Finite element method for the Stokes-Darcy problem with a new boundary condition
O. El Moutea1, H. El Amri1, A. El Akkad2
1Ecole Normale Superieure Casablanca, Morocco, African Union
2Centre Regional des MГ©tiers d'Education et de Formation de Fes Meknes, Morocco, African Union
Keywords: задача Стокса-Дарси, смешанный метод конечных элементов, свободный поток, поток пористой среды, стабилизированная схема, Stokes-Darcy problem, mixed п¬Ѓnite element method, free flow, porous media flow, stabilized scheme
Abstract
This paper considers numerical methods for approaching and simulate the Stokes-Darcy problem, with a new boundary condition. We study herein a robust stabilized fully mixed discretization technique, this method ensures the stability of the finite element scheme and does not use any Lagrange multipliers to introduce a stabilization term in the temporal Stokes-Darcy problem discretization. The well-posedness of the finite element scheme and its convergence analysis are also derived. Finally, the effciency and accuracy of the numerical methods are illustrated by different numerical tests.
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