Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (2): 177-194.doi: https://doi.org/10.1007/s10483-012-1542-x

• Articles • 上一篇    下一篇

Modified characteristic finite difference fractional step method for moving boundary value problem of percolation coupled system

袁益让1 李长峰2 孙同军1   

  1. 1. Institute of Mathematics, Shandong University, Jinan 250100, P. R. China;
    2. School of Economics, Shandong University, Jinan 250100, P. R. China
  • 收稿日期:2011-01-04 修回日期:2011-11-23 出版日期:2012-01-11 发布日期:2012-02-01

Modified characteristic finite difference fractional step method for moving boundary value problem of percolation coupled system

 YUAN Yi-Rang1, LI Chang-Feng2, SUN Tong-Jun1   

  1. 1. Institute of Mathematics, Shandong University, Jinan 250100, P. R. China;
    2. School of Economics, Shandong University, Jinan 250100, P. R. China
  • Received:2011-01-04 Revised:2011-11-23 Online:2012-01-11 Published:2012-02-01

PDF

629

被引次数

5

摘要： For the coupled system with moving boundary values of multilayer dynamics of fluids in porous media, a characteristic finite difference fractional step scheme applicable to the parallel arithmetic is put forward. Some techniques, such as the change of regions, the calculus of variations, the piecewise threefold quadratic interpolation, the multiplicative commutation rule of difference operators, the decomposition of high order difference operators, and the prior estimates, are adopted. The optimal order estimates in the l2 norm are derived to determine the error in the approximate solution. This numerical method has been successfully used to simulate the flow of migration-accumulation of the multilayer percolation coupled system. Some numerical results are well illustrated in this paper.

Abstract: For the coupled system with moving boundary values of multilayer dynamics of fluids in porous media, a characteristic finite difference fractional step scheme applicable to the parallel arithmetic is put forward. Some techniques, such as the change of regions, the calculus of variations, the piecewise threefold quadratic interpolation, the multiplicative commutation rule of difference operators, the decomposition of high order difference operators, and the prior estimates, are adopted. The optimal order estimates in the l2 norm are derived to determine the error in the approximate solution. This numerical method has been successfully used to simulate the flow of migration-accumulation of the multilayer percolation coupled system. Some numerical results are well illustrated in this paper.

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn