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Weighted average flux method and flux limiters for the numerical simulation of shock waves in rigid porous media
Author(s) -
Torrens R.,
Wrobel L. C.
Publication year - 2002
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.416
Subject(s) - mechanics , limiter , flux limiter , spurious relationship , flux (metallurgy) , shock wave , shock (circulatory) , porous medium , total variation diminishing , flow (mathematics) , physics , mathematics , porosity , mathematical analysis , materials science , engineering , geotechnical engineering , medicine , telecommunications , metallurgy , statistics
The one‐dimensional flow field generated by the passage of a shock wave in a rigid, thermoelastic porous foam has been simulated using a two‐phase mathematical model. The work presented here makes use of the weighted average flux method to solve the system of six equations that govern the problem. Spurious oscillations are eliminated through the application of total variation diminishing limiting methods. Four different limiters were tested: van Leer, SuperA, MinA and van Albada. Numerical tests were carried out to verify the performance of each flux limiter in terms of accuracy. The results were compared to analytical and previously obtained data to assess the performance of the mathematical model. Excellent agreement was obtained. Copyright © 2002 John Wiley & Sons, Ltd.