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Article Dans Une Revue Ocean Modelling Année : 2007

A tree-based solver for adaptive ocean modelling

Résumé

The development of an adaptive (in space and time) ocean model from an existing adaptive finite-volume Navier-Stokes model is described. A flexible and efficient quadtree spatial discretisation is used which requires collocation of all variables (i.e. an A-grid discretisation). We demonstrate that the use of an approximate projection method allows for implicit damping of instabilities generally associated with the A-grid, at the expense of a relatively small amount of numerical energy dissipation, while accurately preserving dispersive properties and geostrophic balance. The finite-volume formulation also maintains second-order spatial accuracy at all solid boundaries. Test cases demonstrate the efficacy of the adaptive ocean model, and the advantages it has in terms of efficient representation of multi-scale behaviour within a single model. The model is freely available as open-source code.

Domaines

Océanographie
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Dates et versions

hal-01445434 , version 1 (07-02-2017)

Identifiants

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S. Popinet, G. J. Rickard. A tree-based solver for adaptive ocean modelling. Ocean Modelling, 2007, 16 (3-4), pp.224-249. ⟨10.1016/j.ocemod.2006.10.002⟩. ⟨hal-01445434⟩
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