A CONTROL VOLUME METHOD TO SOLVE AN ELLIPTIC EQUATION ON A 2-DIMENSIONAL IRREGULAR MESH

被引:57
作者
FAILLE, I
机构
[1] Institut Français du Pétrole, 92506 Rueil Malmaison cedex
关键词
D O I
10.1016/0045-7825(92)90186-N
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The approximation of an elliptic partial differential operator on a two-dimensional irregular grid by a control volume method is studied. A conservative control volume scheme with a consistent approximation of the fluxes is shown to satisfy a property of weak consistency and to be convergent under appropriate stability assumptions. Numerical experiments are presented.
引用
收藏
页码:275 / 290
页数:16
相关论文
共 10 条
[1]  
Aziz K., 1979, PETROLEUM RESERVOIR
[2]  
CAI Z, IN PRESS SIAM J NUME
[3]  
CARSLAW HS, CONDUCTION HEAT SOLI
[4]  
FAILLE I, 1990, IFP37763 RAPP
[5]  
FORSYTH PA, 1988, APPL NUMER MATH, P377
[6]  
FORSYTH PA, 1989, SPE18415
[7]  
KERSHAW DS, 1987, J COMPUT PHYS, V39, P375
[8]  
MANTEUFFEL TA, 1986, MATH COMPUT, V47, P511, DOI 10.1090/S0025-5718-1986-0856700-3
[9]  
ROZON B, 1989, SPE1814
[10]  
UNGERER P, 1990, AAPG BULL, V74, P309