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• W2964402009 abstract "This paper develops a new limiter and applies it to the high-order discontinuous Galerkin (DG) method on unstructured grids. We extend the original second-order Van Albada limiter to the third-order accuracy based on the vector integral theorem. In order to achieve the high-order accuracy, we have derived the expressions for the second-order derivatives of the flow variables on the cell center. The developed limiter is differentiable, simple to be implemented and has a good property of convergence. Several numerical cases demonstrate that the new limiter can preserve the high-order numerical accuracy in smooth regions, and effectively control the nonphysical oscillations near the shock waves." @default.
• W2964402009 created "2019-08-13" @default.
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• W2964402009 date "2019-10-01" @default.
• W2964402009 modified "2023-09-25" @default.
• W2964402009 title "An accuracy preserving limiter for the high-order discontinuous Galerkin method on unstructured grids" @default.
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• W2964402009 doi "https://doi.org/10.1016/j.compfluid.2019.104253" @default.
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