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Title: A new level set model for multimaterial flows

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.
 [1] ;  [2] ;  [3]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Mathematics
  3. Univ. of Michigan, Ann Arbor, MI (United States). Dept. of AerospaceEngineering
Publication Date:
OSTI Identifier:
Report Number(s):
Journal ID: ISSN 0021-9991
DOE Contract Number:
AC52-07NA27344; FC52-08NA28616; DMS0609766
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 262; Journal Issue: C
Research Org:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
Country of Publication:
United States
97 MATHEMATICS AND COMPUTING; 36 MATERIALS SCIENCE Level set; Multimaterial; Fluid dynamics