Short Note: Hyperviscosity for shock-turbulence interactions

  • Authors:

  • Andrew W. Cook;William H. Cabot

  • Affiliations:

  • Lawrence Livermore National Laboratory, Livermore, CA 94550, USA;Lawrence Livermore National Laboratory, Livermore, CA 94550, USA

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2005

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Abstract

An artificial viscosity is described, which functions as an effective subgrid-scale model for both high and low Mach number flows. The model employs a bulk viscosity for treating shocks and a shear viscosity for treating turbulence. Each of the viscosities contains an empirical constant; however, the constants do not require adjustment from flow to flow. A polyharmonic operator, applied to the strain rate, imparts spectral-like behavior to the model, thus eliminating the need for ad hoc limiters and/or ''dynamic procedures'' to turn off the model in smooth regions. The model gives excellent results for Shu's problem, Noh's problem and decaying turbulence.