IMIS | Flanders Marine Institute
 

Flanders Marine Institute

Platform for marine research

IMIS

Publications | Institutes | Persons | Datasets | Projects | Maps
[ report an error in this record ]basket (0): add | show Printer-friendly version

Comparison of unstructured, staggered grid methods for the shallow water equations
Walters, R.A.; Hanert, E.; Pietrzak, J.; Le Roux, D.Y. (2009). Comparison of unstructured, staggered grid methods for the shallow water equations. Ocean Modelling 28(1-3): 106-117. dx.doi.org/10.1016/j.ocemod.2008.12.004
In: Ocean Modelling. Elsevier: Oxford. ISSN 1463-5003, more
Peer reviewed article  

Available in Authors 
    VLIZ: Open Repository 279884 [ OMA ]

Keyword
    Marine
Author keywords
    Shallow water equations; Unstructured grid; Finite element; Finite

Authors  Top 
  • Walters, R.A.
  • Hanert, E., more
  • Pietrzak, J.
  • Le Roux, D.Y.

Abstract
    Unstructured grid models are receiving increased attention mainly because of their ability to provide a flexible spatial discretization. Hence, some areas can be resolved in great detail while not over-resolving other areas. Development of these models is an ongoing process with significant longstanding issues with spurious computational modes, efficiency, advection and Coriolis approximations, and so forth. However, many of these problems have been solved with the current generation of models which have much promise for coastal to global scale ocean modelling. Our purpose is to intercompare a class of unstructured grid models where the continuity equation reduces to a finite volume approximation. The momentum equations can be approximated with finite difference, finite element, or finite volume methods. Each of these methods can have advantages and disadvantages in different classes of problems that range from hydraulics to coastal and global ocean flows. Some of the more important differences are restrictions on grid irregularity and stability of the Coriolis term. The finite element version of the model has important advantages in the discretization of the Coriolis term and does not require a reconstruction of a tangential velocity component. The comparison is illustrated with a simple test case.

All data in IMIS is subject to the VLIZ privacy policy Top | Authors