High-order discontinuous Galerkin Difference cut-cell discretization
High-order discontinuous Galerkin Difference cut-cell discretization
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DOI：
10.2514/6.2021-1939
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发表时间：
2020-01
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通讯作者：
Sharanjeet Kaur;Jason E. Hicken
中科院分区：
文献类型：
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作者：
Sharanjeet Kaur;Jason E. Hicken
提出了一种高阶不连续伽辽金差分（DGD）离散化方法。我们利用DGD重建程序来改善与切割细胞相关的小细胞问题。数值实验表明，对于一维和二维线性问题，DGD离散化的调节对切割单元尺寸不敏感。此外，给出的结果验证了DGD离散化应用于欧拉方程的准确性。
Wepresent a high-order discontinuousGalerkin difference (DGD) discretization for cut-cell meshes. We leverage the DGD reconstruction procedure to ameliorate the small-cell problem associated with cut-cells. Numerical experiments demonstrate that the conditioning of DGD discretizations is insensitive to cut-cell sizes for linear problems in oneand two-dimensions. In addition, results are presented that verify the accuracy of the DGD discretization applied to the Euler equations.