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A FULL DISCRETISATION OF THE TIME-DEPENDENT BOUSSINESQ (BUOYANCY) MODEL WITH NONLINEAR VISCOSITY

Abstract : In this article, we study the time dependent Boussinesq (buoyancy) model with nonlinear viscosity depending on the temperature. We propose and analyze first and second order numerical schemes based on finite element methods. An optimal a priori error estimate is then derived for each numerical scheme. Numerical experiments are presented that confirm the theoretical accuracy of the discretization.
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https://halshs.archives-ouvertes.fr/halshs-01646611
Contributor : Rim Aldbaissy <>
Submitted on : Monday, December 4, 2017 - 10:55:49 AM
Last modification on : Wednesday, December 9, 2020 - 3:17:10 PM

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  • HAL Id : halshs-01646611, version 2

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Rim El Dbaissy † ‡, Frédéric Hecht, Gihane Mansour, Toni Sayah. A FULL DISCRETISATION OF THE TIME-DEPENDENT BOUSSINESQ (BUOYANCY) MODEL WITH NONLINEAR VISCOSITY. 2017. ⟨halshs-01646611v2⟩

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