The design and application of upwind schemes on unstructured meshes
Timothy J. Barth, Dennis C. Jespersen
Abstract
Timothy J. Barth, Dennis C. Jespersen
Abstract
Solution and mesh generation algorithms for solving the Euler equations on unstructured meshes consisting of triangle and quadrilateral control volumes are presented. Cell-centered and mesh-vertex upwind finite-volume schemes are developed which utilize multi-dimensional monotone linear reconstruction procedures. These algorithms differ from existing algorithms (even on structured meshes). Numerical results in two dimensions are presented.
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Solution and mesh generation algorithms for solving the Euler equations on unstructured meshes consisting of triangle and quadrilateral control volumes are presented. Cell-centered and mesh-vertex upwind finite-volume schemes are developed which utilize multi-dimensional monotone linear reconstruction procedures. These algorithms differ from existing algorithms (even on structured meshes). Numerical results in two dimensions are presented.
Key concepts: Polygon mesh, Computer science, Upwind scheme, Unstructured grid, Parallel computing, Computational science, Computer graphics (images), Computational fluid dynamics