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1.
Implementation of the Semi-Lagrangian Advection Scheme on a Quasi-Uniform Overset Grid on a Sphere 总被引：4，自引：0，他引：4
The semi-Lagrangian advection scheme is implemented on a new quasi-uniform overset （Yin-Yang） grid on the sphere. The Yin-Yang grid is a newly developed grid system in spherical geometry with two perpendicularly-oriented latitude-longitude grid components （called Yin and Yang respectively） that overlapp each other, and this effectively avoids the coordinate singularity and the grid convergence near the poles. In this overset grid, the way of transferring data between the Yin and Yang components is the key to maintaining the accuracy and robustness in numerical solutions. A numerical interpolation for boundary data exchange, which maintains the accuracy of the original advection scheme and is computationally efficient, is given in this paper. A standard test of the solid-body advection proposed by Williamson is carried out on the Yin-Yang grid. Numerical results show that the quasi-uniform Yin-Yang grid can get around the problems near the poles, and the numerical accuracy in the original semi-Lagrangian scheme is effectively maintained in the Yin-Yang grid. 相似文献
2.
A global transport model is proposed in which a multimoment constrained finite volume (MCV) scheme is applied to a Yin-Yang overset grid. The MCV scheme defines 16 degrees of freedom (DOFs) within each element to build a 2D cubic reconstruction polynomial. The time evolution equations for DOFs are derived from constraint conditions on moments of line-integrated averages (LIA), point values (PV), and values of first-order derivatives (DV). The Yin-Yang grid eliminates polar singularities and results in a quasi-uniform mesh. A limiting projection is designed to remove nonphysical oscillations around discontinuities. Our model was tested against widely used benchmarks; the competitive results reveal that the model is accurate and promising for developing general circulation models. 相似文献
3.
为改善球面经纬度网格在高分辨率应用的苛刻限制,提高全球大气动力模式的时间积分效率,选取以阴阳网格为基础构建通量型非静力大气模式动力框架,采用有限体积法和通量型平流显式算法积分方案,保证模式的守恒计算性能。该动力框架在标准三维大气理想试验中进行了中期积分试验,对动力框架的计算效果、性能进行检验。在三维平衡流试验,罗斯贝-豪威茨波试验和山脉罗斯贝波试验中均表现出很好的稳定性和三维计算效果,其中水平2.5°分辨率模式的平衡流垂直速度误差为10-5量级,而经向速度误差在10-2量级,罗斯贝-豪威茨波保持基本波形稳定传播,而地形罗斯贝波试验则给出背风坡激发低槽在发展过程中不断向下游和南半球传播。 相似文献
4.
Semi-implicit algorithms are popularly used to deal with the gravitational
term in numerical models. In this paper, we adopt the method of
characteristics to compute the solutions for gravity waves on a sphere
directly using a semi-Lagrangian advection scheme instead of the
semi-implicit method in a shallow water model, to avoid expensive matrix
inversions. Adoption of the semi-Lagrangian scheme renders the numerical
model always stable for any Courant number, and which saves CPU time. To
illustrate the efficiency of the characteristic constrained interpolation
profile (CIP) method, some numerical results are shown for idealized test
cases on a sphere in the Yin-Yang grid system. 相似文献
5.
阴阳网格上质量守恒计算性能分析 总被引：3，自引：1，他引：2
质量守恒数值计算是球面准均匀阴阳网格构造全球大气环流模式的重要条件,也是提高阴阳网格应用质量的重要技术手段。本文针对通量形式平流方程,在球面坐标上采用多种理想数值试验对阴阳网格上的三种守恒计算方案和边界插值非守恒计算方案进行了比较检验。发现,质量守恒方案不仅对全球数值积分重要,还影响数值计算精度,满足局地守恒条件的全球强迫守恒方法可以获得较高的精度;网格内质量均匀分布的阴阳网格边界通量一致性守恒强迫计算方案,实现了在不增加计算误差条件下保证局地和全球守恒的目的,且具有很小的计算负担,可以作为阴阳网格上全球质量强迫守恒的有效计算方案;而网格质量的线性分布可以有效提高阴阳网格的数值积分计算精度,但在一定程度上会增加计算负担。 相似文献
6.
阴阳网格上的质量守恒算法对于阴阳网格在全球模式构建和应用具有重要意义,是模式长期稳定积分和保证计算效果的重要性能指标。本研究在已有的质量均匀分布假定下阴阳网格守恒强迫算法的基础上,构建网格内质量的双线性分布和边界通量线性分布的质量守恒强迫算法,以提高阴阳网格平流计算的精度和模式积分的稳定性。运用CIP-CSLR平流方案对通量形式平流方程数值求解,分别通过"余弦钟"平流试验、正弦波试验和变形流试验对质量双线性分布、边界通量线性分布的新方案与质量和通量均匀分布的原方案进行了对比,标准化误差和标量场分布均表明新方案可有效提高阴阳网格守恒算法的计算效果,且计算负担没有明显增加,具有较好的实用价值。 相似文献
7.
