Special Numerical Methods for Convection-Dominated Problems

Special Numerical Methods for Convection-Dominated Problems 

The solution of a pure convection equation for a scalar field O  

In order to minimize numerical diffusion, Boris and Book [131] formulated the idea of blending a low-order stable differencing scheme with a higher order, potentially unstable, scheme in such a way that steep concentration gradients are maintained as well as possible. The algorithm they proposed consists of the following steps  

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