystem_2d_frame0000fig0.png

../../_images/pyclaw_examples_psystem_2d__plots_psystem_2d_frame0004fig0.png

../../_images/pyclaw_examples_psystem_2d__plots_psystem_2d_frame0010fig0.png