报告人：Xiaoming He教授

               Department of Mathematics & Statistics, Missouri University of Science & Technology, USA

报告题目：Decoupling the coupled Navier-Stokes and Darcy equations with realistic parameters

报告时间：2019年01月04日下午15:00

报告地点：海韵实验楼108

摘要：The Navier-Stokes equation coupled with the Darcy equation through interface conditions has attracted scientists’ attention due to its wide range of applications and significant difficulty in the nonlinearity and interface conditions. This presentation discusses a multi-physics domain decomposition method for decoupling the coupled Navier-Stokes-Darcy system with the Beavers-Joseph interface condition. The wellposedness of this system is first showed by using a branch of singular solutions and the existing theoretical results on the Beavers-Joseph interface condition. Then Robin boundary conditions on the interface are constructed based on the physical interface conditions to decouple the Navier-Stokes and Darcy parts of the system. A parallel iterative domain decomposition method is developed according to these Robin boundary conditions and then analyzed for the convergence, especially for the realistic parameters. Numerical examples are presented to illustrate the features of this method and verify the theoretical results.

报告人简介：Xiaoming He现为美国Missouri University of Science & Technology终身教授，博士生导师。Xiaoming He教授主要的研究领域是计算科学与工程, 研究问题主要包括界面问题，计算流体力学，随机偏微分方程，非线性偏微分方程，反馈控制问题，计算电磁学等，主要研究有限元方法，区域分解方法等。在SIAM J. Sci. Comput., SIAM J. Numer. Anal., Math. Comput., Numer. Math., J. Comput. Phys.等国际知名期刊发表SCI 文章40余篇。

联系人：陈黄鑫副教授

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