Author(s)

Jim Douglas, Jr, Frederico Furtado Felipe Pereira & Li-Ming Yeh

Abstract

Numerical methods for transport-dominated flows in heterogeneous porous media Jim Douglas, Jr % Frederico Furtado\ Felipe Pereira", Li-Ming Yeh* ^Department of Mathematics, Purdue University, West * Department of Mathematics, University of Wyoming, Laramie, %T22077-J036, L%4 *Laboratorio Nacional de Computa^do Cientifica, Rio de Janeiro, RJ, Brazil 22290 andlnstituto Politecnico/UERJ, Nova Friburgo, RJ 28601, Brazil ^Department of Applied Mathematics, National Chiao-Tung University, Hsinchu, Taiwan, R. O. C. Abstract In this paper we consider the problem of simulating two-phase, immiscible, incompressible flow in heterogeneous porous media in the presence of gravity, using an accurate numerical method based on the mass-conserving, characteristics-based MMOCAA (Modified Method of Characteristics with Adjusted Advection) scheme for fluid transport. 1 Introduction We are concerned with the accurate numerical simulation of transport- dominated multiphase flow problem

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