A tale of two elements: and RT

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• 作者：Emmanuel Hanert ; Roy A. Walters ; Daniel Y. Le Roux ; Julie D. Pietrzak
• 关键词：Shallow water equations ; Finite element method ; Propagation factor ; Consistency
• 刊名：Ocean Modelling
• 出版年：2009
• 出版时间：2009
• 年：2009
• 卷：28
• 期：1-3
• 页码：24-33
• 全文大小：564 K

文摘

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.