报告主题：Decoupling the coupled Navier-Stokes and Darcy equations with realistic parameters
报告人：何晓明 副教授 （美国密苏里科学技术大学）
报告时间：2017年 11月22日（周三）15:00
报告地点：校本部G507
邀请人：刘东杰
主办部门：8455新葡萄场网站数学系 报告摘要：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.
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