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Compressible two‐phase flow modelling based on thermodynamically compatible systems of hyperbolic conservation laws
Author(s) -
Romenski E.,
Drikakis D.
Publication year - 2008
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.1689
Subject(s) - conservation law , godunov's scheme , compressibility , mathematics , compressible flow , isentropic process , flow (mathematics) , hyperbolic partial differential equation , mechanics , shock (circulatory) , two phase flow , mathematical analysis , partial differential equation , numerical analysis , physics , geometry , medicine
This paper outlines the development of a two‐phase flow model based on the theory of thermodynamically compatible systems of hyperbolic conservation laws. The conservative hyperbolic governing equations are numerically implemented in conjunction with the second‐order MUSCL method and the GFORCE flux, while for the reduced isentropic model the first‐order Godunov method is also derived. Results are presented for the water–air shock tube and water‐faucet test problems. Copyright © 2007 John Wiley & Sons, Ltd.