A conservative interface-interaction method for compressible multi-material flows

Shucheng Pan, Luhui Han, Xiangyu Hu, Nikolaus A. Adams

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


In this paper we develop a conservative interface-interaction method dedicated to simulating multiple compressible fluids with sharp interfaces. Numerical models for finite-volume cells cut by more than two material-interface are proposed. First, we simplify the interface interaction inside such a cell to avoid the need for explicit interface reconstruction and very complex flux calculation. Second, conservation is strictly preserved by an efficient conservation correction procedure for the cut cell. To improve robustness, a multi-material scale separation model is developed to remove consistently non-resolved interface scales. In addition, a multi-resolution method and a local time-stepping scheme are incorporated into the proposed multi-material method to speed up high-resolution simulations. Various numerical test cases, including the multi-material shock tube problem, inertial confinement fusion implosion, triple-point shock interaction and shock interaction with multi-material bubbles, show that the method is suitable for a wide range of complex compressible multi-material flows.

Original languageEnglish
Pages (from-to)870-895
Number of pages26
JournalJournal of Computational Physics
StatePublished - 15 Oct 2018


  • Compressible multi-material flows
  • Interface scale separation
  • Level-set method
  • Multi-resolution simulations
  • Sharp interface method


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