.. _gallery_classic_amrclaw: =========================================== Gallery of Classic and AMRClaw applications =========================================== See also the `Gallery of Jupyter notebooks `__. .. contents:: 1-dimensional Advection ======================= **Directory: `$CLAW/classic/examples/advection_1d_example1`** Advecting square wave and Gaussian with periodic BCs. `README <./../_static/classic/examples/advection_1d_example1/README.html>`__ ... `Plots <./../_static/classic/examples/advection_1d_example1/_plots/_PlotIndex.html>`__ .. image:: thumbnails/classic_examples_advection_1d_example1__plots_frame0000fig1.png :height: 4cm :target: ./../_static/classic/examples/advection_1d_example1/_plots/frame0000fig1.html .. image:: thumbnails/classic_examples_advection_1d_example1__plots_frame0004fig1.png :height: 4cm :target: ./../_static/classic/examples/advection_1d_example1/_plots/frame0004fig1.html .. image:: thumbnails/classic_examples_advection_1d_example1__plots_frame0020fig1.png :height: 4cm :target: ./../_static/classic/examples/advection_1d_example1/_plots/frame0020fig1.html **Directory: `$CLAW/amrclaw/examples/advection_1d_example1`** AMR applied to Advecting square wave and Gaussian with periodic BCs. `README <./../_static/amrclaw/examples/advection_1d_example1/README.html>`__ ... `Plots <./../_static/amrclaw/examples/advection_1d_example1/_plots/_PlotIndex.html>`__ .. image:: thumbnails/amrclaw_examples_advection_1d_example1__plots_frame0000fig1.png :height: 4cm :target: ./../_static/amrclaw/examples/advection_1d_example1/_plots/frame0000fig1.html .. image:: thumbnails/amrclaw_examples_advection_1d_example1__plots_frame0004fig1.png :height: 4cm :target: ./../_static/amrclaw/examples/advection_1d_example1/_plots/frame0004fig1.html .. image:: thumbnails/amrclaw_examples_advection_1d_example1__plots_frame0020fig1.png :height: 4cm :target: ./../_static/amrclaw/examples/advection_1d_example1/_plots/frame0020fig1.html 1-dimensional acoustics ======================= **Directory: `$CLAW/classic/examples/acoustics_1d_example1`** Acoustics equations with Gaussian initial data. `README <./../_static/classic/examples/acoustics_1d_example1/README.html>`__ ... `Plots <./../_static/classic/examples/acoustics_1d_example1/_plots/_PlotIndex.html>`__ .. image:: thumbnails/classic_examples_acoustics_1d_example1__plots_frame0000fig1.png :height: 4cm :target: ./../_static/classic/examples/acoustics_1d_example1/_plots/frame0000fig1.html .. image:: thumbnails/classic_examples_acoustics_1d_example1__plots_frame0004fig1.png :height: 4cm :target: ./../_static/classic/examples/acoustics_1d_example1/_plots/frame0004fig1.html .. image:: thumbnails/classic_examples_acoustics_1d_example1__plots_frame0010fig1.png :height: 4cm :target: ./../_static/classic/examples/acoustics_1d_example1/_plots/frame0010fig1.html **Directory: `$CLAW/amrclaw/examples/acoustics_1d_homogeneous`** AMR on acoustics equations with Gaussian initial data. `README <./../_static/amrclaw/examples/acoustics_1d_homogeneous/README.html>`__ ... `Plots <./../_static/amrclaw/examples/acoustics_1d_homogeneous/_plots/_PlotIndex.html>`__ .. image:: thumbnails/amrclaw_examples_acoustics_1d_homogeneous__plots_frame0000fig1.png :height: 4cm :target: ./../_static/amrclaw/examples/acoustics_1d_homogeneous/_plots/frame0000fig1.html .. image:: thumbnails/amrclaw_examples_acoustics_1d_homogeneous__plots_frame0004fig1.png :height: 4cm :target: ./../_static/amrclaw/examples/acoustics_1d_homogeneous/_plots/frame0004fig1.html .. image:: thumbnails/amrclaw_examples_acoustics_1d_homogeneous__plots_frame0010fig1.png :height: 4cm :target: ./../_static/amrclaw/examples/acoustics_1d_homogeneous/_plots/frame0010fig1.html **Directory: `$CLAW/classic/examples/acoustics_1d_heterogeneous`** Acoustics equations with interface showing reflection and transmission. `README <./../_static/classic/examples/acoustics_1d_heterogeneous/README.html>`__ ... `Plots <./../_static/classic/examples/acoustics_1d_heterogeneous/_plots/_PlotIndex.html>`__ .. image:: thumbnails/classic_examples_acoustics_1d_heterogeneous__plots_frame0000fig0.png :height: 4cm :target: ./../_static/classic/examples/acoustics_1d_heterogeneous/_plots/frame0000fig0.html .. image:: thumbnails/classic_examples_acoustics_1d_heterogeneous__plots_frame0007fig0.png :height: 4cm :target: ./../_static/classic/examples/acoustics_1d_heterogeneous/_plots/frame0007fig0.html .. image:: thumbnails/classic_examples_acoustics_1d_heterogeneous__plots_frame0010fig0.png :height: 4cm :target: ./../_static/classic/examples/acoustics_1d_heterogeneous/_plots/frame0010fig0.html **Directory: `$CLAW/amrclaw/examples/acoustics_1d_heterogeneous`** Acoustics equations with interface showing reflection and transmission. `README <./../_static/amrclaw/examples/acoustics_1d_heterogeneous/README.html>`__ ... `Plots <./../_static/amrclaw/examples/acoustics_1d_heterogeneous/_plots/_PlotIndex.html>`__ .. image:: thumbnails/amrclaw_examples_acoustics_1d_heterogeneous__plots_frame0000fig1.png :height: 4cm :target: ./../_static/amrclaw/examples/acoustics_1d_heterogeneous/_plots/frame0000fig1.html .. image:: thumbnails/amrclaw_examples_acoustics_1d_heterogeneous__plots_frame0007fig1.png :height: 4cm :target: ./../_static/amrclaw/examples/acoustics_1d_heterogeneous/_plots/frame0007fig1.html .. image:: thumbnails/amrclaw_examples_acoustics_1d_heterogeneous__plots_frame0010fig1.png :height: 4cm :target: ./../_static/amrclaw/examples/acoustics_1d_heterogeneous/_plots/frame0010fig1.html 1-dimensional Euler =================== **Directory: `$CLAW/classic/examples/euler_1d_wcblast`** Woodward-Colella blast wave problem for Euler equations of gas dynamics. `README <./../_static/classic/examples/euler_1d_wcblast/README.html>`__ ... `Plots <./../_static/classic/examples/euler_1d_wcblast/_plots/_PlotIndex.html>`__ .. image:: thumbnails/classic_examples_euler_1d_wcblast__plots_frame0000fig1.png :height: 4cm :target: ./../_static/classic/examples/euler_1d_wcblast/_plots/frame0000fig1.html .. image:: thumbnails/classic_examples_euler_1d_wcblast__plots_frame0010fig1.png :height: 4cm :target: ./../_static/classic/examples/euler_1d_wcblast/_plots/frame0010fig1.html .. image:: thumbnails/classic_examples_euler_1d_wcblast__plots_frame0020fig1.png :height: 4cm :target: ./../_static/classic/examples/euler_1d_wcblast/_plots/frame0020fig1.html **Directory: `$CLAW/amrclaw/examples/euler_1d_wcblast`** AMR on Woodward-Colella blast wave problem for Euler equations of gas dynamics. `README <./../_static/amrclaw/examples/euler_1d_wcblast/README.html>`__ ... `Plots <./../_static/amrclaw/examples/euler_1d_wcblast/_plots/_PlotIndex.html>`__ .. image:: thumbnails/amrclaw_examples_euler_1d_wcblast__plots_frame0000fig1.png :height: 4cm :target: ./../_static/amrclaw/examples/euler_1d_wcblast/_plots/frame0000fig1.html .. image:: thumbnails/amrclaw_examples_euler_1d_wcblast__plots_frame0005fig1.png :height: 4cm :target: ./../_static/amrclaw/examples/euler_1d_wcblast/_plots/frame0005fig1.html .. image:: thumbnails/amrclaw_examples_euler_1d_wcblast__plots_frame0010fig2.png :height: 4cm :target: ./../_static/amrclaw/examples/euler_1d_wcblast/_plots/frame0010fig2.html 2-dimensional advection ======================= **Directory: `$CLAW/amrclaw/examples/advection_2d_square`** Advecting square with periodic boundary conditions. `README <./../_static/amrclaw/examples/advection_2d_square/README.html>`__ ... `Plots <./../_static/amrclaw/examples/advection_2d_square/_plots/_PlotIndex.html>`__ .. image:: thumbnails/amrclaw_examples_advection_2d_square__plots_frame0000fig0.png :height: 4cm :target: ./../_static/amrclaw/examples/advection_2d_square/_plots/frame0000fig0.html .. image:: thumbnails/amrclaw_examples_advection_2d_square__plots_frame0001fig0.png :height: 4cm :target: ./../_static/amrclaw/examples/advection_2d_square/_plots/frame0001fig0.html .. image:: thumbnails/amrclaw_examples_advection_2d_square__plots_frame0001fig2.png :height: 4cm :target: ./../_static/amrclaw/examples/advection_2d_square/_plots/frame0001fig2.html 2-dimensional variable-coefficient advection ============================================ **Directory: `$CLAW/amrclaw/examples/advection_2d_swirl`** Advection with a swirling flow field with AMR. `README <./../_static/amrclaw/examples/advection_2d_swirl/README.html>`__ ... `Plots <./../_static/amrclaw/examples/advection_2d_swirl/_plots/_PlotIndex.html>`__ .. image:: thumbnails/amrclaw_examples_advection_2d_swirl__plots_frame0000fig0.png :height: 4cm :target: ./../_static/amrclaw/examples/advection_2d_swirl/_plots/frame0000fig0.html .. image:: thumbnails/amrclaw_examples_advection_2d_swirl__plots_frame0004fig0.png :height: 4cm :target: ./../_static/amrclaw/examples/advection_2d_swirl/_plots/frame0004fig0.html .. image:: thumbnails/amrclaw_examples_advection_2d_swirl__plots_frame0008fig0.png :height: 4cm :target: ./../_static/amrclaw/examples/advection_2d_swirl/_plots/frame0008fig0.html **Directory: `$CLAW/classic/examples/advection_2d_annulus`** Advection in an annular region. `README <./../_static/classic/examples/advection_2d_annulus/README.html>`__ ... `Plots <./../_static/classic/examples/advection_2d_annulus/_plots/_PlotIndex.html>`__ .. image:: thumbnails/classic_examples_advection_2d_annulus__plots_frame0000fig0.png :height: 4cm :target: ./../_static/classic/examples/advection_2d_annulus/_plots/frame0000fig0.html .. image:: thumbnails/classic_examples_advection_2d_annulus__plots_frame0002fig0.png :height: 4cm :target: ./../_static/classic/examples/advection_2d_annulus/_plots/frame0002fig0.html **Directory: `$CLAW/amrclaw/examples/advection_2d_annulus`** Advection in an annular region with AMR. `README <./../_static/amrclaw/examples/advection_2d_annulus/README.html>`__ ... `Plots <./../_static/amrclaw/examples/advection_2d_annulus/_plots/_PlotIndex.html>`__ .. image:: thumbnails/amrclaw_examples_advection_2d_annulus__plots_frame0000fig0.png :height: 4cm :target: ./../_static/amrclaw/examples/advection_2d_annulus/_plots/frame0000fig0.html .. image:: thumbnails/amrclaw_examples_advection_2d_annulus__plots_frame0002fig0.png :height: 4cm :target: ./../_static/amrclaw/examples/advection_2d_annulus/_plots/frame0002fig0.html .. image:: thumbnails/amrclaw_examples_advection_2d_annulus__plots_frame0002fig2.png :height: 4cm :target: ./../_static/amrclaw/examples/advection_2d_annulus/_plots/frame0002fig2.html **Directory: `$CLAW/amrclaw/examples/advection_2d_inflow`** Advection with inflow boundary conditions. `README <./../_static/amrclaw/examples/advection_2d_inflow/README.html>`__ ... `Plots <./../_static/amrclaw/examples/advection_2d_inflow/_plots/_PlotIndex.html>`__ .. image:: thumbnails/amrclaw_examples_advection_2d_inflow__plots_frame0000fig0.png :height: 4cm :target: ./../_static/amrclaw/examples/advection_2d_inflow/_plots/frame0000fig0.html .. image:: thumbnails/amrclaw_examples_advection_2d_inflow__plots_frame0001fig0.png :height: 4cm :target: ./../_static/amrclaw/examples/advection_2d_inflow/_plots/frame0001fig0.html .. image:: thumbnails/amrclaw_examples_advection_2d_inflow__plots_frame0002fig0.png :height: 4cm :target: ./../_static/amrclaw/examples/advection_2d_inflow/_plots/frame0002fig0.html 2-dimensional acoustics ======================= **Directory: `$CLAW/classic/examples/acoustics_2d_radial`** Expanding radial acoustic wave in a homogeneous medium. `README <./../_static/classic/examples/acoustics_2d_radial/README.html>`__ ... `Plots <./../_static/classic/examples/acoustics_2d_radial/_plots/_PlotIndex.html>`__ .. image:: thumbnails/classic_examples_acoustics_2d_radial__plots_frame0000fig0.png :height: 4cm :target: ./../_static/classic/examples/acoustics_2d_radial/_plots/frame0000fig0.html .. image:: thumbnails/classic_examples_acoustics_2d_radial__plots_frame0002fig0.png :height: 4cm :target: ./../_static/classic/examples/acoustics_2d_radial/_plots/frame0002fig0.html .. image:: thumbnails/classic_examples_acoustics_2d_radial__plots_frame0004fig0.png :height: 4cm :target: ./../_static/classic/examples/acoustics_2d_radial/_plots/frame0004fig0.html **Directory: `$CLAW/amrclaw/examples/acoustics_2d_radial`** Expanding radial acoustic wave in a homogeneous medium with AMR. `README <./../_static/amrclaw/examples/acoustics_2d_radial/README.html>`__ ... `Plots <./../_static/amrclaw/examples/acoustics_2d_radial/_plots/_PlotIndex.html>`__ .. image:: thumbnails/amrclaw_examples_acoustics_2d_radial__plots_frame0000fig0.png :height: 4cm :target: ./../_static/amrclaw/examples/acoustics_2d_radial/_plots/frame0000fig0.html .. image:: thumbnails/amrclaw_examples_acoustics_2d_radial__plots_frame0002fig0.png :height: 4cm :target: ./../_static/amrclaw/examples/acoustics_2d_radial/_plots/frame0002fig0.html .. image:: thumbnails/amrclaw_examples_acoustics_2d_radial__plots_frame0004fig0.png :height: 4cm :target: ./../_static/amrclaw/examples/acoustics_2d_radial/_plots/frame0004fig0.html 2-dimensional Burgers' equation =============================== **Directory: `$CLAW/amrclaw/examples/burgers_2d_square`** Burgers' equation :math:`q_t + 0.5(q^2)_x + 0.5(q^2)_y = 0` with square initial pulse and periodic boundary conditions. `README <./../_static/amrclaw/examples/burgers_2d_square/README.html>`__ ... `Plots <./../_static/amrclaw/examples/burgers_2d_square/_plots/_PlotIndex.html>`__ .. image:: thumbnails/amrclaw_examples_burgers_2d_square__plots_frame0000fig1.png :height: 4cm :target: ./../_static/amrclaw/examples/burgers_2d_square/_plots/frame0000fig1.html .. image:: thumbnails/amrclaw_examples_burgers_2d_square__plots_frame0005fig1.png :height: 4cm :target: ./../_static/amrclaw/examples/burgers_2d_square/_plots/frame0005fig1.html .. image:: thumbnails/amrclaw_examples_burgers_2d_square__plots_frame0020fig1.png :height: 4cm :target: ./../_static/amrclaw/examples/burgers_2d_square/_plots/frame0020fig1.html 2-dimensional Euler equations ============================= **Directory: `$CLAW/amrclaw/examples/euler_2d_quadrants`** Euler equations with piecewise constant data in quadrants. `README <./../_static/amrclaw/examples/euler_2d_quadrants/README.html>`__ ... `Plots <./../_static/amrclaw/examples/euler_2d_quadrants/_plots/_PlotIndex.html>`__ .. image:: thumbnails/amrclaw_examples_euler_2d_quadrants__plots_frame0000fig0.png :height: 4cm :target: ./../_static/amrclaw/examples/euler_2d_quadrants/_plots/frame0000fig0.html .. image:: thumbnails/amrclaw_examples_euler_2d_quadrants__plots_frame0004fig0.png :height: 4cm :target: ./../_static/amrclaw/examples/euler_2d_quadrants/_plots/frame0004fig0.html .. image:: thumbnails/amrclaw_examples_euler_2d_quadrants__plots_frame0004fig1.png :height: 4cm :target: ./../_static/amrclaw/examples/euler_2d_quadrants/_plots/frame0004fig1.html