Numerical and theoretical study of a Dual Mesh Method using finite volume schemes for two phase flow problems in porous media |
| |
Authors: | S Verdière MH Vignal |
| |
Institution: | Institut Fran?ais du Pétrole, Université de Pau et des Pays de l'Adour, FR Ecole Normale Supérieure de Lyon, FR
|
| |
Abstract: | Summary. In this paper we are interested in two phase flow problems in porous media. We use a Dual Mesh Method to discretize this
problem with finite volume schemes. In a simplified case (elliptic - hyperbolic system) we prove the convergence of approximate
solutions to the exact solutions. We use the Dual Mesh Method in physically complex problems (heterogeneous cases with non
constant total mobility). We validate numerically the Dual Mesh Method on practical examples by computing error estimates
for different test-cases.
Received March 21, 1997 / Revised version received October 13, 1997 |
| |
Keywords: | Mathematics Subject Classification (1991):65M60 |
本文献已被 SpringerLink 等数据库收录! |