An AMR Capable Finite Element Diffusion Solver for ALE Hydrocodes. (1st February 2015)

• Record Type: Journal Article
• Authors: Fisher, A. C.; Bailey, D. S.; Kaiser, T. B.; Eder, D. C.; Gunney, B. T. N.; Masters, N. D.; Koniges, A. E.; Anderson, R. W.
• Is Part Of: Plasma science and technology. Volume 17:Number 2(2015:Feb.)
• Page Start: 109
• Page End: 116
• Publication Date: 2015-02-01
• Subjects: Plasma (Ionized gases) -- Periodicals; 530.44
• DOI: 10.1088/1009-0630/17/2/04
• Languages: English
• ISSNs: 1009-0630

Abstract

<abstract xml:lang="en"> <title>Abstract</title> <p>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 diffusion 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 <italic>L</italic>₂ norm.</p> </abstract>