A hybrid, center-difference, limiter method for simulations of compressible multicomponent flows with Mie-Grüneisen equation of state

  • Authors:

  • G. M. Ward;D. I. Pullin

  • Affiliations:

  • Graduate Aeronautical Laboratories, California Institute of Technology, Mail Code 205-45, Caltech, Pasadena, CA 910.525/910.506, USA;Graduate Aeronautical Laboratories, California Institute of Technology, Mail Code 205-45, Caltech, Pasadena, CA 910.525/910.506, USA

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2010

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Abstract

We develop an efficient spatially high-order, Cartesian-mesh, hybrid, center-difference, limiter methodology for numerical simulations of compressible multicomponent flows with isotropic Mie-Gruneisen equation of state. Effective switching between center-difference and limiter schemes is achieved by a set of robust tolerance and Lax-entropy based criterion [18]. Oscillations that could result from a mixed stencil scheme are minimized by requiring that the limiter method approaches the center-difference method in smooth regions. To achieve this the limiter is based on a norm of the deviation of WENO reconstruction weights from ideal. Results from a spatially 4th order version of the methodology are presented in one and two dimensions utilizing the California Institute of Technology's VTF (Virtual Test Facility) AMROC [7] software.