Wave1D

Experiments with 1 dimensional waves. I am using this project to learn to use git, and GitHub.

The system is initialized with a square wave. The UI provides several choices of problems, and discretization schemes. The wave speed is also a user controlled parameter. FLTK and OpenGL are used for the UI.

Wave Equations

The program solves the 1D hyperbolic partial differential equation:

It also solves the wave advection equation:

Discretization Schemes

The following numerical discretization schemes are used to solve the equations.

Wave Equation:

1. Explicit time, centered space (unstable).
2. Lax scheme

Advection equation:

1. Explicit time, centered space (unstable).
2. Lax scheme
3. Upwind differencing
4. BFECC
5. Modified BFECC
6. MacCormack
7. Flux limited MacCormack