| 多孔介质中可压缩驱动问题的全离散分裂正定混合元方法 |
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| 引用本文： | 张建松,羊丹平.多孔介质中可压缩驱动问题的全离散分裂正定混合元方法[J].山东大学学报(理学版),2006,41(1):1-10. |
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| 作者姓名： | 张建松 羊丹平 |
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| 作者单位： | 山东大学,数学与系统科学学院,山东,济南,250100 |
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| 基金项目： | 高等学校博士学科点专项科研项目 |
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| 摘 要： | 提出了数值模拟多孔介质中可压缩驱动问题的全离散分裂正定混合元方法.引入分裂正定混合有限元方法来求解抛物型的压力方程.混合有限元方程组是对称正定的，并且流函数方程不依赖于压力方程.采用标准的Garlerkin方法来处理对流－扩散型的饱和度方程.给出了此方法的全离散格式，并分析了该全离散格式的收敛性.
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| 关 键 词： | 分裂正定混合元 可压缩流体 全离散格式 收敛性分析 |
| 文章编号： | 1671-9352（2006）01-0001-10 |
| 收稿时间： | 2005-05-08 |
| 修稿时间： | 2005-05-08 |
A fully-discrete splitting positive definite mixed element scheme finite for compressible miscible displacement in porous media |
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| ZHANG Jian-song,YANG Dan-ping.A fully-discrete splitting positive definite mixed element scheme finite for compressible miscible displacement in porous media[J].Journal of Shandong University,2006,41(1):1-10. |
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| Authors: | ZHANG Jian-song YANG Dan-ping |
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| Institution: | School of Math. and System Sci., Shandong Univ., Jinan 250100, Shandong, China |
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| Abstract: | A miscible displacement of one compressible fluid by another in a porous medium is governed by a nonlinear parabolic system. A new mixed finite element method, in which the mixed element system is symmetric positive definite and the flux equation is separated from pressure equation, is introduced to solve the pressure equation of parabolic type, and a standard Galerkin method is used to treat the convection-diffusion equation of concentration of one of the fluids. A fnlly-discrete scheme is given and the convergence of the scheme is analyzed. |
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| Keywords: | splitting positive definite system displacement of compressible flow fully-discrete scheme convergence analysis |
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