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Simplex space‐time meshes in compressible flow simulations
Author(s) -
Danwitz Max,
Karyofylli Violeta,
Hosters Norbert,
Behr Marek
Publication year - 2019
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4743
Subject(s) - polygon mesh , simplex , volume mesh , compressible flow , discretization , computer science , flow (mathematics) , computation , computational science , mesh generation , topology (electrical circuits) , geometry , finite element method , compressibility , mathematical optimization , mathematics , algorithm , mathematical analysis , physics , mechanics , combinatorics , thermodynamics
Summary 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 adapt a finite element formulation for compressible flows to simplex space‐time meshes. The method obtained allows, for example, flow simulation 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 four‐dimensional space‐time meshes.