ON CENTRAL-DIFFERENCE AND UPWIND SCHEMES

被引：293
作者：
SWANSON, RC
TURKEL, E
机构：
[1] TEL AVIV UNIV,IL-69978 TEL AVIV,ISRAEL
[2] INST COMP APPLICAT SCI & ENGN,HAMPTON,VA 23665
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 1992年 / 101卷 / 02期
关键词：
D O I：
10.1016/0021-9991(92)90007-L
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A class of numerical dissipation models for central-difference schemes constructed with second- and fourth-difference terms is considered. The notion of matrix dissipation associated with upwind schemes is used to establish improved shock capturing capability for these models. In addition, conditions are given that guarantee that such dissipation models produce a TVD scheme. Appropriate switches for this type of model to ensure satisfaction of the TVD property are presented. Significant improvements in the accuracy of a central-difference scheme are demonstrated by computing both inviscid and viscous transonic airfoil flows. © 1992.
引用
收藏
页码：292 / 306
页数：15
相关论文
共 50 条
[31]   New Low-Dissipation Central-Upwind Schemes [J].
Kurganov, Alexander ;
Xin, Ruixiao .
JOURNAL OF SCIENTIFIC COMPUTING, 2023, 96 (02)
[32]   Compressible simulations of bubble dynamics with central-upwind schemes [J].
Koukouvinis, Phoevos ;
Gavaises, Manolis ;
Georgoulas, Anastasios ;
Marengo, Marco .
INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, 2016, 30 (02) :129-140
[33]   New Low-Dissipation Central-Upwind Schemes [J].
Alexander Kurganov ;
Ruixiao Xin .
Journal of Scientific Computing, 2023, 96
[34]   Compressible bubble dynamic simulations with central-upwind schemes [J].
City University London, Northampton Square, EC 1V 0HB, United Kingdom ;
不详 ;
24044, Italy ;
不详 ;
BN2 4GJ, United Kingdom .
J. Phys. Conf. Ser., 1
[35]   Compressible bubble dynamic simulations with central-upwind schemes [J].
Koukouvinis, P. ;
Gavaises, M. ;
Georgoulas, A. ;
Marengo, M. .
9TH INTERNATIONAL SYMPOSIUM ON CAVITATION (CAV2015), 2015, 656
[36]   UPWIND DIFFERENCE-SCHEMES FOR HYPERBOLIC SYSTEMS OF CONSERVATION-LAWS [J].
OSHER, S ;
SOLOMON, F .
MATHEMATICS OF COMPUTATION, 1982, 38 (158) :339-374
[37]   Conservative upwind difference schemes for open channel flows - Theory and applications [J].
Glaister, P .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 50 (1-2) :57-72
[38]   On some upwind difference schemes for the phenomenological sedimentation-consolidation model [J].
Bürger, R ;
Karlsen, KH .
JOURNAL OF ENGINEERING MATHEMATICS, 2001, 41 (2-3) :145-166
[39]   Compressible two-phase flows by central and upwind schemes [J].
Karni, S ;
Kirr, E ;
Kurganov, A ;
Petrova, G .
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2004, 38 (03) :477-493
[40]   Central-upwind schemes for the Saint-Venant system [J].
Kurganov, A ;
Levy, D .
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2002, 36 (03) :397-425
12345