Vlaams Instituut voor de Zee

Platform voor marien onderzoek

In:

Open Marien Archief

Het Open Marien Archief van België (OMA) biedt vrije toegang tot de digitale publicaties over de Vlaamse kust en het Belgisch deel van de Noordzee, en alle andere mariene, estuariene en kustgebonden publicaties van Belgische auteurs en wetenschappers en van buitenlandse wetenschappers geaffilieerd aan een Belgische instelling.

Meer info

Nieuwe zoekopdracht
meld een fout in dit recordmandje (0): toevoegen | toon Print-vriendelijke versie

Consistent computation of the age of water parcels using CART
Mercier, C.; Delhez, E.J.M. (2010). Consistent computation of the age of water parcels using CART. Ocean Modelling 35(1-2): 67-76. dx.doi.org/10.1016/j.ocemod.2010.06.005
In: Ocean Modelling. Elsevier: Amsterdam. ISSN 1463-5003, meer
Peer reviewed article

Beschikbaar in Auteurs 

Trefwoorden
    Diagnostic tests; Leeftijd; Maximum principle; Ocean models; Marien
Author keywords
    TVD schemes; Maximum principle; CART; Ocean modeling; Model diagnostic; Superbee; Age; Total variation

Auteurs  Top 
  • Mercier, C., meer
  • Delhez, E.J.M., meer

Abstract
    The Constituent-oriented Age and Residence time Theory (CART) provides a flexible and efficient framework to diagnose the dynamics of marine systems. Beside the equation for the concentration of appropriate (real or artificial) tracers, the method requires the resolution of differential problems for the so-called age concentration of each of these tracers. Thanks to its Eulerian formulation as an advection/diffusion problem with source terms, the method is easily implemented in existing models. However, some numerical artifacts should be avoided in order to produce physically meaningful results leading to a better understanding of the system under study. In this paper, we address two such issues that are related to the degree of implicitness of the different terms and to the advection scheme.

    To enforce the consistency between the discrete equations for the concentration of a tracer and for its age concentration, the degree of implicitness must be identical in the source/sink terms of the two equations. However, the ageing term should be computed in a completely explicit (respectively implicit) way if the discretization of the source/sink terms is implicit in time (respectively explicit).

    A specific attention should also be paid to the advection schemes for the concentration and the age concentration. The raw application of Total Variation Diminishing (TVD) scheme for both equations can lead to the occurrence of artificial local extreme values and spatial oscillations of the age field. While the TVD behavior of the discrete age field cannot be guaranteed, appropriate modifications of the flux/slope limiters used in the TVD schemes can be implemented to enforce a maximum principle that prevents the occurrence of age values outside the physically acceptable range.

 Top | Auteurs