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• W2074505839 abstract "The discontinuous Galerkin (DG) method is combined with the spectral deferred correction (SDC) time integration approach to solve the fluid dynamic equations. The moment limiter is generalized for nonuniform grids with hanging nodes that result from adaptive mesh refinement. The effect of characteristic, primitive, or conservative decomposition in the limiting stage is studied. In general, primitive variable decomposition is a better option, especially in two and three dimensions. The accuracy-preserving total variation diminishing (AP-TVD) marker for troubled-cell detection, which uses an averaged-derivative basis, is modified to use the Legendre polynomial basis. Given that the latest basis is generally used for DG, the new approach avoids transforming to the averaged-derivative basis, what results in a more efficient technique. Further, a new error estimator is proposed to determine where to refine or coarsen the grid. This estimator is compared against other estimator used in the literature and shows an improved performance. Canonical tests in one, two, and three dimensions are conducted to show the accuracy of the solver." @default.
• W2074505839 created "2016-06-24" @default.
• W2074505839 creator A5012307941 @default.
• W2074505839 creator A5045529208 @default.
• W2074505839 creator A5048315926 @default.
• W2074505839 date "2012-10-16" @default.
• W2074505839 modified "2023-09-24" @default.
• W2074505839 title "Discontinuous Galerkin method with the spectral deferred correction time-integration scheme and a modified moment limiter for adaptive grids" @default.
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• W2074505839 doi "https://doi.org/10.2140/camcos.2012.7.133" @default.
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