Characteristic fractional step finite difference method for nonlinear section coupled system |
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Authors: | Yi-rang YUAN Chang-feng LI Tong-jun SUN Yun-xin LIU |
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Affiliation: | [1]Institute of Mathematics, Shandong University, Jinan 250100, P. R. China; [2]School of Economics, Shandong University, Jinan 250100, P. R. China |
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Abstract: | For the section coupled system of multilayer dynamics of fluids in porous media, a parallel scheme modified by the characteristic finite difference fractional steps is proposed for a complete point set consisting of coarse and fine partitions. Some techniques, such as calculus of variations, energy method, twofold-quadratic interpolation of product type, multiplicative commutation law of difference operators, decomposition of high order difference operators, and prior estimates, are used in theoretical analysis.Optimal order estimates in l2 norm are derived to show accuracy of the second order approximation solutions. These methods have been used to simulate the problems of migration-accumulation of oil resources. |
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Keywords: | three-dimensional section coupled system complete nonlinear equation characteristic fractional step convergence numerical simulation |
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