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N°Spécial De Revue/Special Issue ESAIM: Proceedings and Surveys Année : 2017

Godunov type scheme for the linear wave equation with Coriolis source term

Résumé

We propose a method to explain the behavior of the Godunov finite volume scheme applied to the linear wave equation with Coriolis source term at low Froude number. In particular, we use the Hodge decomposition and we study the properties of the modified equation associated to the Godunov scheme. Based on the structure of the discrete kernel of the linear operator discretized by using the Godunov scheme, we clearly explain the inaccuracy of the classical Godunov scheme at low Froude number and we introduce the way to modify it to recover a good accuracy.

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Dates et versions

hal-01254888 , version 1 (31-05-2016)

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Emmanuel Audusse, Stéphane Dellacherie, Minh-Hieu Do, Pascal Omnes, Yohan Penel. Godunov type scheme for the linear wave equation with Coriolis source term. ESAIM: Proceedings and Surveys, 58, 2017, LMLFN 2015 – Low Velocity Flows – Application to Low Mach and Low Froude regimes, ⟨10.1051/proc/201758001⟩. ⟨hal-01254888⟩
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