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.


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