The global three-dimensional variational (3D-Var) data assimilation is implemented on a new quasi-uniform overset (Yin-Yang) grid on sphere. As a quasi-uniform spherical grid, it covers the sphere by overlapping two perpendicularly oriented grid components which is nothing but low latitude region of the usual latitude-longitude grid. Based on this characteristic of the Yin-Yang grid, it enables us to implement the regional 3D-Var system efficiently and accurately on the Yin or Yang component grid, respectively. The global analysis could update directly from the regional analysis since they have the same configurations like the precondition of eigenvalue decomposition for vertical direction, recursive filtering for horizontal direction, minimization method and observation operator and so on. However, the balance equation and vector wind are needed to be paid more attention on the Yin grid analysis due to its coordinate transformation. How to spread the observation information near the boundary of Yin and Yang grid is a key to the 3D- Var analysis. Extending double the horizontal correlation length distance in the overset boundary of Yin and Yang grid has successfully solved the problem. The results show that the analysis on the Yin-Yang grid is reasonable and similar to the result on the latitude-longitude (LAT-LON) grid. This paper provides a promising strategy for the development of a 3D-Var global system for overset grids. 相似文献
8.
GRAPES_YY模式发展及其对梅雨锋降水模拟的性能检验 总被引：1，自引：0，他引：1
GRAPES_YY是在球面准均匀阴阳网格动力框架基础上发展起来的全球非静力模式，目前已耦合全套物理过程参数化方案，具备了中期天气预报能力。为了解模式对环流和降水的实际预报效果，检验模式对多尺度天气系统的预报能力和误差分布特征，以ERA-interim资料和逐时地面融合降水产品为参考，对1个月（2018年6月中旬—7月中旬）批量试验结果和一次长江流域梅雨个例（7月4—7日）模拟结果进行分析。结果表明:在改进上边界条件基础上，模式有较好的稳定性，短期预报时效内对全球环流和降水刻画准确，模式24 h累计降水纬向平均成功再现了低纬度和中纬度地区的两个降水峰值，但对低纬度对流性降水和中纬度格点尺度降水预报偏强。其次，模式成功模拟出7月4—6日中国东部梅雨雨带位置、走向及南北摆动，整体上能正确反映主要天气系统的移动演变，但受分辨率限制以及湿物理过程影响，暴雨以上量级降水还存在强度预报偏弱、位置偏北的问题。GRAPES_YY模式模拟结果基本合理可信，对中低纬度梅雨锋降水的预报能力较GRAPES_GFS略有改善。 相似文献
9.
A 3D dynamic core of the non-hydrostatic model GRAPES(Global/Regional Assimilation and Prediction System) is developed on the Yin-Yang grid to address the polar problem and to enhance the computational efficiency. Three-dimensional Coriolis forcing is introduced to the new core, and full representation of the Coriolis forcing makes it straightforward to share code between the Yin and Yang subdomains. Similar to that in the original GRAPES model, a semi-implicit semi-Lagrangian scheme is adopted for temporal integration and advection with additional arrangement for cross-boundary transport. Under a non-centered second-order temporal and spatial discretization, the dry nonhydrostatic frame is summarized as the solution of an elliptical problem. The resulting Helmholtz equation is solved with the Generalized Conjugate Residual solver in cooperation with the classic Schwarz method. Even though the coefficients of the equation are quite different from those in the original model, the computational procedure of the new core is just the same. The bi-cubic Lagrangian interpolation serves to provide Dirichlet-type boundary conditions with data transfer between the subdomains. The dry core is evaluated with several benchmark test cases, and all the tests display reasonable numerical stability and computing performance. Persistency of the balanced flow and development of both the mountain-induced Rossby wave and Rossby–Haurwitz wave confirms the appropriate installation of the 3D Coriolis terms in the semi-implicit semi-Lagrangian dynamic core on the Yin-Yang grid. 相似文献
10.
Designed for grid point systems, the traditional semi-Lagrangian semi-implicit scheme is not mass-conserving and can lead to significant solution errors. In the present study, a finite-volume semi-Lagrangian semi-implicit scheme (hereafter “FVSLSI”) is designed for the Yin-Yang mesh and tested in a barotropic shallow water model in the spherical coordinate system. Three test cases, i.e. the advection of a solid body, a steady state nonlinear zonal geostrophic flow and the deformation flow, are simulated to compare the performance of the FVSLSI with that of the traditional semi-Lagrangian scheme (hereafter “SL”) from perspectives of shape preservation, mass conservation, normalized bias, and convergence rate. Results indicate that the FVSLSI performs better than the SL in mass conservation and shape preservation. The bias by the FVSLSI is smaller than that by the SL, while the rate of convergence by the FVSLSI is larger than that by the SL. The FVSLSI also allows large time step. Therefore, the FVSLSI is suggested to be distributed to communities that are developing atmospheric/oceanic models. 相似文献