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

Ward, G. M. and Pullin, D. I. (2010) A hybrid, center-difference, limiter method for simulations of compressible multicomponent flows with Mie-Grüneisen equation of state. Journal of Computational Physics, 229 (8). pp. 2999-3018. ISSN 0021-9991. https://resolver.caltech.edu/CaltechAUTHORS:20100412-111520708

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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-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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/j.jcp.2009.12.027DOIArticle
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.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Department of Energy (DOE) National Nuclear Security AdministrationDE-FC52-08NA28613
Subject Keywords:Hybrid methods; Center difference; Limiter methods; Weighted essentially non-oscillatory methods; Mie-Grüneisen equation of state
Issue or Number:8
Record Number:CaltechAUTHORS:20100412-111520708
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20100412-111520708
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:17940
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:12 Apr 2010 20:36
Last Modified:03 Oct 2019 01:35

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