Simplex space‐time meshes in compressible flow simulations
| Autor: | Norbert Hosters, Marek Behr, Max von Danwitz, Violeta Karyofylli |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Simplex
Discretization Computer science Applied Mathematics Mechanical Engineering Space time Computational Mechanics 01 natural sciences Compressible flow Finite element method 010305 fluids & plasmas Computer Science Applications Computational science 010101 applied mathematics Flow (mathematics) Mechanics of Materials 0103 physical sciences Point (geometry) Polygon mesh 0101 mathematics |
| Zdroj: | International Journal for Numerical Methods in Fluids. 91:29-48 |
| ISSN: | 1097-0363 0271-2091 |
| DOI: | 10.1002/fld.4743 |
| Popis: | Employing simplex space-time meshes enlarges the scope of compressible flow simulations. The simultaneous discretization of space and time with simplex elements extends the flexibility of unstructured meshes from space to time. In this work, we adopt a finite element formulation for compressible flows to simplex space-time meshes. The method obtained allows, e.g., flow simulations on spatial domains that change topology with time. We demonstrate this with the two-dimensional simulation of compressible flow in a valve that fully closes and opens again. Furthermore, simplex space-time meshes facilitate local temporal refinement. A three-dimensional transient simulation of blow-by past piston rings is run in parallel on 120 cores. The timings point out savings of computation time gained from local temporal refinement in space-time meshes. |
| Databáze: | OpenAIRE |
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