Fully discrete high-resolution schemes for hyperbolic conservation laws

被引：0

作者：

Shi, J ^{[1
]}

Toro, EF ^{[1
]}

机构：

[1] MANCHESTER METROPOLITAN UNIV, DEPT MATH & PHYS, MANCHESTER M15 6BH, LANCS, ENGLAND

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 1996年 / 23卷 / 04期

关键词：

fully discrete; upwind scheme; TVD; high-order; hyperbolic;

D O I：

10.1002/(SICI)1097-0363(19960830)23:4<309::AID-FLD410>3.0.CO;2-Z

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The present paper is a sequel to two previous papers in which rigorous, up to fourth-order, fully discrete (FD) upwind TVD schemes have been presented. In this paper we discuss in detail the extension of these schemes to solutions of non-linear hyperbolic systems. The performance of the schemes is assessed by solving test problems for the time-dependent Euler equations of gas dynamics in one and two space dimensions. We use exact solutions and experimental data to validate the results.

引用

页码：309 / 323

页数：15

共 50 条

[1] HIGH-RESOLUTION SCHEMES FOR HYPERBOLIC CONSERVATION-LAWS
HARTEN, A
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1983, 49 (03) : 357 - 393
[2] Efficient high-resolution relaxation schemes for hyperbolic systems of conservation laws
Kumar, Ritesh
Kadalbajoo, M. K.
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2007, 55 (05) : 483 - 507
[3] High-resolution finite compact difference schemes for hyperbolic conservation laws
Shen, YQ
Yang, GW
Gao, Z
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 216 (01) : 114 - 137
[4] ON THE NUMERICAL DISSIPATION OF HIGH-RESOLUTION SCHEMES FOR HYPERBOLIC CONSERVATION-LAWS
MUNZ, CD
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1988, 77 (01) : 18 - 39
[5] High-resolution nonoscillatory central schemes with nonstaggered grids for hyperbolic conservation laws
Jiang, GS
Levy, D
Lin, CT
Osher, S
Tadmor, E
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1998, 35 (06) : 2147 - 2168
[6] Linear high-resolution schemes for hyperbolic conservation laws: TVB numerical evidence
Bona, C.
Bona-Casas, C.
Terradas, J.
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 228 (06) : 2266 - 2281
[7] Introduction to ''high resolution schemes for hyperbolic conservation laws''
Lax, P
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 135 (02) : 259 - 259
[8] HIGH-RESOLUTION SCHEMES USING FLUX LIMITERS FOR HYPERBOLIC CONSERVATION-LAWS
SWEBY, PK
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1984, 21 (05) : 995 - 1011
[9] Relaxed High Resolution Schemes for Hyperbolic Conservation Laws
H. Joachim Schroll
[J]. Journal of Scientific Computing, 2004, 21 (2) : 251 - 279
[10] New high-resolution central-upwind schemes for nonlinear hyperbolic conservation laws
Lin, CT
[J]. HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, 2003, : 705 - 715

← 1 2 3 4 5 →