Numerical Method and Application for the Three-Dimensional Nonlinear System of Dynamics of Fluids in Porous Media

YUAN Yi-rang; DU Ning; WANG Wen-qia; HAN Yu-ji; YANG Cheng-shun

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(11): 1319-1328

YUAN Yi-rang, DU Ning, WANG Wen-qia, HAN Yu-ji, YANG Cheng-shun. Numerical Method and Application for the Three-Dimensional Nonlinear System of Dynamics of Fluids in Porous Media[J]. Applied Mathematics and Mechanics, 2006, 27(11): 1319-1328.

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Numerical Method and Application for the Three-Dimensional Nonlinear System of Dynamics of Fluids in Porous Media

1.
Institute of Mathematics, Shandong University, Jinan 250100, P. R. China;

Received Date: 2005-08-18
Rev Recd Date: 2006-08-04
Publish Date: 2006-11-15

Abstract

Abstract

For the system of multilayer dynamics of fluids in porous media,the second order upwind finite difference fractional steps schemes applicable to parallel arithmetic are put forward.Some techniques,such as calculus of variations,energy method,multiplicative commutation rule of difference operators,decomposition of high order difference operators and prior estimates were adopted.Optimal order estimates were derived to determine the error in the second order approximate solution. These methods have already been applied to the numerical simulation of migration-accumulation of oil resources.
- coupled system,
- nonlinear,
- upwind fractional step,
- convergence,
- numerical simulation of oil resource

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References(22)

References

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