Orthogonal Adaptive Grid Generation with Fixed Internal Boundaries for Oil Reservoir Simulation

Abstract

SUMMARY The generation of boundary conforming, orthogonal, smooth curvilinear grid systems for regions containing internal boundaries, which can also cluster dynamically to physical solution gradients, is of major importance to reservoir simulation. This paper develops a practical methodology for achieving these objectives for two dimensional problems, with extensions to three dimensions. It is based on extending elliptic mapping methods to parabolic ones and the use of equidistribution schemes.