High-Order Multi-Material ALE Hydrodynamics
| Autor: | R W Anderson, Vladimir Tomov, R. Rieben, Tzanio V. Kolev, Veselin Dobrev |
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| Rok vydání: | 2018 |
| Předmět: |
Curvilinear coordinates
State variable Applied Mathematics Relaxation (iterative method) 010103 numerical & computational mathematics Interval (mathematics) 01 natural sciences Finite element method 010101 applied mathematics Computational Mathematics Elliptic curve Discontinuous Galerkin method Applied mathematics Polygon mesh 0101 mathematics Mathematics |
| Zdroj: | SIAM Journal on Scientific Computing. 40:B32-B58 |
| ISSN: | 1095-7197 1064-8275 |
| Popis: | We present a new approach for multi-material arbitrary Lagrangian--Eulerian (ALE) hydrodynamics simulations based on high-order finite elements posed on high-order curvilinear meshes. The method builds on and extends our previous work in the Lagrangian [V. A. Dobrev, T. V. Kolev, and R. N. Rieben, SIAM J. Sci. Comput., 34 (2012), pp. B606--B641] and remap [R. W. Anderson et al., Internat. J. Numer. Methods Fluids, 77 (2015), pp. 249--273] phases of ALE, and depends critically on a functional perspective that enables subzonal physics and material modeling [V. A. Dobrev et al., Internat. J. Numer. Methods Fluids, 82 (2016), pp. 689--706]. Curvilinear mesh relaxation is based on node movement, which is determined through the solution of an elliptic equation. The remap phase is posed in terms of advecting state variables between two meshes over a fictitious time interval. The resulting advection equation is solved by a discontinuous Galerkin (DG) formulation, combined with a customized Flux Corrected Transpor... |
| Databáze: | OpenAIRE |
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