Mortar element method for the coupling of Navier-Stokes and Darcy flows


主講人:陳艷萍 華南師范大學教授




內容介紹:In this talk, mortar element method is investigated for the coupling of  incompressible flow and porous media flow which is relevant to a variety of  physical processes. It consists of three parts: the steady coupling of  Navier-Stokes and Darcy flows; the unsteady coupling of Stokes and Darcy flows;  the unsteady coupling of Navier-Stokes and Darcy flows. The existence and the  uniqueness of the weak solution are proved by Galerkin method. The interface  part of Navier-Stokes' boundary is chosen as the mortar. The convergence is  proved and numerical results verify theoretical analysis.