ABSTRACT
JIM DOUGLAS, JR. , FELIPE PEREIRA and LI-MING YEH Department of Math ematics, Purdue University, West Lafayette, IN 47907, USA
PAULO JORGE PAES LEME Instituto Politecnico da Universidade do Estado de Rio Janeiro, 28760 Nova Friburgo, Brazil
Abstract . We present a massively parallel domain decomposition technique designed to solve the system of partial differential equations describing two-phase immiscible flow in porous media. In order to prevent numerical instabilities we show how upwinding can be incorporated in the evaluation of mobilities in the context of a hybridized mixed finite element method used to discretize the governing equations . A spatial decomposition of the problem is achieved through a new iterative procedure which is proposed to localize computations in the numerical solution of the resulting nonlinear problem.
