Gallery of Classic and AMRClaw applications¶
See also the Gallery of Jupyter notebooks.
1-dimensional Advection¶
Directory: `$CLAW/classic/examples/advection_1d_example1`
Advecting square wave and Gaussian with periodic BCs.
![../_images/classic_examples_advection_1d_example1__plots_frame0000fig1.png](../_images/classic_examples_advection_1d_example1__plots_frame0000fig1.png)
![../_images/classic_examples_advection_1d_example1__plots_frame0004fig1.png](../_images/classic_examples_advection_1d_example1__plots_frame0004fig1.png)
![../_images/classic_examples_advection_1d_example1__plots_frame0020fig1.png](../_images/classic_examples_advection_1d_example1__plots_frame0020fig1.png)
Directory: `$CLAW/amrclaw/examples/advection_1d_example1`
AMR applied to Advecting square wave and Gaussian with periodic BCs.
![../_images/amrclaw_examples_advection_1d_example1__plots_frame0000fig1.png](../_images/amrclaw_examples_advection_1d_example1__plots_frame0000fig1.png)
![../_images/amrclaw_examples_advection_1d_example1__plots_frame0004fig1.png](../_images/amrclaw_examples_advection_1d_example1__plots_frame0004fig1.png)
![../_images/amrclaw_examples_advection_1d_example1__plots_frame0020fig1.png](../_images/amrclaw_examples_advection_1d_example1__plots_frame0020fig1.png)
1-dimensional acoustics¶
Directory: `$CLAW/classic/examples/acoustics_1d_example1`
Acoustics equations with Gaussian initial data.
![../_images/classic_examples_acoustics_1d_example1__plots_frame0000fig1.png](../_images/classic_examples_acoustics_1d_example1__plots_frame0000fig1.png)
![../_images/classic_examples_acoustics_1d_example1__plots_frame0004fig1.png](../_images/classic_examples_acoustics_1d_example1__plots_frame0004fig1.png)
![../_images/classic_examples_acoustics_1d_example1__plots_frame0010fig1.png](../_images/classic_examples_acoustics_1d_example1__plots_frame0010fig1.png)
Directory: `$CLAW/amrclaw/examples/acoustics_1d_homogeneous`
AMR on acoustics equations with Gaussian initial data.
![../_images/amrclaw_examples_acoustics_1d_homogeneous__plots_frame0000fig1.png](../_images/amrclaw_examples_acoustics_1d_homogeneous__plots_frame0000fig1.png)
![../_images/amrclaw_examples_acoustics_1d_homogeneous__plots_frame0004fig1.png](../_images/amrclaw_examples_acoustics_1d_homogeneous__plots_frame0004fig1.png)
![../_images/amrclaw_examples_acoustics_1d_homogeneous__plots_frame0010fig1.png](../_images/amrclaw_examples_acoustics_1d_homogeneous__plots_frame0010fig1.png)
Directory: `$CLAW/classic/examples/acoustics_1d_heterogeneous`
Acoustics equations with interface showing reflection and transmission.
![../_images/classic_examples_acoustics_1d_heterogeneous__plots_frame0000fig0.png](../_images/classic_examples_acoustics_1d_heterogeneous__plots_frame0000fig0.png)
![../_images/classic_examples_acoustics_1d_heterogeneous__plots_frame0007fig0.png](../_images/classic_examples_acoustics_1d_heterogeneous__plots_frame0007fig0.png)
![../_images/classic_examples_acoustics_1d_heterogeneous__plots_frame0010fig0.png](../_images/classic_examples_acoustics_1d_heterogeneous__plots_frame0010fig0.png)
Directory: `$CLAW/amrclaw/examples/acoustics_1d_heterogeneous`
Acoustics equations with interface showing reflection and transmission.
