A thermodynamic and dynamic subgrid closure model for two-material cells

Mingyu Sun

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


A general and robust subgrid closure model for two-material cells is proposed. The conservative quantities of the entire cell are apportioned between two materials, and then, pressure and velocity are fully or partially equilibrated by modeling subgrid wave interactions. An unconditionally stable and entropy-satisfying solution of the processes has been successfully found. The solution is valid for arbitrary level of relaxation. The model is numerically designed with care for general materials and is computationally efficient without recourse to subgrid iterations or subcycling in time. The model is implemented and tested in the Lagrange-remap framework. Two interesting results are observed in 1D tests. First, on the basis of the closure model without any pressure and velocity relaxation, a material interface can be resolved without creating numerical oscillations and/or large nonphysical jumps in the problem of the modified Sod shock tube. Second, the overheating problem seen near the wall surface can be solved by the present entropy-satisfying closure model. The generality, robustness, and efficiency of the model make it useful in principle in algorithms, such as ALE methods, volume of fluid methods, and even some mixture models, for compressible two-phase flow computations.

Original languageEnglish
Pages (from-to)130-151
Number of pages22
JournalInternational Journal for Numerical Methods in Fluids
Issue number2
Publication statusPublished - 2013 Sep 20


  • ALE
  • Lagrange schemes
  • Subgrid closure model
  • Two-material
  • Two-phase
  • VOF

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics


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