A comparison of conservative upwind difference schemes for the shallow water equations

被引：2

作者：

Glaister, P ^{[1
]}

机构：

[1] Univ Reading, Dept Math, Reading RG6 6AX, Berks, England

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2005年 / 49卷 / 11-12期

关键词：

shallow water equations; upwinding; conservation; source terms;

D O I：

10.1016/j.camwa.2004.10.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Numerical results are presented and compared for four conservative upwind difference schemes for the shallow water equations when applied to a standard test problem. This includes consideration of the effect of treating part of the flux balance as a source, and a comparison of square-root and arithmetic averaging. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1773 / 1786

页数：14

共 50 条

[1] Conservative upwind difference schemes for the shallow water equations
Glaister, P
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 39 (5-6) : 189 - 199
[2] A comparison of conservative upwind difference schemes for the Euler equations
Glaister, P
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 51 (6-7) : 879 - 888
[3] Conservative upwind difference schemes for the Euler equations
Glaister, P
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 45 (10-11) : 1673 - 1682
[4] Multidimensional upwind schemes for the shallow water equations
Paillere, H
Degrez, G
Deconinck, H
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1998, 26 (08) : 987 - 1000
[5] Hydrostatic Upwind Schemes for Shallow-Water Equations
Berthon, Christophe
Foucher, Francoise
FINITE VOLUMES FOR COMPLEX APPLICATIONS VI: PROBLEMS & PERSPECTIVES, VOLS 1 AND 2, 2011, 4 : 97 - 105
[6] Conservative upwind difference schemes for the Euler equations for real gas flows in a duct
Glaister, P.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (09) : 1432 - 1437
[7] DISSIPATIVE DIFFERENCE SCHEMES FOR SHALLOW WATER EQUATIONS
VLIEGENT.AC
JOURNAL OF ENGINEERING MATHEMATICS, 1969, 3 (02) : 81 - &
[8] Conservative invariant finite-difference schemes for the modified shallow water equations in Lagrangian coordinates
Kaptsov, Evgeniy I.
Dorodnitsyn, Vladimir A.
Meleshko, Sergey V.
STUDIES IN APPLIED MATHEMATICS, 2022, 149 (03) : 729 - 761
[9] Conservative upwind difference schemes for compressible flows in a duct
Glaister, P.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (07) : 1787 - 1796
[10] CENTRAL-UPWIND SCHEMES FOR TWO-LAYER SHALLOW WATER EQUATIONS
Kurganov, Alexander
Petrova, Guergana
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2009, 31 (03): : 1742 - 1773

← 1 2 3 4 5 →