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A second‐order BGK scheme for the equations of radiation hydrodynamics
Author(s) -
Jiang Song,
Sun Wenjun
Publication year - 2006
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.1284
Subject(s) - euler equations , scheme (mathematics) , mathematics , euler's formula , compressibility , compressible flow , numerical diffusion , kinetic scheme , order (exchange) , limit (mathematics) , series (stratigraphy) , diffusion , mathematical analysis , kinetic energy , physics , classical mechanics , mechanics , quantum mechanics , paleontology , finance , biology , economics
Abstract We present a second‐order BGK scheme for the equations of multidimensional radiation hydrodynamics (RHE) in zero diffusion limit by using the generalized Maxwellian ( Comput. Fluids 2000; 29 :917–933) and the second‐order BGK scheme for the Euler equations ( J. Comput. Phys. 1993; 109 :53–66; Gas Kinetic Scheme for Unsteady Compressible Flow Simulations . Lecture Note Series 1998‐03. Von Kárman Institute for Fluid Dynamics, 1998). This extends a (first‐order) kinetic flux vector splitting scheme (KFVS) for RHE (Tang and Wu (2000)) to a second‐order BGK scheme. Several one‐ and two‐dimensional numerical examples demonstrate improvement of the scheme in accuracy and resolution compared with the KFVS scheme (Tang and Wu (2000)) and the first‐order BGK scheme. Copyright © 2006 John Wiley & Sons, Ltd.