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Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics. (English) Zbl 0587.76126
This paper explores a possible technique for extending to multidimensional flows some of the upwind-differencing methods that have proved highly successful in the one-dimensional case. Attention here is concentrated on the two-dimensional case, and the flow domain is supposed to be divided into polygonal computational elements. Inside each element the flow is represented by a local superposition of elementary solutions consisting of plane waves not necessarily aligned with the element boundaries.

MSC:
76N15 Gas dynamics (general theory)
65N06 Finite difference methods for boundary value problems involving PDEs
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