On utility of triangular C-grid type discretization for numerical modeling of large-scale ocean flows
On utility of triangular C-grid type discretization for numerical modeling of large-scale ocean flows
复制标题
DOI：
10.1007/s10236-010-0339-6
复制
发表时间：
2010-09
期刊：
影响因子：
2.3
通讯作者：
S. Danilov
中科院分区：
文献类型：
--
作者：
S. Danilov
基于三角C网格离散的海洋环流模型常用于非结构网格上的近岸海洋动力学模拟。结果表明，在慢地转动力学主导的时间和空间尺度上，这种离散化分别在水平速度散度场和垂直速度场中呈现棋盘噪声。这种噪声与三角形C网格的几何形状有关，并通过科里奥利算符的特殊结构在接近地转平衡的区域内被放大。它在某些情况下可以被部分抑制，但在一般情况下仍然是一个问题，使得三角形C网格成为大规模海洋模拟的次优选择。
Ocean circulation models based on triangular C-grid discretization are frequently employed to simulate coastal ocean dynamics on unstructured meshes. It is shown that on time and space scales dominated by slow geostrophic dynamics, this discretization tends to exhibit checkerboard noise in the field of horizontal velocity divergence and vertical velocity, respectively. The noise is linked to the geometry of triangular C-grid and is amplified in regimes that are close to geostrophic balance through the particular structure of the Coriolis operator. It can be partly suppressed in some cases but remains a problem in a general case and makes the triangular C-grid a suboptimal choice for large-scale ocean modeling.