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Title: A High-Resolution Godunov Method for Compressible Multi-Material Flow on Overlapping Grids

Abstract

A numerical method is described for inviscid, compressible, multi-material flow in two space dimensions. The flow is governed by the multi-material Euler equations with a general mixture equation of state. Composite overlapping grids are used to handle complex flow geometry and block-structured adaptive mesh refinement (AMR) is used to locally increase grid resolution near shocks and material interfaces. The discretization of the governing equations is based on a high-resolution Godunov method, but includes an energy correction designed to suppress numerical errors that develop near a material interface for standard, conservative shock-capturing schemes. The energy correction is constructed based on a uniform pressure-velocity flow and is significant only near the captured interface. A variety of two-material flows are presented to verify the accuracy of the numerical approach and to illustrate its use. These flows assume an equation of state for the mixture based on Jones-Wilkins-Lee (JWL) forms for the components. This equation of state includes a mixture of ideal gases as a special case. Flow problems considered include unsteady one-dimensional shock-interface collision, steady interaction of an planar interface and an oblique shock, planar shock interaction with a collection of gas-filled cylindrical inhomogeneities, and the impulsive motion of the two-component mixture inmore » a rigid cylindrical vessel.« less

Authors:
; ; ;
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
936486
Report Number(s):
UCRL-JRNL-219484
Journal ID: ISSN 0021-9991; JCTPAH; TRN: US200818%%823
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics, vol. 223, N/A, April 1, 2007, pp. 262-297; Journal Volume: 223
Country of Publication:
United States
Language:
English
Subject:
99 GENERAL AND MISCELLANEOUS; ACCURACY; DIMENSIONS; GASES; GEOMETRY; MIXTURES; RESOLUTION

Citation Formats

Banks, J W, Schwendeman, D W, Kapila, A K, and Henshaw, W D. A High-Resolution Godunov Method for Compressible Multi-Material Flow on Overlapping Grids. United States: N. p., 2006. Web.
Banks, J W, Schwendeman, D W, Kapila, A K, & Henshaw, W D. A High-Resolution Godunov Method for Compressible Multi-Material Flow on Overlapping Grids. United States.
Banks, J W, Schwendeman, D W, Kapila, A K, and Henshaw, W D. Mon . "A High-Resolution Godunov Method for Compressible Multi-Material Flow on Overlapping Grids". United States. https://www.osti.gov/servlets/purl/936486.
@article{osti_936486,
title = {A High-Resolution Godunov Method for Compressible Multi-Material Flow on Overlapping Grids},
author = {Banks, J W and Schwendeman, D W and Kapila, A K and Henshaw, W D},
abstractNote = {A numerical method is described for inviscid, compressible, multi-material flow in two space dimensions. The flow is governed by the multi-material Euler equations with a general mixture equation of state. Composite overlapping grids are used to handle complex flow geometry and block-structured adaptive mesh refinement (AMR) is used to locally increase grid resolution near shocks and material interfaces. The discretization of the governing equations is based on a high-resolution Godunov method, but includes an energy correction designed to suppress numerical errors that develop near a material interface for standard, conservative shock-capturing schemes. The energy correction is constructed based on a uniform pressure-velocity flow and is significant only near the captured interface. A variety of two-material flows are presented to verify the accuracy of the numerical approach and to illustrate its use. These flows assume an equation of state for the mixture based on Jones-Wilkins-Lee (JWL) forms for the components. This equation of state includes a mixture of ideal gases as a special case. Flow problems considered include unsteady one-dimensional shock-interface collision, steady interaction of an planar interface and an oblique shock, planar shock interaction with a collection of gas-filled cylindrical inhomogeneities, and the impulsive motion of the two-component mixture in a rigid cylindrical vessel.},
doi = {},
journal = {Journal of Computational Physics, vol. 223, N/A, April 1, 2007, pp. 262-297},
number = ,
volume = 223,
place = {United States},
year = {Mon Feb 13 00:00:00 EST 2006},
month = {Mon Feb 13 00:00:00 EST 2006}
}