Multidimensional Upwinding: Unfolding the Mystery

Some important advances took place during the last several years in the development of genuinely multidimensional upwind schemes for the compressible Euler equations. In particular, a robust, high-resolution genuinely multidimensional scheme which can be used for any of the flow regimes computations was constructed (see (Sidilkover, 1994b; Sidilkover, 1994a; Sidilkover, 1995)). This paper summarizes briefly these developments and outlines the fundamental advantages of this approach.

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