A new level set model for multimaterial flows

Starinshak, David P.; Karni, Smadar; Roe, Philip L.

doi:10.1016/j.jcp.2013.12.036

A new level set model for multimaterial flows

Journal Article · Wed Jan 08 04:00:00 EST 2014 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2013.12.036· OSTI ID:1224396

Starinshak, David P. ^[1]; Karni, Smadar ^[2]; Roe, Philip L. ^[3]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Mathematics
Univ. of Michigan, Ann Arbor, MI (United States). Dept. of AerospaceEngineering

We present a new level set model for representing multimaterial flows in multiple space dimensions. Instead of associating a level set function with a specific fluid material, the function is associated with a pair of materials and the interface that separates them. A voting algorithm collects sign information from all level sets and determines material designations. M(M ₋1)/2 level set functions might be needed to represent a general M-material configuration; problems of practical interest use far fewer functions, since not all pairs of materials share an interface. The new model is less prone to producing indeterminate material states, i.e. regions claimed by more than one material (overlaps) or no material at all (vacuums). It outperforms existing material-based level set models without the need for reinitialization schemes, thereby avoiding additional computational costs and preventing excessive numerical diffusion.

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

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)

DOE Contract Number:: AC52-07NA27344; FC52-08NA28616

OSTI ID:: 1224396

Report Number(s):: LLNL-JRNL--608956

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: C Vol. 262; ISSN 0021-9991

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

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A new level set model for multimaterial flows

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