Theory

The Muscl-Hancock scheme is a 2nd order numerical method. The higher the order of accuracy, the more convergent is the scheme. Well known is the fact that higher order accurate schemes can produce spurious oscillations near large gradients. In order to side step this problem, schemes that are 'Total Variation Diminishing' (TVD) implicitly add artificial viscosity resulting in smoother flow.

Steps

Algorithm Outline

Results