# Gallery of all PyClaw applications¶

## 1-dimensional advection¶

Advecting Gaussian with periodic boundary.

## 1-dimensional variable-velocity advection¶

Advecting Gaussian and square wave with periodic boundary.

## 1-dimensional acoustics¶

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

## 1-dimensional Burgers’ equation¶

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

## 1-dimensional shallow water equation¶

Shallow water shock tube.

Flow over a sill.

## 1-dimensional nonlinear elasticity¶

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

## 1-dimensional Euler equations¶

Woodward-Colella blast-wave interaction problem.

Shu-Osher problem.

Shock tube problem.

## 2-dimensional advection¶

Advecting square with periodic boundary conditions.

## 2-dimensional variable-coefficient advection¶

Advection in an annular region.

## 2-dimensional acoustics¶

Expanding radial acoustic wave in a homogeneous medium.

## 2-dimensional variable-coefficient acoustics¶

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

Acoustic wave scattered by two cylinders.

## 2-dimensional advection-reaction¶

## 2-dimensional shallow water equations¶

Radial dam-break.

## 2-dimensional shallow water on the sphere¶

Wavenumber 4 Rossby-Haurwitz wave on a rotating sphere.

## 2-dimensional Euler equations¶

Shock-bubble interaction.

Quadrants: 2D Riemann problem with four shockwaves.

## 2-dimensional KPP equation¶

Non-convex flux example.

## 2-dimensional p-system¶

Radial wave in a checkerboard-like medium.