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- W2019464246 abstract "We propose an investigation of the residual distribution schemes for the numerical approximation of two-dimensional hyperbolic systems of conservation laws on general quadrilateral meshes. In comparison to the use of triangular cells, usual basic features are recovered, an extension of the upwinding concept is given, and a Lax–Wendroff type theorem is adapted for consistency. We show how to retrieve many variants of standard first and second-order accurate schemes. They are proven to satisfy this theorem. An important part of this paper is devoted to the validation of these schemes by various numerical tests for scalar equations and the Euler equations system for compressible fluid dynamics on non Cartesian grids. In particular, second-order accuracy is reached by an adaptation of the Linearity preserving property to quadrangle meshes. We discuss several choices as well as the convergence of iterative method to steady state. We also provide examples of schemes that are not constructed from an upwinding principle" @default.
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- W2019464246 date "2006-02-09" @default.
- W2019464246 modified "2023-10-13" @default.
- W2019464246 title "Residual Distribution Schemes on Quadrilateral Meshes" @default.
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- W2019464246 doi "https://doi.org/10.1007/s10915-005-9023-2" @default.
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