Characteristic Finite Difference Method and Application for Moving Boundary Value Problem of the Coupled System

YUAN Yi-rang; LI Chang-feng; YANG Cheng-shun; HAN Yu-ji

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(5): 551-563

YUAN Yi-rang, LI Chang-feng, YANG Cheng-shun, HAN Yu-ji. Characteristic Finite Difference Method and Application for Moving Boundary Value Problem of the Coupled System[J]. Applied Mathematics and Mechanics, 2008, 29(5): 551-563.

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Characteristic Finite Difference Method and Application for Moving Boundary Value Problem of the Coupled System

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

Received Date: 2007-12-26
Rev Recd Date: 2008-03-26
Publish Date: 2008-05-15

Abstract

Abstract

The coupled system of multilayer dynamics of fluids in porous media is to describe the history of oil-gas transport and accumulation in basin evolution.It is of great value in rational evaluation of prospecting and exploiting oil-gas resources.The mathematical model can be described as a coupled system of nonlinear partial differential equations with moving boundary values.A kind of characteristic finite difference schemes was put forward,from which optimal order estimates in norm was derived for the error in the approximate solutions.The research is important both theoretically and practically for the model analysis in the field,for model numerical method and for software development.
- multilayer dynamics of fluids,
- moving boundary values,
- characteristic finite difference,
- error estimates,
- numerical simulation of oil deposit

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References(11)

References

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