| THE UPWIND FINITE DIFFERENCE FRACTIONAL STEPS METHOD FOR NONLINEAR COUPLED SYSTEM OF DYNAMICS OF FLUIDS IN POROUS MEDIA |
| |
| 引用本文： | Yirang YUAN. THE UPWIND FINITE DIFFERENCE FRACTIONAL STEPS METHOD FOR NONLINEAR COUPLED SYSTEM OF DYNAMICS OF FLUIDS IN POROUS MEDIA[J]. 系统科学与复杂性, 2006, 19(4): 498-516. DOI: 10.1007/s11424-006-0498-1 |
| |
| 作者姓名： | Yirang YUAN |
| |
| 作者单位： | Institute of Mathematics, Shandong University, Jinan 250100, China. |
| |
| 摘 要： | For nonlinear coupled system of multilayer dynamics of fluids in porous media,the secondorder and first order upwind finite difference fractional steps schemes applicable to parallel arithmeticare put forward,and two-dimensional and three-dimensional schemes are used to form a completeset.Some techniques,such as calculus of variations,multiplicative commutation rule of differenceoperators,decomposition of high order difference operators and prior estimates,are adopted.Optimalorder estimates in L~2 norm are derived to determine the error in the second order approximate solution.This method has already been applied to the numerical simulation of migration-accumulation of oilresources.
|
| 关 键 词： | 分数步幅 非线性连接系统 流体动力学 多孔渗水介质 |
| 收稿时间： | 2004-07-05 |
| 修稿时间： | 2004-07-05 |
The Upwind Finite Difference Fractional Steps Method for Nonlinear Coupled System of Dynamics of Fluids in Porous Media |
| |
| Yirang Yuan. The Upwind Finite Difference Fractional Steps Method for Nonlinear Coupled System of Dynamics of Fluids in Porous Media[J]. Journal of Systems Science and Complexity, 2006, 19(4): 498-516. DOI: 10.1007/s11424-006-0498-1 |
| |
| Authors: | Yirang Yuan |
| |
| Affiliation: | (1) Institute of Mathematics, Shandong University, Jinan, 250100, China |
| |
| Abstract: | For nonlinear coupled system of multilayer dynamics of fluids in porous media, the second order and first order upwind finite difference fractional steps schemes applicable to parallel arithmetic are put forward, trod two-dimensional and three-dimensional schemes are used to form a complete set. Some techniques, such as calculus of variations, multiplicative commutation rule of difference operators, decomposition of high order difference operators and prior estimates, are adopted. Optimal order estimates in L2 norm are derived to determine the error in the second order approximate solution. This method has already been applied to the numerical simulation of migration-accumulation of oil resources. |
| |
| Keywords: | Convergence coupled system multilayer dynamics of fluids in porous media nonlinear equations upwind finite difference fractional steps method. |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ |
