MacCormack's method is an explicit, second order finite difference scheme that is widely used in the solution of hyperbolic problems. Here, we consider MacCormack's method applied to the linear advection equation with nonlinear source term. Various features of the method are analysed. First, we show that the conventional implementation is not stable for Courant numbers close to one unless a small time-step is used.
|Journal||Computational Fluid Dynamics Journal|
|Publication status||Published - 2000|
- advection-reaction equations
- fluid dynamics