The Numerical Advection Applet allows the user to experiment with various classical and modern schemes used to obtain numerical solutions of Partial Differential Equations. The schemes are applied to the Advection Equation with various initial conditions and with periodic boundary conditions in one and two space dimensions. In one space dimension the Advection Equation takes the form
survey article, A Survey of Numerical Advection, which will
describe the numerical methods and guide the user through
the examples in the applet is planned.
Numerical Methods: First Order Upwind, Lax-Friedricks, Lax-Wendroff, Beam-Warming, MacCormack, Fromm, Crank-Nicolson, Leapfrog, Upwind Leapfrog, Time Extended Upwind Leapfrog, Universal Limiting methods, Nessauha-Tadmor, Godunov Methods with Minmod Limiter, MC Limiter, and Superbee Limiter; Method of Lines, Fourier Psuedospectral, Chebyshev Pseudospectral, and Multiquadric Radial Basis Functions, Cubic Splines.