Repository: Freie Universit├Ąt Berlin, Math Department

Conservative Discretization of Coriolis Force

Audusse, E. and Klein, R. and Owinoh, A.Z. (2009) Conservative Discretization of Coriolis Force. Journal of Computational Physics, 228 (8). pp. 2934-2950.

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In this article we are interested in the problem of numerical simulations for a shallow fluid flow in a rotating system. This problem is closely related to climate or meteorological simulations. Our purpose is to introduce a new finite volume technique which allows us to guarantee conservation of linear momentum in an inertial frame of reference. Furthermore, we show that this method introduces a new discrete Coriolis term which is based on the interface mass fluxes instead of on straightforward cell-centered evaluation of the source term. Some numerical tests exhibit that this approach significantly reduces the numerical diffusion and is particularly interesting when considering nonisotropic meshes or long time simulations.

Item Type:Article
Uncontrolled Keywords:Shallow water flows; Rotational fluids; Coriolis force; Conservation property; Linear momentum; Finite volume method
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group
ID Code:532
Deposited By: Ulrike Eickers
Deposited On:10 Jul 2009 14:21
Last Modified:20 Aug 2009 10:00

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