A new level set model for multimaterial flows

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

doi:10.1016/j.jcp.2013.12.036

Title: A new level set model for multimaterial flows

Journal Article · Wed Jan 08 00:00:00 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.

View Journal Article

Cite

Export

Save

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

References (20)

How to Prevent Pressure Oscillations in Multicomponent Flow Calculations: A Quasi Conservative Approach Abgrall, Rémi Journal of Computational Physics, Vol. 125, Issue 1 https://doi.org/10.1006/jcph.1996.0085	journal	April 1996
Computations of Compressible Multifluids Abgrall, Rémi; Karni, Smadar Journal of Computational Physics, Vol. 169, Issue 2 https://doi.org/10.1006/jcph.2000.6685	journal	May 2001
A variational formulation for a level set representation of multiphase flow and area preserving curvature flow Esodoglu, Selim; Smereka, Peter Communications in Mathematical Sciences, Vol. 6, Issue 1 https://doi.org/10.4310/CMS.2008.v6.n1.a6	journal	January 2008
A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method) Fedkiw, Ronald P.; Aslam, Tariq; Merriman, Barry Journal of Computational Physics, Vol. 152, Issue 2 https://doi.org/10.1006/jcph.1999.6236	journal	July 1999
Multicomponent Flow Calculations by a Consistent Primitive Algorithm Karni, Smadar Journal of Computational Physics, Vol. 112, Issue 1 https://doi.org/10.1006/jcph.1994.1080	journal	May 1994
Multi-phase fluid simulations using regional level sets Kim, Byungmoon ACM Transactions on Graphics, Vol. 29, Issue 6 https://doi.org/10.1145/1882261.1866197	journal	December 2010
Simulation of bubbles in foam with the volume control method Kim, Byungmoon; Liu, Yingjie; Llamas, Ignacio ACM Transactions on Graphics, Vol. 26, Issue 3 https://doi.org/10.1145/1276377.1276500	journal	July 2007
Multiple interacting liquids Losasso, Frank; Shinar, Tamar; Selle, Andrew ACM Transactions on Graphics, Vol. 25, Issue 3 https://doi.org/10.1145/1141911.1141960	journal	July 2006
Motion of Multiple Junctions: A Level Set Approach Merriman, Barry; Bence, James K.; Osher, Stanley J. Journal of Computational Physics, Vol. 112, Issue 2 https://doi.org/10.1006/jcph.1994.1105	journal	June 1994
High-fidelity interface tracking in compressible flows: Unlimited anchored adaptive level set Nourgaliev, R. R.; Theofanous, T. G. Journal of Computational Physics, Vol. 224, Issue 2 https://doi.org/10.1016/j.jcp.2006.10.031	journal	June 2007
A conservative level set method for two phase flow Olsson, Elin; Kreiss, Gunilla Journal of Computational Physics, Vol. 210, Issue 1 https://doi.org/10.1016/j.jcp.2005.04.007	journal	November 2005
A projection method for motion of triple junctions by level sets Smith, Kurt; Solis, Francisco; Chopp, David Interfaces and Free Boundaries https://doi.org/10.4171/IFB/61	journal	January 2002
An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow Sussman, Mark; Fatemi, Emad SIAM Journal on Scientific Computing, Vol. 20, Issue 4 https://doi.org/10.1137/S1064827596298245	journal	January 1999
A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows Sussman, Mark; Puckett, Elbridge Gerry Journal of Computational Physics, Vol. 162, Issue 2 https://doi.org/10.1006/jcph.2000.6537	journal	August 2000
A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow Sussman, Mark; Smereka, Peter; Osher, Stanley Journal of Computational Physics, Vol. 114, Issue 1 https://doi.org/10.1006/jcph.1994.1155	journal	September 1994
Crash: a Block-Adaptive-Mesh code for Radiative Shock Hydrodynamics—Implementation and Verification van der Holst, B.; Tóth, G.; Sokolov, I. V. The Astrophysical Journal Supplement Series, Vol. 194, Issue 2 https://doi.org/10.1088/0067-0049/194/2/23	journal	May 2011
Towards the ultimate conservative difference scheme III. Upstream-centered finite-difference schemes for ideal compressible flow Van Leer, Bram Journal of Computational Physics, Vol. 23, Issue 3 https://doi.org/10.1016/0021-9991(77)90094-8	journal	March 1977
A variational approach to multi-phase motion of gas, liquid and solid based on the level set method Yokoi, Kensuke Computer Physics Communications, Vol. 180, Issue 7 https://doi.org/10.1016/j.cpc.2009.01.022	journal	July 2009
A Variational Level Set Approach to Multiphase Motion Zhao, Hong-Kai; Chan, T.; Merriman, B. Journal of Computational Physics, Vol. 127, Issue 1 https://doi.org/10.1006/jcph.1996.0167	journal	August 1996
Simulation of bubbles Zheng, Wen; Yong, Jun-Hai; Paul, Jean-Claude Graphical Models, Vol. 71, Issue 6 https://doi.org/10.1016/j.gmod.2009.08.001	journal	November 2009

Similar Records

Constrained optimization framework for interface-aware sub-scale dynamics discrete closure model for multimaterial cells in Lagrangian cell-centered hydrodynamics

Journal Article · Fri Jun 22 00:00:00 EDT 2018 · Computers and Mathematics with Applications (Oxford) · OSTI ID:1224396

Barlow, Andrew; Morgan, Nathaniel; Shashkov, Mikhail

Statistical theory of turbulent incompressible multimaterial flow

Technical Report · Thu Oct 01 00:00:00 EDT 1987 · OSTI ID:1224396

Kashiwa, B

A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)

Journal Article · Thu Jul 01 00:00:00 EDT 1999 · Journal of Computational Physics · OSTI ID:1224396

Fedkiw, R P; Merriman, B; Osher, S; +1 more

Related Subjects

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

Title: A new level set model for multimaterial flows

Citation Formats

References (20)

Similar Records

Related Subjects