![../_images/amrclaw_examples_acoustics_1d_heterogeneous__plots_frame0000fig1.png](../_images/amrclaw_examples_acoustics_1d_heterogeneous__plots_frame0000fig1.png)
![../_images/amrclaw_examples_acoustics_1d_heterogeneous__plots_frame0007fig1.png](../_images/amrclaw_examples_acoustics_1d_heterogeneous__plots_frame0007fig1.png)
![../_images/amrclaw_examples_acoustics_1d_heterogeneous__plots_frame0010fig1.png](../_images/amrclaw_examples_acoustics_1d_heterogeneous__plots_frame0010fig1.png)
1-dimensional Euler¶
Directory: `$CLAW/classic/examples/euler_1d_wcblast`
Woodward-Colella blast wave problem for Euler equations of gas dynamics.
![../_images/classic_examples_euler_1d_wcblast__plots_frame0000fig1.png](../_images/classic_examples_euler_1d_wcblast__plots_frame0000fig1.png)
![../_images/classic_examples_euler_1d_wcblast__plots_frame0010fig1.png](../_images/classic_examples_euler_1d_wcblast__plots_frame0010fig1.png)
![../_images/classic_examples_euler_1d_wcblast__plots_frame0020fig1.png](../_images/classic_examples_euler_1d_wcblast__plots_frame0020fig1.png)
Directory: `$CLAW/amrclaw/examples/euler_1d_wcblast`
AMR on Woodward-Colella blast wave problem for Euler equations of gas dynamics.
![../_images/amrclaw_examples_euler_1d_wcblast__plots_frame0000fig1.png](../_images/amrclaw_examples_euler_1d_wcblast__plots_frame0000fig1.png)
![../_images/amrclaw_examples_euler_1d_wcblast__plots_frame0005fig1.png](../_images/amrclaw_examples_euler_1d_wcblast__plots_frame0005fig1.png)
![../_images/amrclaw_examples_euler_1d_wcblast__plots_frame0010fig2.png](../_images/amrclaw_examples_euler_1d_wcblast__plots_frame0010fig2.png)
2-dimensional advection¶
Directory: `$CLAW/amrclaw/examples/advection_2d_square`
Advecting square with periodic boundary conditions.
![../_images/amrclaw_examples_advection_2d_square__plots_frame0000fig0.png](../_images/amrclaw_examples_advection_2d_square__plots_frame0000fig0.png)
![../_images/amrclaw_examples_advection_2d_square__plots_frame0001fig0.png](../_images/amrclaw_examples_advection_2d_square__plots_frame0001fig0.png)
![../_images/amrclaw_examples_advection_2d_square__plots_frame0001fig2.png](../_images/amrclaw_examples_advection_2d_square__plots_frame0001fig2.png)
2-dimensional variable-coefficient advection¶
Directory: `$CLAW/amrclaw/examples/advection_2d_swirl`
Advection with a swirling flow field with AMR.
![../_images/amrclaw_examples_advection_2d_swirl__plots_frame0000fig0.png](../_images/amrclaw_examples_advection_2d_swirl__plots_frame0000fig0.png)
![../_images/amrclaw_examples_advection_2d_swirl__plots_frame0004fig0.png](../_images/amrclaw_examples_advection_2d_swirl__plots_frame0004fig0.png)
![../_images/amrclaw_examples_advection_2d_swirl__plots_frame0008fig0.png](../_images/amrclaw_examples_advection_2d_swirl__plots_frame0008fig0.png)
Directory: `$CLAW/classic/examples/advection_2d_annulus`
Advection in an annular region.
![../_images/classic_examples_advection_2d_annulus__plots_frame0000fig0.png](../_images/classic_examples_advection_2d_annulus__plots_frame0000fig0.png)
![../_images/classic_examples_advection_2d_annulus__plots_frame0002fig0.png](../_images/classic_examples_advection_2d_annulus__plots_frame0002fig0.png)
Directory: `$CLAW/amrclaw/examples/advection_2d_annulus`
Advection in an annular region with AMR.
