Topic:Mortar element method for the coupling of Navier-Stokes and Darcy flows
Speaker: Professor ChenYanping
Event date: 4/17/2019
Event time: 16:00 p.m.
Venue: Lecture Hall1508, Building 9
Sponsor: School ofMathematics and Statistics, Institute of Science and Technology
Abstract: In this talk,mortar element method is investigated for the coupling of incompressible flowand porous media flow which is relevant to a variety of physical processes. Itconsists of three parts: the steady coupling of Navier-Stokes and Darcy flows; the unsteady coupling of Stokes and Darcyflows; the unsteady coupling of Navier-Stokes and Darcy flows. The existenceand the uniqueness of the weak solution are proved by Galerkin method. Theinterface part of Navier-Stokes'boundary is chosen as the mortar. Theconvergence is proved and numerical results verify theoretical analysis.