Advanced Search
Impact Factor: 5.8
Article Contents
Article >  ADVANCES IN ATMOSPHERIC SCIENCES  > 2023 > Accepted Manuscript

A long-time-step-permitting tracer transport model on the regular latitude-longitude grid

  • CMA Earth System Modeling and Prediction Centre, China Meteorological Administration

  • Institute of Atmospheric Physics Chinese Academy of Sciences


doi:  10.1007/s00376-023-2270-z

  • If an explicit time scheme is used in a numerical model, the size of the integration time step is typically limited by the spatial resolution. This study develops a regular latitude–longitude grid-based global three-dimensional tracer transport model that is computationally stable at large time-step sizes. The tracer model employs a finite-volume flux-form semi-Lagrangian (FFSL) transport scheme in the horizontal and an adaptively implicit algorithm in the vertical. The horizontal and vertical solvers are coupled via a straightforward operator-splitting technique. Both the finite-volume scheme’s one-dimensional slope-limiter and the adaptively implicit vertical solver’s first-order upwind scheme enforce monotonicity. The tracer model permits a large time-step size and is inherently conservative and monotonic. Idealized advection test cases demonstrate that the three-dimensional transport model performs very well in terms of accuracy, stability, and efficiency. It is possible to use this robust transport model in a global atmospheric dynamical core.
  • [1] ZHANG Kai, WAN Hui, WANG Bin, ZHANG Meigen, 2008: Consistency Problem with Tracer Advection in the Atmospheric Model GAMIL, ADVANCES IN ATMOSPHERIC SCIENCES, 25, 306-318.  doi: 10.1007/s00376-008-0306-z
    [2] Steinar ORRE, Yongqi GAO, Helge DRANGE, Eric DELEERSNIJDER, 2008: Diagnosing Ocean Tracer Transport from Sellafield and Dounreay by Equivalent Diffusion and Age, ADVANCES IN ATMOSPHERIC SCIENCES, 25, 805-814.  doi: 10.1007/s00376-008-0805-y
    [3] Liu Ruizhi, 1985: NUMERICAL EXPERIMENT OF SIX-LEVEL IMPLICIT PRIMITIVE MODEL, ADVANCES IN ATMOSPHERIC SCIENCES, 2, 178-188.  doi: 10.1007/BF03179750
    [4] LI Qian, SUN Shufen, DAI Qiudan, 2009: The Numerical Scheme Development of a Simplified Frozen Soil Model, ADVANCES IN ATMOSPHERIC SCIENCES, 26, 940-950.  doi: 10.1007/s00376-009-7174-z
    [5] 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
    [6] HU Yongyun, 2007: Probability Distribution Function of a Forced Passive Tracer in the Lower Stratosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 24, 163-180.  doi: 10.1007/s00376-007-0163-1
    [7] 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
    [8] LI Xingliang, CHEN Dehui, PENG Xindong, XIAO Feng, CHEN Xiongshan, 2006: Implementation of the Semi-Lagrangian Advection Scheme on a Quasi-Uniform Overset Grid on a Sphere, ADVANCES IN ATMOSPHERIC SCIENCES, 23, 792-801.  doi: 10.1007/s00376-006-0792-9
    [9] 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
    [10] LI Mingwei, WANG Yuxuan*, and JU Weimin, 2014: Effects of a Remotely Sensed Land Cover Dataset with High Spatial Resolution on the Simulation of Secondary Air Pollutants over China Using the Nested-grid GEOS-Chem Chemical Transport Model, ADVANCES IN ATMOSPHERIC SCIENCES, 31, 179-187.  doi: 10.1007/s00376-013-2290-1
    [11] 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
    [12] WANG Weiwen, WANG Dongxiao, ZHOU Wen, LIU Qinyan, YU Yongqiang, LI Chao, 2011: Impact of the South China Sea Throughflow on the Pacific Low-Latitude Western Boundary Current: A Numerical Study for Seasonal and Interannual Time Scales, ADVANCES IN ATMOSPHERIC SCIENCES, 28, 1367-1376.  doi: 10.1007/s00376-011-0142-4
    [13] He Jianzhong, 1994: Nonlinear Ultra-Long Wave and Its Stability, ADVANCES IN ATMOSPHERIC SCIENCES, 11, 91-100.  doi: 10.1007/BF02656998
    [14] NIU Shengjie, ZHAO Lijuan, LU Chunsong, YANG Jun, WANG Jing, WANG Weiwei, 2012: Observational Evidence for the Monin-Obukhov Similarity under All Stability Conditions, ADVANCES IN ATMOSPHERIC SCIENCES, 29, 285-294.  doi: 10.1007/s00376-011-1112-6
    [15] Lin Wantao, Ji Zhongzhen, Wang Bin, 2001: Computational Stability of the Explicit Difference Schemes of the Forced Dissipative Nonlinear Evolution Equations, ADVANCES IN ATMOSPHERIC SCIENCES, 18, 413-417.  doi: 10.1007/BF02919320
    [16] Lin Wantao, Ji Zhongzhen, Wang Bin, 2002: A Comparative Analysis of Computational Stability for Linear and Non-Linear Evolution Equations, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 699-704.  doi: 10.1007/s00376-002-0009-9
    [17] Li Yang, Mu Mu, Wu Yonghui, 2000: A Study on the Nonlinear Stability of Fronts in the Ocean on a Sloping Continental Shelf, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 275-284.  doi: 10.1007/s00376-000-0009-6
    [18] Mu Mu, Guo Huan, Wang Jiafeng, LiYong, 2000: The Impact of Nonlinear Stability and Instability on the Validity of the Tangent Linear Model, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 375-390.  doi: 10.1007/s00376-000-0030-9
    [19] LIU Yongming, CAI Jingjing, 2006: On Nonlinear Stability Theorems of 3D Quasi-geostrophic Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 23, 809-814.  doi: 10.1007/s00376-006-0809-4
    [20] Mu Mu, Zeng Qingcun, 1991: Criteria for the Nonlinear Stability of Three-Dimensional Quasi-Geostrophic Motions, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 1-10.  doi: 10.1007/BF02657360
PDF

