A naive scheme to solve shallow-water equations

被引:14
作者
Buffard, T [1 ]
Gallouet, T
Herard, JM
机构
[1] Univ Blaise Pascal, Lab Math Appl, F-63177 Aubiere, France
[2] Univ Aix Marseille 1, CMI, F-13453 Marseille 13, France
[3] Dept Lab Natl Hydraul, DER, EDF, F-78400 Chatou, France
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 326卷 / 03期
关键词
D O I
10.1016/S0764-4442(97)83000-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A Finite-Volume scheme to solve shallow-water equations is proposed herein. This scheme makes use of velocity-celerity variables. It enables computing dam-break waves on dry bottom and generation of dry beds.
引用
收藏
页码:385 / 390
页数:6
相关论文
共 17 条
[1]  
BUFFARD T, 1996, HE4196041A EDF
[2]  
COMBE L, 1995, THESIS INPT TOULOUSE
[3]  
COMBE L, 1995, HE4195008A EDF
[4]   ON GODUNOV-TYPE METHODS NEAR LOW-DENSITIES [J].
EINFELDT, B ;
MUNZ, CD ;
ROE, PL ;
SJOGREEN, B .
JOURNAL OF COMPUTATIONAL PHYSICS, 1991, 92 (02) :273-295
[5]  
ESTIVALEZES JL, 1996, SIAM J NUMER ANAL, V33, P2060
[6]  
Gallouet T, 1996, CR ACAD SCI I-MATH, V323, P77
[7]  
Godunov S.K., 1959, MATH SB, V47, P217
[8]  
Goutal N., 1997, P 2 WORKSH DAM BREAK
[9]   A well-balanced scheme for the numerical processing of source terms in hyperbolic equations [J].
Greenberg, JM ;
Leroux, AY .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1996, 33 (01) :1-16
[10]  
LETELLIER A, 1993, 93451 CEA DMT