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• W2080997524 abstract "In this paper, we present an h-adaptive discontinuous Galerkin formulation of the shallow water equations. For a discontinuous Galerkin scheme using polynomials up to order $$ p $$ , the spatial error of discretization of the method can be shown to be of the order of $$ h^{{p + 1}} $$ , where $$h$$ is the mesh spacing. It can be shown by rigorous error analysis that the discontinuous Galerkin method discretization error can be related to the amplitude of the inter-element jumps. Therefore, we use the information contained in jumps to build error metrics and size field. Results are presented for ocean modelling problems. A first experiment shows that the theoretical convergence rate is reached with the discontinuous Galerkin high-order h-adaptive method applied to the Stommel wind-driven gyre. A second experiment shows the propagation of an anticyclonic eddy in the Gulf of Mexico." @default.
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• W2080997524 date "2007-01-13" @default.
• W2080997524 modified "2023-10-11" @default.
• W2080997524 title "High-order h-adaptive discontinuous Galerkin methods for ocean modelling" @default.
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• W2080997524 doi "https://doi.org/10.1007/s10236-006-0093-y" @default.
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