Abstract
ABSTRACT It is well known that the ordering of the unknowns on a finite-difference grid had effects on the computing efficiency of direct matrix solution methods. In reservoir simulation, diagonal ordering scheme (D2), alternating point ordering scheme (A3), and alternating diagonal ordering scheme (D4) have been found theoretically and experimentally to improve the performance of Gaussian type direct solution methods. This paper investigates the effects of D2, A3 and D4 ordering schemes on the performance of iterative matrix methods. The test model is the typical two-dimensional parabolic partial differential equation with Neumann type boundary conditions and the iterative method used is the point successive overrelaxation (PSOR). Ten different cases are presented.
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