an:01228460
Zbl 0912.76063
Verdi??re, S.; Vignal, M. H.
Numerical and theoretical study of a dual mesh method using finite volume schemes for two-phase flow problems in porous media
EN
Numer. Math. 80, No. 4, 601-639 (1998).
00050828
1998
j
76M25 76T99 76S05 76M12
elliptic-hyperbolic system; heterogeneous cases with non-constant total mobility; convergence; error estimates
Summary: We examine two-phase flow problems in porous media. We use a dual mesh method to discretize this problem with finite volume schemes, and in a simplified case (elliptic-hyperbolic system) we prove the convergence of approximate solutions to the exact solutions. We study physically complex problems (heterogeneous cases with non-constant total mobility) and validate the method numerically on practical examples by computing error estimates for different test cases.