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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
Citation: 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

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  • 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 L 2 norm.
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