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Volume 23 Issue 5

Sep.  2006

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Article >  ADVANCES IN ATMOSPHERIC SCIENCES  > 2006 >  23(5): 792-801

Implementation of the Semi-Lagrangian Advection Scheme on a Quasi-Uniform Overset Grid on a Sphere

  • 1.

    Nanjing University of Information Science and Technology, Nanjing 210044, State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, Beijing 100081,State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, Beijing 100081,Earth Simulator Center, Japan Agency for Marine-earth Science and Technology, Yokohama, Japan,State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, Beijing 100081, Tokyo Institute of Technology, Yokohama, Japan,Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029


doi: 10.1007/s00376-006-0792-9

  • 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.
  • [1] LI Xingliang, SHEN Xueshun, PENG Xindong, XIAO Feng, ZHUANG Zhaorong, CHEN Chungang, 2013: An Accurate Multimoment Constrained Finite Volume Transport Model on Yin-Yang Grids, ADVANCES IN ATMOSPHERIC SCIENCES, 30, 1320-1330.  doi: 10.1007/s00376-013-2217-x
    [2] PENG Xindong, CHANG Yan, LI Xingliang, XIAO Feng, 2010: Application of the Characteristic CIP Method to a Shallow Water Model on the Sphere, ADVANCES IN ATMOSPHERIC SCIENCES, 27, 728-740.  doi: 10.1007/s00376-009-9148-6
    [3] LI Xiaohan, PENG Xindong, LI Xingliang, 2015: An Improved Dynamic Core for a Non-hydrostatic Model System on the Yin-Yang Grid, ADVANCES IN ATMOSPHERIC SCIENCES, 32, 648-658.  doi: 10.1007/s00376-014-4120-5
    [4] Li Yang, Mu Mu, 1996: On the Nonlinear Stability of Three-Dimensional Quasigeostrophic Motions in Spherical Geometry, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 203-216.  doi: 10.1007/BF02656863
    [5] Chen Jiabin, Wang Jun, 1996: Studies on Non-interpolating Semi-Lagrangian Scheme and Numerical Solution to KdV Equation, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 265-268.  doi: 10.1007/BF02656869
    [6] WANG Xiaocong, LIU Yimin, WU Guoxiong, Shian-Jiann LIN, BAO Qing, 2013: The Application of Flux-Form Semi-Lagrangian Transport Scheme in a Spectral Atmosphere Model, ADVANCES IN ATMOSPHERIC SCIENCES, 30, 89-100.  doi: 10.1007/s00376-012-2039-2
    [7] HUANG Bo, CHEN Dehui, LI Xingliang, LI Chao, , 2014: Improvement of the Semi-Lagrangian Advection Scheme in the GRAPES Model: Theoretical Analysis and Idealized Tests, ADVANCES IN ATMOSPHERIC SCIENCES, 31, 693-704.  doi: 10.1007/s00376-013-3086-z
    [8] Lucas HARRIS, 2021: A New Semi-Lagrangian Finite Volume Advection Scheme Combines the Best of Both Worlds, ADVANCES IN ATMOSPHERIC SCIENCES, 38, 1608-1609.  doi: 10.1007/s00376-021-1181-0
    [9] Wang Yunfeng, Wu Rongsheng, Wang Yuan, Pan Yinong, 1999: Application of Variational Algorithms in Semi-Lagrangian Framework, ADVANCES IN ATMOSPHERIC SCIENCES, 16, 419-430.  doi: 10.1007/s00376-999-0020-5
    [10] Yi ZHANG, Rucong YU, Jian LI, 2017: Implementation of a Conservative Two-step Shape-Preserving Advection Scheme on a Spherical Icosahedral Hexagonal Geodesic Grid, ADVANCES IN ATMOSPHERIC SCIENCES, 34, 411-427.  doi: 10.1007/s00376-016-6097-8
    [11] Jie TANG, Chungang CHEN, Xueshun SHEN, Feng XIAO, Xingliang LI, 2021: A Positivity-preserving Conservative Semi-Lagrangian Multi-moment Global Transport Model on the Cubed Sphere, ADVANCES IN ATMOSPHERIC SCIENCES, 38, 1460-1473.  doi: 10.1007/s00376-021-0393-7
    [12] Yu Rucong, 1995: Application of a Shape-Preserving Advection Scheme to the Moisture Equation in an E-grid Regional Forecast Model, ADVANCES IN ATMOSPHERIC SCIENCES, 12, 13-19.  doi: 10.1007/BF02661283
    [13] Jinhe YU, Lei BI, Wei HAN, Xiaoye ZHANG, 2022: Application of a Neural Network to Store and Compute the Optical Properties of Non-Spherical Particles, ADVANCES IN ATMOSPHERIC SCIENCES, 39, 2024-2039.  doi: 10.1007/s00376-021-1375-5
    [14] LIU Shuhua, YUE Xu, HU Fei, LIU Huizhi, 2004: Using a Modified Soil-Plant-Atmosphere Scheme (MSPAS) to Simulate the Interaction between Land Surface Processes and Atmospheric Boundary Layer in Semi-Arid Regions, ADVANCES IN ATMOSPHERIC SCIENCES, 21, 245-259.  doi: 10.1007/BF02915711
    [15] Rudklao Manonom, Lei Xiaoen, Prungchan Wongwises, 2000: A New Lagrangian-Eulerian Coupling Model System, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 587-600.  doi: 10.1007/s00376-000-0022-9
    [16] Syed Faizan Haider, K. H. Asif, Amjad Hussain Gilani, 1992: Weather Yield Model for the Semi Tropical Region (Pakistan), ADVANCES IN ATMOSPHERIC SCIENCES, 9, 367-372.  doi: 10.1007/BF02656947
    [17] WANG Chengxin, GAO Shouting, RAN Lingkun, LIANG Li, 2015: Proof of the Monotonicity of Grid Size and Its Application in Grid-Size Selection for Mesoscale Models, ADVANCES IN ATMOSPHERIC SCIENCES, 32, 1005-1015.  doi: 10.1007/s00376-014-4091-6
    [18] Xiang SONG, Xiaodong ZENG, Jiawen ZHU, Pu SHAO, 2016: Development of an Establishment Scheme for a DGVM, ADVANCES IN ATMOSPHERIC SCIENCES, 33, 829-840.  doi: 10.1007/s00376-016-5284-y
    [19] Kang Hongwen, Gu Xiangqian, Liu Chongjian, Wang Pengyun, 2002: Adaptive Grid Technique Based on the Variational Principle and Its Weight Functions, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 705-718.  doi: 10.1007/s00376-002-0010-3
    [20] Haochen LI, Chen YU, Jiangjiang XIA, Yingchun WANG, Jiang ZHU, Pingwen ZHANG, 2019: A Model Output Machine Learning Method for Grid Temperature Forecasts in the Beijing Area, ADVANCES IN ATMOSPHERIC SCIENCES, 36, 1156-1170.  doi: 10.1007/s00376-019-9023-z
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    • Manuscript History

    Manuscript received: 10 September 2006
    Manuscript revised: 10 September 2006
    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

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    Implementation of the Semi-Lagrangian Advection Scheme on a Quasi-Uniform Overset Grid on a Sphere

    • 1. Nanjing University of Information Science and Technology, Nanjing 210044, State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, Beijing 100081,State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, Beijing 100081,Earth Simulator Center, Japan Agency for Marine-earth Science and Technology, Yokohama, Japan,State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, Beijing 100081, Tokyo Institute of Technology, Yokohama, Japan,Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029
    • Manuscript received: 2006-09-10
    • Manuscript revised: 2006-09-10

    Abstract: 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.

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