Effects of heat conduction on artificial viscosity methods for shock capturing

Cook, Andrew W.

doi:10.1016/j.jcp.2013.08.003

Title: Effects of heat conduction on artificial viscosity methods for shock capturing

Journal Article · Sun Dec 01 00:00:00 EST 2013 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2013.08.003· OSTI ID:1224395

Cook, Andrew W. ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Here we investigate the efficacy of artificial thermal conductivity for shock capturing. The conductivity model is derived from artificial bulk and shear viscosities, such that stagnation enthalpy remains constant across shocks. By thus fixing the Prandtl number, more physical shock profiles are obtained, only on a larger scale. The conductivity model does not contain any empirical constants. It increases the net dissipation of a computational algorithm but is found to better preserve symmetry and produce more robust solutions for strong-shock problems.

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Research Organization:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1224395

Report Number(s):: LLNL-JRNL-608332

Journal Information:: Journal of Computational Physics, Vol. 255, Issue C; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 1 work

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References (14)

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71 CLASSICAL AND QUANTUMM MECHANICS
GENERAL PHYSICS
97 MATHEMATICS AND COMPUTING
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Title: Effects of heat conduction on artificial viscosity methods for shock capturing

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