An AMR Capable Finite Element Diffusion Solver for ALE Hydrocodes

A. C. FISHER; D. S. BAILEY; T. B. KAISER; D. C. EDER; B. T. N. GUNNEY; N. D. MASTERS; A. E. KONIGES; R. W. ANDERSON

doi:10.1088/1009-0630/17/2/04

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Plasma Science and Technology > 2015 > 17(2): 109-116. > DOI: 10.1088/1009-0630/17/2/04

A. C. FISHER, D. S. BAILEY, T. B. KAISER, D. C. EDER, B. T. N. GUNNEY, N. D. MASTERS, A. E. KONIGES, R. W. ANDERSON. An AMR Capable Finite Element Diffusion Solver for ALE Hydrocodes[J]. Plasma Science and Technology, 2015, 17(2): 109-116. DOI: 10.1088/1009-0630/17/2/04

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An AMR Capable Finite Element Diffusion Solver for ALE Hydrocodes

1 Lawrence Livermore National Laboratory, P. O. Box 808, Livermore, CA 94551, USA 2 Lawrence Berkeley National Laboratory, 1 Cyclotron Rd. Berkeley, CA 94720, USA

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Received Date: June 12, 2014

Graphical Abstract

Abstract

Abstract

We present a novel method for the solution of the diffusion equation on a composite AMR mesh. This approach is suitable for including diffusion based physics modules to hydrocodes that support ALE and AMR capabilities. To illustrate, we proffer our implementations of diffu- sion based radiation transport and heat conduction in a hydrocode called ALE-AMR. Numerical experiments conducted with the diffusion solver and associated physics packages yield 2nd order convergence in the L₂ norm.
- hydrodynamic simulation,
- heat conduction,
- thermal radiation,
- adaptive mesh refinement,
- finite element method