Numerical Method for the Nonlinear Two-Phase Displacement Problem and Its Application

YUAN Yi-rang; LIANG Dong; RUI Hong-xing; DU Ning; WANG Wen-qia

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YUAN Yi-rang, LIANG Dong, RUI Hong-xing, DU Ning, WANG Wen-qia. Numerical Method for the Nonlinear Two-Phase Displacement Problem and Its Application[J]. Applied Mathematics and Mechanics, 2008, 29(5): 575-588.

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Numerical Method for the Nonlinear Two-Phase Displacement Problem and Its Application

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

Received Date: 2007-09-20
Rev Recd Date: 2008-03-24
Publish Date: 2008-05-15

Abstract

Abstract

For the three-dimensional nonlinear two-phase displacement problem,the modified up-wind finite difference fractional steps schemes were put forward'some techniques,such as calculus of variations,induction hypothesis,decomposition of high order difference operators,the theory of prior estimates and techniques were used.Optimal order estimates were derived for the error in the approximation solution.These methods have been successfully used in predicting the consequences of seawater intrusion and protection projects.
- nonlinear coupled,
- upwind fractional step,
- convergence,
- seawater intrusion,
- after-effect and adjusted control

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References(17)

References

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