![../_images/amrclaw_examples_advection_2d_annulus__plots_frame0000fig0.png](../_images/amrclaw_examples_advection_2d_annulus__plots_frame0000fig0.png)
![../_images/amrclaw_examples_advection_2d_annulus__plots_frame0002fig0.png](../_images/amrclaw_examples_advection_2d_annulus__plots_frame0002fig0.png)
![../_images/amrclaw_examples_advection_2d_annulus__plots_frame0002fig2.png](../_images/amrclaw_examples_advection_2d_annulus__plots_frame0002fig2.png)
Directory: `$CLAW/amrclaw/examples/advection_2d_inflow`
Advection with inflow boundary conditions.
![../_images/amrclaw_examples_advection_2d_inflow__plots_frame0000fig0.png](../_images/amrclaw_examples_advection_2d_inflow__plots_frame0000fig0.png)
![../_images/amrclaw_examples_advection_2d_inflow__plots_frame0001fig0.png](../_images/amrclaw_examples_advection_2d_inflow__plots_frame0001fig0.png)
![../_images/amrclaw_examples_advection_2d_inflow__plots_frame0002fig0.png](../_images/amrclaw_examples_advection_2d_inflow__plots_frame0002fig0.png)
2-dimensional acoustics¶
Directory: `$CLAW/classic/examples/acoustics_2d_radial`
Expanding radial acoustic wave in a homogeneous medium.
![../_images/classic_examples_acoustics_2d_radial__plots_frame0000fig0.png](../_images/classic_examples_acoustics_2d_radial__plots_frame0000fig0.png)
![../_images/classic_examples_acoustics_2d_radial__plots_frame0002fig0.png](../_images/classic_examples_acoustics_2d_radial__plots_frame0002fig0.png)
![../_images/classic_examples_acoustics_2d_radial__plots_frame0004fig0.png](../_images/classic_examples_acoustics_2d_radial__plots_frame0004fig0.png)
Directory: `$CLAW/amrclaw/examples/acoustics_2d_radial`
Expanding radial acoustic wave in a homogeneous medium with AMR.
![../_images/amrclaw_examples_acoustics_2d_radial__plots_frame0000fig0.png](../_images/amrclaw_examples_acoustics_2d_radial__plots_frame0000fig0.png)
![../_images/amrclaw_examples_acoustics_2d_radial__plots_frame0002fig0.png](../_images/amrclaw_examples_acoustics_2d_radial__plots_frame0002fig0.png)
![../_images/amrclaw_examples_acoustics_2d_radial__plots_frame0004fig0.png](../_images/amrclaw_examples_acoustics_2d_radial__plots_frame0004fig0.png)
2-dimensional Burgers’ equation¶
Directory: `$CLAW/amrclaw/examples/burgers_2d_square`
Burgers’ equation \(q_t + 0.5(q^2)_x + 0.5(q^2)_y = 0\) with square initial pulse and periodic boundary conditions.
![../_images/amrclaw_examples_burgers_2d_square__plots_frame0000fig1.png](../_images/amrclaw_examples_burgers_2d_square__plots_frame0000fig1.png)
![../_images/amrclaw_examples_burgers_2d_square__plots_frame0005fig1.png](../_images/amrclaw_examples_burgers_2d_square__plots_frame0005fig1.png)
![../_images/amrclaw_examples_burgers_2d_square__plots_frame0020fig1.png](../_images/amrclaw_examples_burgers_2d_square__plots_frame0020fig1.png)
2-dimensional Euler equations¶
Directory: `$CLAW/amrclaw/examples/euler_2d_quadrants`
Euler equations with piecewise constant data in quadrants.
![../_images/amrclaw_examples_euler_2d_quadrants__plots_frame0000fig0.png](../_images/amrclaw_examples_euler_2d_quadrants__plots_frame0000fig0.png)
![../_images/amrclaw_examples_euler_2d_quadrants__plots_frame0004fig0.png](../_images/amrclaw_examples_euler_2d_quadrants__plots_frame0004fig0.png)
![../_images/amrclaw_examples_euler_2d_quadrants__plots_frame0004fig1.png](../_images/amrclaw_examples_euler_2d_quadrants__plots_frame0004fig1.png)