Interpolation-free space-time remeshing for the Burgers Equation
| Autor: | Andre Garon, Paul Labbe, A. M. Froncioni, R. Camarero |
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| Rok vydání: | 1997 |
| Předmět: |
Applied Mathematics
Space time MathematicsofComputing_NUMERICALANALYSIS General Engineering Finite element method Displacement (vector) Burgers' equation Computational Theory and Mathematics Flow (mathematics) Mesh generation Modeling and Simulation Polygon mesh Algorithm Software Mathematics Interpolation |
| Zdroj: | Communications in Numerical Methods in Engineering. 13:875-884 |
| ISSN: | 1069-8299 |
| DOI: | 10.1002/(sici)1099-0887(199711)13:11<875::aid-cnm111>3.0.co;2-h |
| Popis: | We present a mesh management strategy for use with discontinuous-Galerkin space-time finite element formulations of flow problems. We propose a refinement technique for simplex-type meshes which requires no interpolation between grids at slab interfaces. The strategy uses an a posteriori spatial error estimator to tag refinement or coarsening. Orientation of element edges along flow characteristics is accomplished by nodal displacement, and by a new diagonal-swapping technique to correct for the effects of misalignment due to h-refinement. The swapping procedure realigns the mesh to improve the effectiveness of the h-adaptive process. Results are presented for the Burgers Equation using large time steps on a problem which exhibits merging and steepening fronts |
| Databáze: | OpenAIRE |
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