Corrected Nonconservative Schemes  

作　　者：Olivier PIRONNEAU 

机构地区：[1]LJLL University of Paris VI & IUF,4 Place Jussieu,75252 Paris Cedex 05,France

出　　处：《Chinese Annals of Mathematics,Series B》2006年第5期539-548,共10页数学年刊（B辑英文版）

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.

关 键 词：UPWINDING Non-conservative Finite volume method Compressible Euler 

分 类 号：O177[理学—数学]