Get Citation+

shu
Export:  

Share Article

Article Metrics

Article Views: 274 Times

PDF downloads: 31 Times

Cited by: Times
  • 加载中

    • Manuscript History

    Manuscript received: 22 February 2023
    Manuscript revised: 29 June 2023
    Manuscript accepted: 03 July 2023
    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

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    A long-time-step-permitting tracer transport model on the regular latitude-longitude grid

    • Manuscript received: 2023-02-22
    • Manuscript revised: 2023-06-29
    • Manuscript accepted: 2023-07-03

    Abstract: If an explicit time scheme is used in a numerical model, the size of the integration time step is typically limited by the spatial resolution. This study develops a regular latitude–longitude grid-based global three-dimensional tracer transport model that is computationally stable at large time-step sizes. The tracer model employs a finite-volume flux-form semi-Lagrangian (FFSL) transport scheme in the horizontal and an adaptively implicit algorithm in the vertical. The horizontal and vertical solvers are coupled via a straightforward operator-splitting technique. Both the finite-volume scheme’s one-dimensional slope-limiter and the adaptively implicit vertical solver’s first-order upwind scheme enforce monotonicity. The tracer model permits a large time-step size and is inherently conservative and monotonic. Idealized advection test cases demonstrate that the three-dimensional transport model performs very well in terms of accuracy, stability, and efficiency. It is possible to use this robust transport model in a global atmospheric dynamical core.

      HTML

    Catalog

      Publish with AAS

      Contact us

      Links

      Copyright © 2018-2028 ADVANCES IN ATMOSPHERIC SCIENCES 京ICP备14024088号-7

      Supported by: Beijing Renhe Information Technology Co. Ltd  support: info@rhhz.net  

      /

      DownLoad:  Full-Size Img  PowerPoint
      Return
      Return