| NUMERICAL METHOD AND APPLICATION FOR THREEDIMENSIONAL NONLINEAR SYSTEM OF DYNAMICS OF FLUIDS IN POROUS MEDIA |
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| 作者姓名： | 袁益让 杜宁 王文洽 韩玉笈 杨成顺 |
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| 作者单位： | Institute of Mathematics Shandong University，Jinan 250100，P. R. China，Institute of Mathematics，Shandong University，Jinan 250100，P. R. China，Institute of Mathematics，Shandong University，Jinan 250100，P. R. China，Physical Exploration Institute of Shengli Petroleum Administration，Dongying 257022，Shandong Province，P. R. China，Physical Exploration Institute of Shengli Petroleum Administration，Dongying 257022，Shandong Province，P. R. China |
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| 基金项目： | 国家重点基础研究发展计划(973计划);国家自然科学基金;高等学校博士学科点专项科研项目 |
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| 摘 要： | For the system of multilayer dynamics of fluids in porous media, the second order upwind finite difference fractional steps schemes applicable to parallel arithmetic are put forward. Some techniques, such as calculus of variations, energy method, multiplicative commutation rule of difference operators, decomposition of high order difference operators and prior estimates are adopted. Optimal order estimates are derived to determine the error in the second order approximate solution. These methods have already been applied to the numerical simulation of migration-accumulation of oil resources.
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| 关 键 词： | 连结系统 非线性 收敛 油资源数字模拟 |
| 收稿时间： | 2005-08-18 |
| 修稿时间： | 2006-08-04 |
Numerical method and application for three-dimensional nonlinear system of dynamics of fluids in porous media |
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| Yi-rang Yuan,Ning Du,Wen-qia Wang,Yu-ji Han,Cheng-shun Yang.NUMERICAL METHOD AND APPLICATION FOR THREEDIMENSIONAL NONLINEAR SYSTEM OF DYNAMICS OF FLUIDS IN POROUS MEDIA[J].Applied Mathematics and Mechanics(English Edition),2006,27(11):1507-1516. |
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| Authors: | Yi-rang Yuan Ning Du Wen-qia Wang Yu-ji Han Cheng-shun Yang |
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| Institution: | 1. Institute of Mathematics, Shandong University, Jinan 250100, P. R. China
2. Physical Exploration Institute of Shengli Petroleum Administration,Dongying 257022, Shandong Province, P. R. China |
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| Abstract: | For the system of multilayer dynamics of fluids in porous media, the second order upwind finite difference fractional steps schemes applicable to parallel arithmetic are put forward. Some techniques, such as calculus of variations, energy method, multiplicative commutation rule of difference operators, decomposition of high order difference operators and prior estimates are adopted. Optimal order estimates are derived to determine the error in the second order approximate solution. These methods have already been applied to the numerical simulation of migration-accumulation of oil resources. |
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| Keywords: | coupled system nonlinear upwind fractional steps convergence numerical simulation of oil resources |
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