Corrected Nonconservative Schemes

作     者：Olivier PIRONNEAU 

作者机构：LJLL University of Paris VI & IUF4 Place Jussieu75252 Paris Cedex 05France 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2006年第27卷第5期

页      面：539-548页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Upwinding Non-conservative Finite volume method Compressible Euler 

摘      要：Derivatives of discontinuities being Dirac singularities, it is usually not possible to multiply them by discontinuous functions. However in the context of conservation laws we have shown in a recent paper that it can be done. We shall make use of this new framework to revisit some upwind methods, mostly characteristic schemes, and show that they can be corrected to be conservative and to work on difficult problems such as Euler＇s equations for fluids. Numerous numerical results are given.