A Finite-Volume Grid Using Multimoments for Geostrophic Adjustment
A Finite-Volume Grid Using Multimoments for Geostrophic Adjustment
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DOI：
10.1175/mwr3197.1
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发表时间：
2006-09
影响因子：
3.2
通讯作者：
F. Xiao;Xindong Peng;Xueshun Shen
中科院分区：
文献类型：
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作者：
F. Xiao;Xindong Peng;Xueshun Shen
本文提出了一种新的有限体积网格，该网格既采用传统有限体积方法中的体积积分平均（VIA），又采用表面积分平均（SIA）作为模型变量。在这里使用的上下文中，VIA和SIA通常被称为“矩”，并作为预测量分别在时间上结转。在控制体中定义了通孔，而SIA位于控制体表面的情况下，基于通孔和SIA的离散化导致了数值色散的一些新特征。提出了一种同时使用VIA和SIA求解浅水方程的简单公式。本文讨论了所得网格的数值离散性，并与现有网格进行了比较，所得网格表示为“M网格”。
This paper presents a novel finite-volume grid that uses not only the volume-integrated average (VIA) like the traditional finite-volume method, but also the surface-integrated average (SIA) as the model variables. The VIA and SIA are generically called “moments” in the context used here and are carried forward in time separately as the prognostic quantities. With the VIA defined in the control volume while the SIA is on the surface of the control volume, the discretization based on VIA and SIA leads to some new features in the numerical dispersions. A simple formulation using both VIA and SIA for shallow-water equations is presented. The numerical dispersion of the resulting grid, which is denoted as the “M grid,” is discussed with comparisons to the existing ones.