| 四边形网格上Darcy-Stokes耦合流动问题的非协调稳定化有限元法 |
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| 引用本文： | 刘程熙,夏龄.四边形网格上Darcy-Stokes耦合流动问题的非协调稳定化有限元法[J].四川师范大学学报(自然科学版),2011,34(4):493-498. |
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| 作者姓名： | 刘程熙 夏龄 |
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| 作者单位： | 1. 内江师范学院数学与信息科学学院,四川内江641112;内江师范学院四川省高等学校数值仿真重点实验室,四川内江641112
2. 四川民族学院网络信息中心,四川康定,626001 |
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| 基金项目： | 四川省科技攻关课题基金(05GG006-006-2)资助项目 |
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| 摘 要： | 耦合的Darcy-stokes问题在工程和实际应用中有着重要的应用,成为了计算流体力学和计算数学等领域的研究热点.对该问题满足稳定条件的协调有限元构造复杂不利于计算,因而对Darcy-Stokes耦合流动问题提出了一个在四边形网格上的非协调稳定化有限元逼近法.该方法在整个区域上利用P1非协调有限元进行离散.证明了这种方法的一致稳定性和离散问题解的存在唯一性,最后给出了误差估计.
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| 关 键 词： | 四边形网格 耦合的Darcy-Stokes流 非协调 有限元 |
Nonconforming Stabilized Finite Element Method for the Coupling Darcy-Stokes Flow on Quadrilateral Meshes |
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| LIU Cheng-xi,XIA Ling.Nonconforming Stabilized Finite Element Method for the Coupling Darcy-Stokes Flow on Quadrilateral Meshes[J].Journal of Sichuan Normal University(Natural Science),2011,34(4):493-498. |
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| Authors: | LIU Cheng-xi XIA Ling |
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| Institution: | LIU Cheng-xi1,2,XIA Ling3(1.Department of Mathematics and Information Sciences,Neijiang Normal College,Neijiang 641112,Sichuan,2.Key Laboratory of Numberical Simulation for Sichuan Universities and Colleges,3.Center of Network Information,National Institute of Sichuan,Kangding 626001,Sichuan) |
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| Abstract: | The coupling of Darcy-Stokes equation plays an important role in practical application and in engineering.It becomes a hot item in computational fluid dynamics and computational mathematics research.The construction of conforming finite element satisfying stable condition is complicated and hard to compute.In this paper,we develop a unified nonconforming stabilized finite element method for the coupled Darcy-Stokes problems based on quadrilateral grid meshes.The approach utilizes nonconforming P1 element di... |
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| Keywords: | quadrilateral grid mesh the coupled Darcy-Stokes flow nonconforming finite element |
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