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Published April 20, 2010 | public
Journal Article

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

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-Grüneisen 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.

Additional Information

© 2010 Elsevier. Received 29 July 2009; revised 9 November 2009; accepted 21 December 2009. Available online 4 January 2010. This Material is based upon work supported by the Department of Energy National Nuclear Security Administration under Award Number DE-FC52-08NA28613.

Additional details

Created:
August 21, 2023
Modified:
March 5, 2024