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Article Dans Une Revue Physics of Fluids Année : 2016

Numerical stability analysis and flow simulation of lid-driven cavity subjected to high magnetic field

Résumé

In this work we study the flow of a conducting fluid inside a two-dimensional square domain. The problem is solved by using a variational multiscale finite element approach. The study focuses on a high magnetic interaction parameter range and high Reynolds number. Under the imposition of a high magnetic field, the flow gets regularized, but fast transient phenomena take place, which could lead to numerical errors. An expression to compute the maximum time-step which guarantees convergence in explicit schemes is proposed and validated through numerical tests.
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Dates et versions

hal-01311179 , version 1 (10-05-2016)

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Luca Marioni, François Bay, Elie Hachem. Numerical stability analysis and flow simulation of lid-driven cavity subjected to high magnetic field. Physics of Fluids, 2016, 28 (5), pp.057102. ⟨10.1063/1.4948433⟩. ⟨hal-01311179⟩
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