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- W2157278560 abstract "Abstract An adaptive spectral/ hp discontinuous Galerkin method for the two‐dimensional shallow water equations is presented. The model uses an orthogonal modal basis of arbitrary polynomial order p defined on unstructured, possibly non‐conforming, triangular elements for the spatial discretization. Based on a simple error indicator constructed by the solutions of approximation order p and p −1, we allow both for the mesh size, h , and polynomial approximation order to dynamically change during the simulation. For the h ‐type refinement, the parent element is subdivided into four similar sibling elements. The time‐stepping is performed using a third‐order Runge–Kutta scheme. The performance of the hp ‐adaptivity is illustrated for several test cases. It is found that for the case of smooth flows, p ‐adaptivity is more efficient than h ‐adaptivity with respect to degrees of freedom and computational time. Copyright © 2010 John Wiley & Sons, Ltd." @default.
- W2157278560 created "2016-06-24" @default.
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- W2157278560 date "2010-10-06" @default.
- W2157278560 modified "2023-10-10" @default.
- W2157278560 title "An hp-adaptive discontinuous Galerkin method for shallow water flows" @default.
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- W2157278560 doi "https://doi.org/10.1002/fld.2434" @default.
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