Abstract.
In this paper we study a penalization method used to compute the flow of a viscous fluid around a thin layer of porous material. Using a BKW method, we perform an asymptotic expansion of the solution when a little parameter, measuring the thickness of the thin layer and the inverse of the penalization coefficient, tends to zero. We compare then this numerical method with a Brinkman model for the flow around a porous thin layer.
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Communicated by O. Pironneau
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Carbou, G. Brinkmann Model and Double Penalization Method for the Flow Around a Porous Thin Layer. J. math. fluid mech. 10, 126–158 (2008). https://doi.org/10.1007/s00021-006-0221-y
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DOI: https://doi.org/10.1007/s00021-006-0221-y