# Gallery of all PyClaw applications¶

Contents

- Gallery of all PyClaw applications
- 1-dimensional advection
- 1-dimensional variable-velocity advection
- 1-dimensional acoustics
- 1-dimensional Burgers’ equation
- 1-dimensional shallow water equation
- 1-dimensional nonlinear elasticity
- 1-dimensional Euler equations
- 2-dimensional advection
- 2-dimensional variable-coefficient advection
- 2-dimensional acoustics
- 2-dimensional variable-coefficient acoustics
- 2-dimensional advection-reaction
- 2-dimensional shallow water equations
- 2-dimensional shallow water on the sphere
- 2-dimensional Euler equations
- 2-dimensional KPP equation
- 2-dimensional p-system

## 1-dimensional variable-velocity advection¶

Advecting Gaussian and square wave with periodic boundary.

Source code ... Plots

## 1-dimensional acoustics¶

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

Source code ... Plots

## 1-dimensional Burgers’ equation¶

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

Source code ... Plots

## 1-dimensional shallow water equation¶

Shallow water shock tube.

Source code ... Plots

Flow over a sill.

Source code ... Plots

## 1-dimensional nonlinear elasticity¶

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

Source code ... Plots

## 1-dimensional Euler equations¶

Woodward-Colella blast-wave interaction problem.

Source code ... Plots

Shu-Osher problem.

Source code ... Plots

Shock tube problem.

Source code ... Plots

## 2-dimensional acoustics¶

Expanding radial acoustic wave in a homogeneous medium.

Source code ... Plots

## 2-dimensional variable-coefficient acoustics¶

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

Source code ... Plots

Acoustic wave scattered by two cylinders.

Source code ... Plots

## 2-dimensional shallow water on the sphere¶

Wavenumber 4 Rossby-Haurwitz wave on a rotating sphere.

Source code ... Plots

## 2-dimensional Euler equations¶

Shock-bubble interaction.

Source code ... Plots

Quadrants: 2D Riemann problem with four shockwaves.

Source code ... Plots