Advection on Cut-Cell Grids for an Idealized Mountain of Constant Slope
Advection on Cut-Cell Grids for an Idealized Mountain of Constant Slope
复制标题
DOI：
10.1175/mwr-d-16-0308.1
复制
发表时间：
2017-04
影响因子：
3.2
通讯作者：
J. Steppeler;J. Klemp
中科院分区：
文献类型：
--
作者：
J. Steppeler;J. Klemp
AbstractCut单元格使用规则或几乎规则的多边形单元格来描述场。对于一个给定的地形，一些单元可能完全在山下面，一些完全在山上面，还有一些部分充满空气。虽然有报告表明，切割细胞的模拟有了很大的改进，但某些近似值可能会出现不准确，在表面附近的区域产生噪音。这种行为可能强烈地依赖于对表面附近的平流项所作的近似。本文研究了近山无辐散流数值格式的平流精度。该方案使用C网格交错，密度位于单元中心或单元角上。此外，被认为是一个非保守的计划，这是在过去使用的真实数据切割细胞模拟。由于曲面附近的切割单元会产生不规则的分辨率，因此某些近似的精度和顺序可能会在曲面附近发生故障。本论文的目的是…
AbstractCut cells use regular or nearly regular polygonal cells to describe fields. For a given orography, some cells may be completely under the mountain, some completely above the mountain, and some are partially filled with air. While there are reports indicating considerably improved simulations with cut cells, inaccuracies may arise with some approximations, producing noise in fields near the surface. This behavior may depend strongly on the approximations made for the advection terms near the surface. This paper investigates the accuracy of advection for numerical schemes for a nondivergent flow near a mountain surface. The schemes use C-grid staggering with densities located at cell centers or on the corners of cells. Also, a nonconserving scheme is considered, which was used in the past with real-data cut-cell simulations. Since the cut cells near the surface create an irregular resolution, the accuracy and order of some approximations may break down near the surface. The objective of this paper i...