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• W1977110629 abstract "We present a comparative study of two finite element shallow water equation (SWE) models: a generalized wave continuity equation based continuous Galerkin (CG) model—an approach used by several existing SWE models—and a recently developed discontinuous Galerkin (DG) model. While DG methods are known to possess a number of favorable properties, such as local mass conservation, one commonly cited disadvantage is the larger number of degrees of freedom associated with the methods, which naturally translates into a greater computational cost compared to CG methods. However, in a series of numerical tests, we demonstrate that the DG SWE model is generally more efficient than the CG model (i) in terms of achieving a specified error level for a given computational cost and (ii) on large-scale parallel machines because of the inherently local structure of the method. Both models are verified on a series of analytic test cases and validated on a field-scale application." @default.
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• W1977110629 date "2009-01-23" @default.
• W1977110629 modified "2023-10-16" @default.
• W1977110629 title "A Performance Comparison of Continuous and Discontinuous Finite Element Shallow Water Models" @default.
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• W1977110629 doi "https://doi.org/10.1007/s10915-009-9268-2" @default.
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