Modified Characteristic Finite Difference Fractional Steps Method for Moving Boundary Value Problem of Percolation Coupled System

YUAN Yi-rang; LI Chang-feng; SUN Tong-jun

doi:10.3879/j.issn.1000-0887.2012.02.004

Volume 33 Issue 2

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YUAN Yi-rang, LI Chang-feng, SUN Tong-jun. Modified Characteristic Finite Difference Fractional Steps Method for Moving Boundary Value Problem of Percolation Coupled System[J]. Applied Mathematics and Mechanics, 2012, 33(2): 177-194. doi: 10.3879/j.issn.1000-0887.2012.02.004

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Modified Characteristic Finite Difference Fractional Steps Method for Moving Boundary Value Problem of Percolation Coupled System

doi: 10.3879/j.issn.1000-0887.2012.02.004

¹Institute of Mathematics, Shandong University, Jinan 250100, P.R.China;²School of Economics, Shandong University, Jinan 250100, P.R.China

Received Date: 2011-01-04
Rev Recd Date: 2011-11-23
Publish Date: 2012-02-15

Abstract

Abstract

For coupled system with moving boundary values of multilayer dynamics of fluids in porous media,a kind of characteristic finite difference fractional steps scheme applicable to parallel arithmetic were put forward. Some techniques, such as the change of regions, calculus of variations, piecewise threefold quadratic interpolation, multiplicative commutation rule of difference operators, decomposition of high order difference operators and prior estimates, were adopted. Optimal order estimates in l²norm are derived to determine the error in the approximate solution. This method has already been applied to the numerical simulation of migrationaccumulation of oil resources.

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References

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