NEW FINITE-ELEMENT-BASED FLUCTUATION-SPLITTING KINETIC SCHEMES

Citation
B. Khobalatte et P. Leyland, NEW FINITE-ELEMENT-BASED FLUCTUATION-SPLITTING KINETIC SCHEMES, International journal for numerical methods in fluids, 27, 1998, pp. 229-239
Citations number
16
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications","Phsycs, Fluid & Plasmas",Mechanics,Mathematics,"Computer Science Interdisciplinary Applications
ISSN journal
02712091
Volume
27
Year of publication
1998
Pages
229 - 239
Database
ISI
SICI code
0271-2091(1998)27:<229:NFFKS>2.0.ZU;2-2
Abstract
Starting from the gas kinetic model, a new class of schemes for hyperb olic systems of conservation laws is presented. The flow solvers are b ased on the Boltzmann equations. The numerical discretization is based on the upwind cell vertex fluctuation-splitting model. The method is truly multidimensional in the sense that the splitting is independent of a particular normal direction; the geometry of the mesh does not in fluence the upwinding. Numerical results for inviscid flow test cases are presented to indicate the robustness and accuracy of the schemes. (C) 1998 John Wiley & Sons, Ltd.