Nonlinear Advection Schemes on the Octagonal Grid
Nonlinear Advection Schemes on the Octagonal Grid
复制标题
八角形网格上的非线性平流方案
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
Verica Savic
中科院分区：
文献类型：
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作者：
M. Rancic;Hai Zhang;Verica Savic
摘要非线性动量平流的处理是矩形准均匀球网格在全球环流模式中应用的突出挑战之一。准均匀网格（例如，立方体和八边形），它们实际上是通过沿其边界沿着连接一组区域域而组装起来的，似乎是将区域大气模型扩展到全球覆盖范围的一个极好的选择。然而，由于这些网格在奇点附近不可避免地缺乏正交性（即，连接三个相邻矩形块的角点），常识方法是首先将基本数值方案推广到一般曲线坐标，然后应用全球化。在这个过程中，假设一个“弱保守的提法”的推广应用，Arakawa型动量方案的平流形式主义和它们的一些属性，特别是那些重要的长期“气候...
Abstract Successful treatment of nonlinear momentum advection is one of the outstanding challenges for the application of rectangular quasi-uniform spherical grids in global circulation models. Quasi-uniform grids (e.g., cubic and octagonal), which are virtually assembled by connecting a set of regional domains along their boundaries, appear to be an excellent choice for the expansion of regional atmospheric models to global coverage. However, because of an unavoidable lack of orthogonality of these grids in the proximity of the singular points (i.e., the corner points connecting three neighboring rectangular tiles), a common-sense approach is to first generalize underlying numerical schemes to the general curvilinear coordinates, and then to apply globalization. In this procedure, assuming that a “weak conservative formulation” for the generalization is applied, the advective formalism of the Arakawa-type momentum schemes and some of their properties, especially those important for the long-term “climate...