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A γ‐DGBGK scheme for compressible multi‐fluids
Author(s) -
Ni Guoxi,
Sun Wenjun
Publication year - 2011
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.2283
Subject(s) - discontinuous galerkin method , dissipative system , compressible flow , compressibility , flux limiter , mathematics , limiter , shock (circulatory) , flow (mathematics) , coupling (piping) , mathematical analysis , physics , mechanics , computer science , geometry , finite element method , materials science , medicine , telecommunications , quantum mechanics , thermodynamics , metallurgy
The paper presents a Discontinuous Galerkin γ‐BGK (γ‐DGBGK) method for compressible multicomponent flow simulations by coupling the discontinuous Galerkin method with a γ‐BGK scheme based on WENO limiters. In this γ‐DGBGK method, the construction of the flux in the DG method is based on the kinetic scheme which not only couples the convective and dissipative terms together, but also includes both discontinuous and continuous terms in the flux formulation at cell interfaces. WENO limiters are used to obtain uniform high‐order accuracy and sharp non‐oscillatory shock transition, and time accuracy obtained by integration for the flux function at the cell interface. Numerical examples in one and two space dimensions are presented to illustrate the robust and accuracy of the present scheme. Copyright © 2010 John Wiley & Sons, Ltd.