An Upwind-Biased Transport Scheme Using a Quadratic Reconstruction on Spherical Icosahedral Grids
An Upwind-Biased Transport Scheme Using a Quadratic Reconstruction on Spherical Icosahedral Grids
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DOI：
10.1175/mwr-d-11-00355.1
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发表时间：
2013-02
影响因子：
3.2
通讯作者：
H. Miura;W. Skamarock
中科院分区：
文献类型：
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作者：
H. Miura;W. Skamarock
球二十面体网格的几种输运格式都是基于分段线性近似的。其中最简单的一个使用的算法，其中的示踪剂分布在逆风侧的细胞面是使用线性表面重建。最近，它表明，使用二阶或四阶重建，而不是线性的产生更好的结果。二阶重建方法的计算量并不比线性重建方法大多少，而四阶重建方法的计算量要大得多。在这项工作中，作者提出了另一种二阶重建方案的球面二十面体网格，从分段抛物方法的一些想法的动机。示踪剂的二阶轮廓在两个约束下重建：（i）轮廓的面积积分等于单元平均值乘以单元面积，以及（ii）轮廓是单元顶点值的最小二乘拟合。新方案[第二次U...
AbstractSeveral transport schemes developed for spherical icosahedral grids are based on the piecewise linear approximation. The simplest one among them uses an algorithm where the tracer distribution in the upwind side of a cell face is reconstructed using a linear surface. Recently, it was demonstrated that using second- or fourth-order reconstructions instead of the linear one produces better results. The computational cost of the second-order reconstruction method was not much larger than the linear one, while that of the fourth-order one was significantly larger. In this work, the authors propose another second-order reconstruction scheme on the spherical icosahedral grids, motivated by some ideas from the piecewise parabolic method. The second-order profile of a tracer is reconstructed under two constraints: (i) the area integral of the profile is equal to the cell-averaged value times the cell area and (ii) the profile is the least squares fit to the cell-vertex values. The new scheme [the second u...