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A tale of two elements: P1ncP1 and RTO

Hanert, E., Walters, R., Le Roux, D. Y. and Pietrzak, J. (2009) A tale of two elements: P1ncP1 and RTO. Ocean Modelling, 28 (1-3). pp. 24-33. ISSN 1463-5003

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To link to this item DOI: 10.1016/j.ocemod.2008.07.002


The and RT0 finite element schemes are among the most promising low order elements for use in unstructured mesh marine and lake models. They are both free of spurious elevation modes, have good dispersive properties and have a relatively low computational cost. In this paper, we derive both finite element schemes in the same unified framework and discuss their respective qualities in terms of conservation, consistency, propagation factor and convergence rate. We also highlight the impact that the local variables placement can have on the model solution. The main conclusion that we can draw is that the choice between elements is highly application dependent. We suggest that the element is better suited to purely hydrodynamical applications while the RT0 element might perform better for hydrological applications that require scalar transport calculations.

Item Type:Article
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Meteorology
ID Code:1136
Uncontrolled Keywords:Shallow water equations; Finite element method; Propagation factor; Consistency
Additional Information:The Sixth International Workshop on Unstructured Mesh Numerical Modelling of Coastal, Shelf and Ocean Flows Imperial College London, UK 19-21 September 2007

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