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Analysis and Implementation of the Gas-Kinetic BGK Scheme for Computational Gas Dynamics

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dc.contributor.authorKim, Chongam-
dc.contributor.authorXU, KUN-
dc.contributor.authorMARTINELLI, LUIGI-
dc.contributor.authorJAMESON, ANTONY-
dc.date.accessioned2009-08-10T23:14:32Z-
dc.date.available2009-08-10T23:14:32Z-
dc.date.issued1997-
dc.identifier.citationInt. J. Num. Met. in Fluids, 25, 21 (1997)en
dc.identifier.issn0271-2091-
dc.identifier.urihttps://hdl.handle.net/10371/6843-
dc.description.abstractGas-kinetic schemes based on the BGK model are proposed as an alternative evolution model which can cure
some of the limitations of current Riemann solvers. To analyse the schemes, simple advection equations are
reconstructed and solved using the gas-kinetic BGK model. Results for gas-dynamic application are also
presented. The ®nal ¯ux function derived in this model is a combination of a gas-kinetic Lax±Wendroff ¯ux of
viscous advection equations and kinetic ¯ux vector splitting. These two basic schemes are coupled through a
non-linear gas evolution process and it is found that this process always satis®es the entropy condition. Within
the framework of the LED (local extremum diminishing) principle that local maxima should not increase and
local minima should not decrease in interpolating physical quantities, several standard limiters are adopted to
obtain initial interpolations so as to get higher-order BGK schemes. Comparisons for well-known test cases
indicate that the gas-kinetic BGK scheme is a promising approach in the design of numerical schemes for
hyperbolic conservation laws.
en
dc.language.isoen-
dc.publisherJohn Wiley & Sonsen
dc.subjectgas evolution modelen
dc.subjectgas-kinetic BGK schemesen
dc.subjectentropy conditionen
dc.subjectgas-kinetic Lax-Wendroff fluxen
dc.subjectkinetic flux vector splittingen
dc.subjectlocal extremum diminishingen
dc.subjectadvection equationsen
dc.subjectnon-linear hyperbolic systemsen
dc.titleAnalysis and Implementation of the Gas-Kinetic BGK Scheme for Computational Gas Dynamicsen
dc.typeArticleen
dc.contributor.AlternativeAuthor김종암-
dc.identifier.doi10.1002/(SICI)1097-0363(19970715)25:1-
Appears in Collections:
College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Mechanical Aerospace Engineering (기계항공공학부)Journal Papers (저널논문_기계항공공학부)
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