Browse

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

Cited 0 time in Web of Science Cited 0 time in Scopus
Authors
Kim, Chongam; XU, KUN; MARTINELLI, LUIGI; JAMESON, ANTONY
Issue Date
1997
Publisher
John Wiley & Sons
Citation
Int. J. Num. Met. in Fluids, 25, 21 (1997)
Keywords
gas evolution modelgas-kinetic BGK schemesentropy conditiongas-kinetic Lax-Wendroff fluxkinetic flux vector splittinglocal extremum diminishingadvection equationsnon-linear hyperbolic systems
Abstract
Gas-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.
ISSN
0271-2091
Language
English
URI
http://hdl.handle.net/10371/6843
DOI
https://doi.org/10.1002/(SICI)1097-0363(19970715)25:1
Files in This Item:
There are no files associated with this item.
Appears in Collections:
College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Mechanical Aerospace Engineering (기계항공공학부)Journal Papers (저널논문_기계항공공학부)
  • mendeley

Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse