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Advection schemes for unstructured grid ocean modelling
Hanert, E.; Le Roux, D.Y.; Legat, V.; Deleersnijder, E. (2004). Advection schemes for unstructured grid ocean modelling. Ocean Modelling 7(1-2): 39-58. dx.doi.org/10.1016/S1463-5003(03)00029-5
In: Ocean Modelling. Elsevier: Oxford. ISSN 1463-5003, more
Peer reviewed article  

Available in  Authors 
    VLIZ: Open Repository 103512 [ OMA ]

Keywords
    Advection; Modelling; Marine
Author keywords
    unstructured grids; advection schemes

Project Top | Authors 
  • Second-generation Louvain-la-Neuve Ice-ocean Model, more

Authors  Top 
  • Hanert, E., more
  • Le Roux, D.Y.
  • Legat, V., more
  • Deleersnijder, E., more

Abstract
    We study advection schemes for unstructured grid ocean models. Four linear advection schemes are investigated by solving a scalar transport equation. Schemes under consideration include continuous, nonconforming and discontinuous finite elements and finite volumes. A comprehensive derivation of the numerical schemes is presented and conservation and dispersion properties are discussed. An assessment is made by performing the test problem introduced by Hecht et al. [J. Geophys. Res. 100 (1995) 20763] in which a passive scalar field is advected through an analytical Stommel gyre. It is found that continuous finite elements and finite volumes have some difficulties to represent accurately solutions with steep gradients. As a result they are prone to generate unphysical oscillations. On the other hand, discontinuous and non-conforming finite element schemes perform better. This is due to their higher flexibility that makes them better suited to highly sheared flows.

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