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A new level set model for multimaterial flows

Journal Article · · Journal of Computational Physics
 [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
+ Show Author Affiliations

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.

Research Organization:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
DOE Contract Number:
AC52-07NA27344; FC52-08NA28616; DMS0609766
OSTI ID:
1224396
Report Number(s):
LLNL-JRNL-608956
Journal Information:
Journal of Computational Physics, Vol. 262, Issue C; ISSN 0021-9991
Publisher:
Elsevier
Country of Publication:
United States
Language:
English

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Related Subjects

97 MATHEMATICS AND COMPUTING
36 MATERIALS SCIENCE
Level set
Multimaterial
Fluid dynamics