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 Métiers 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 finite 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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