:group: pyclaw .. _gallery_all: ================================== Gallery of all PyClaw applications ================================== .. contents:: 1-dimensional advection ======================= Advecting Gaussian with periodic boundary. `Source code `__ ... `Plots <../../_static/pyclaw/examples/advection_1d/_plots/_PlotIndex.html>`__ .. image:: thumbnails/pyclaw_examples_advection_1d__plots_frame0000fig1.png :width: 5cm :target: ../../_static/pyclaw/examples/advection_1d/_plots/frame0000fig1.html .. image:: thumbnails/pyclaw_examples_advection_1d__plots_frame0004fig1.png :width: 5cm :target: ../../_static/pyclaw/examples/advection_1d/_plots/frame0004fig1.html .. image:: thumbnails/pyclaw_examples_advection_1d__plots_frame0010fig1.png :width: 5cm :target: ../../_static/pyclaw/examples/advection_1d/_plots/frame0010fig1.html 1-dimensional variable-velocity advection ========================================= Advecting Gaussian and square wave with periodic boundary. `Source code `__ ... `Plots <../../_static/pyclaw/examples/advection_1d_variable/_plots/_PlotIndex.html>`__ .. image:: thumbnails/pyclaw_examples_advection_1d_variable__plots_frame0000fig1.png :width: 5cm :target: ../../_static/pyclaw/examples/advection_1d_variable/_plots/frame0000fig1.html .. image:: thumbnails/pyclaw_examples_advection_1d_variable__plots_frame0004fig1.png :width: 5cm :target: ../../_static/pyclaw/examples/advection_1d_variable/_plots/frame0004fig1.html .. image:: thumbnails/pyclaw_examples_advection_1d_variable__plots_frame0008fig1.png :width: 5cm :target: ../../_static/pyclaw/examples/advection_1d_variable/_plots/frame0008fig1.html 1-dimensional acoustics ======================= Acoustics equations with wall boundary at left and extrap at right. `Source code `__ ... `Plots <../../_static/pyclaw/examples/acoustics_1d_homogeneous/_plots/_PlotIndex.html>`__ .. image:: thumbnails/pyclaw_examples_acoustics_1d_homogeneous__plots_frame0000fig1.png :width: 5cm :target: ../../_static/pyclaw/examples/acoustics_1d_homogeneous/_plots/frame0000fig1.html .. image:: thumbnails/pyclaw_examples_acoustics_1d_homogeneous__plots_frame0002fig1.png :width: 5cm :target: ../../_static/pyclaw/examples/acoustics_1d_homogeneous/_plots/frame0002fig1.html .. image:: thumbnails/pyclaw_examples_acoustics_1d_homogeneous__plots_frame0005fig1.png :width: 5cm :target: ../../_static/pyclaw/examples/acoustics_1d_homogeneous/_plots/frame0005fig1.html 1-dimensional Burgers' equation =============================== Burgers' equation with sinusoidal initial data, steepening to N-wave. `Source code `__ ... `Plots <../../_static/pyclaw/examples/burgers_1d/_plots/_PlotIndex.html>`__ .. image:: thumbnails/pyclaw_examples_burgers_1d__plots_frame0000fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/burgers_1d/_plots/frame0000fig0.html .. image:: thumbnails/pyclaw_examples_burgers_1d__plots_frame0003fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/burgers_1d/_plots/frame0003fig0.html .. image:: thumbnails/pyclaw_examples_burgers_1d__plots_frame0006fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/burgers_1d/_plots/frame0006fig0.html 1-dimensional shallow water equation ==================================== Shallow water shock tube. `Source code `__ ... `Plots <../../_static/pyclaw/examples/shallow_1d/_plots/_PlotIndex.html>`__ .. image:: thumbnails/pyclaw_examples_shallow_1d__plots_frame0000fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/shallow_1d/_plots/frame0000fig0.html .. image:: thumbnails/pyclaw_examples_shallow_1d__plots_frame0003fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/shallow_1d/_plots/frame0003fig0.html .. image:: thumbnails/pyclaw_examples_shallow_1d__plots_frame0006fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/shallow_1d/_plots/frame0006fig0.html 1-dimensional nonlinear elasticity ================================== Evolution of two trains of solitary waves from an initial gaussian. `Source code `__ ... `Plots <../../_static/pyclaw/examples/stegoton_1d/_plots/_PlotIndex.html>`__ .. image:: thumbnails/pyclaw_examples_stegoton_1d__plots_frame0000fig1.png :width: 5cm :target: ../../_static/pyclaw/examples/stegoton_1d/_plots/frame0000fig1.html .. image:: thumbnails/pyclaw_examples_stegoton_1d__plots_frame0003fig1.png :width: 5cm :target: ../../_static/pyclaw/examples/stegoton_1d/_plots/frame0003fig1.html .. image:: thumbnails/pyclaw_examples_stegoton_1d__plots_frame0005fig1.png :width: 5cm :target: ../../_static/pyclaw/examples/stegoton_1d/_plots/frame0005fig1.html 1-dimensional Euler equations ============================= Woodward-Colella blast-wave interaction problem. `Source code `__ ... `Plots <../../_static/pyclaw/examples/euler_1d/_plots/_PlotIndex.html>`__ .. image:: thumbnails/pyclaw_examples_euler_1d__plots_frame0000fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/euler_1d/_plots/frame0000fig0.html .. image:: thumbnails/pyclaw_examples_euler_1d__plots_frame0003fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/euler_1d/_plots/frame0003fig0.html .. image:: thumbnails/pyclaw_examples_euler_1d__plots_frame0010fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/euler_1d/_plots/frame0010fig0.html 2-dimensional advection ======================= Advecting square with periodic boundary conditions. `Source code `__ ... `Plots <../../_static/pyclaw/examples/advection_2d/_plots/_PlotIndex.html>`__ .. image:: thumbnails/pyclaw_examples_advection_2d__plots_frame0000fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/advection_2d/_plots/frame0000fig0.html .. image:: thumbnails/pyclaw_examples_advection_2d__plots_frame0002fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/advection_2d/_plots/frame0002fig0.html .. image:: thumbnails/pyclaw_examples_advection_2d__plots_frame0004fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/advection_2d/_plots/frame0004fig0.html 2-dimensional variable-coefficient advection ============================================ Advection in an annular region. `Source code `__ ... `Plots <../../_static/pyclaw/examples/advection_2d_annulus/_plots/_PlotIndex.html>`__ .. image:: thumbnails/pyclaw_examples_advection_2d_annulus__plots_frame0000fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/advection_2d_annulus/_plots/frame0000fig0.html .. image:: thumbnails/pyclaw_examples_advection_2d_annulus__plots_frame0004fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/advection_2d_annulus/_plots/frame0004fig0.html .. image:: thumbnails/pyclaw_examples_advection_2d_annulus__plots_frame0008fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/advection_2d_annulus/_plots/frame0008fig0.html 2-dimensional acoustics ======================= Expanding radial acoustic wave in a homogeneous medium. `Source code `__ ... `Plots <../../_static/pyclaw/examples/acoustics_2d_homogeneous/_plots/_PlotIndex.html>`__ .. image:: thumbnails/pyclaw_examples_acoustics_2d_homogeneous__plots_frame0000fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/acoustics_2d_homogeneous/_plots/frame0000fig0.html .. image:: thumbnails/pyclaw_examples_acoustics_2d_homogeneous__plots_frame0002fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/acoustics_2d_homogeneous/_plots/frame0002fig0.html .. image:: thumbnails/pyclaw_examples_acoustics_2d_homogeneous__plots_frame0004fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/acoustics_2d_homogeneous/_plots/frame0004fig0.html 2-dimensional variable-coefficient acoustics ============================================ Expanding radial acoustic wave in a two-material medium with an interface. `Source code `__ ... `Plots <../../_static/pyclaw/examples/acoustics_2d_variable/_plots/_PlotIndex.html>`__ .. image:: thumbnails/pyclaw_examples_acoustics_2d_variable__plots_frame0000fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/acoustics_2d_variable/_plots/frame0000fig0.html .. image:: thumbnails/pyclaw_examples_acoustics_2d_variable__plots_frame0010fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/acoustics_2d_variable/_plots/frame0010fig0.html .. image:: thumbnails/pyclaw_examples_acoustics_2d_variable__plots_frame0020fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/acoustics_2d_variable/_plots/frame0020fig0.html 2-dimensional shallow water equations ===================================== Radial dam-break. `Source code `__ ... `Plots <../../_static/pyclaw/examples/shallow_2d/_plots/_PlotIndex.html>`__ .. image:: thumbnails/pyclaw_examples_shallow_2d__plots_frame0000fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/shallow_2d/_plots/frame0000fig0.html .. image:: thumbnails/pyclaw_examples_shallow_2d__plots_frame0004fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/shallow_2d/_plots/frame0004fig0.html .. image:: thumbnails/pyclaw_examples_shallow_2d__plots_frame0010fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/shallow_2d/_plots/frame0010fig0.html 2-dimensional shallow water on the sphere ========================================= Wavenumber 4 Rossby-Haurwitz wave on a rotating sphere. `Source code `__ ... `Plots <../../_static/pyclaw/examples/shallow_sphere/_plots/_PlotIndex.html>`__ .. image:: thumbnails/pyclaw_examples_shallow_sphere__plots_frame0000fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/shallow_sphere/_plots/frame0000fig0.html .. image:: thumbnails/pyclaw_examples_shallow_sphere__plots_frame0004fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/shallow_sphere/_plots/frame0004fig0.html .. image:: thumbnails/pyclaw_examples_shallow_sphere__plots_frame0010fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/shallow_sphere/_plots/frame0010fig0.html 2-dimensional Euler equations ============================= Shock-bubble interaction. `Source code `__ ... `Plots <../../_static/pyclaw/examples/euler_2d/_plots/_PlotIndex.html>`__ .. image:: thumbnails/pyclaw_examples_euler_2d__plots_frame0000fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/euler_2d/_plots/frame0000fig0.html .. image:: thumbnails/pyclaw_examples_euler_2d__plots_frame0004fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/euler_2d/_plots/frame0004fig0.html .. image:: thumbnails/pyclaw_examples_euler_2d__plots_frame0010fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/euler_2d/_plots/frame0010fig0.html 2-dimensional KPP equation ========================== Non-convex flux example. `Source code `__ ... `Plots <../../_static/pyclaw/examples/kpp/_plots/_PlotIndex.html>`__ .. image:: thumbnails/pyclaw_examples_kpp__plots_frame0000fig1.png :width: 5cm :target: ../../_static/pyclaw/examples/kpp/_plots/frame0000fig1.html .. image:: thumbnails/pyclaw_examples_kpp__plots_frame0004fig1.png :width: 5cm :target: ../../_static/pyclaw/examples/kpp/_plots/frame0004fig1.html .. image:: thumbnails/pyclaw_examples_kpp__plots_frame0010fig1.png :width: 5cm :target: ../../_static/pyclaw/examples/kpp/_plots/frame0010fig1.html 2-dimensional p-system ====================== Radial wave in a checkerboard-like medium. `Source code `__ ... `Plots <../../_static/pyclaw/examples/psystem_2d/_plots/_PlotIndex.html>`__ .. image:: thumbnails/pyclaw_examples_psystem_2d__plots_frame0000fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/psystem_2d/_plots/frame0000fig0.html .. image:: thumbnails/pyclaw_examples_psystem_2d__plots_frame0004fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/psystem_2d/_plots/frame0004fig0.html .. image:: thumbnails/pyclaw_examples_psystem_2d__plots_frame0010fig0.png :width: 5cm :target: ../../_static/pyclaw/examples/psystem_2d/_plots/frame0010fig0.html