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Volume 6 Issue 3

Jul.  1989

Article Contents

Atmosphere-Ocean Coupling Schemes in a One-Dimensional Climate Model


doi: 10.1007/BF02661534

  • In this paper, the coupling schemes of atmosphere-ocean climate models are discussed with one-dimensional advection equations. The convergence and stability for synchronous and asynchronous schemes are demonstrated and compared.Conclusions inferred from the analysis are given below. The synchronous scheme as well as the asynchronous-implicit scheme in this model are stable for arbitrary integrating time intervals. The asynchronous ex-plicit scheme is unstable under certain conditions, which depend upon advection velocities and heat exchange parameters in the atmosphere and oceans. With both synchronous and asynchronous stable schemes the discrete solu-tions converge, to their unique exact ones. Advections in the atmosphere and ocean accelerate the rate of convergence of the asynchronous-implicit scheme. It is suggested that the asynchronous-implicit coupling scheme is a stable and efficient method for most climatic simulations.
  • [1] JIN Ling, Fanyou KONG, LEI Hengchi*, and HU Zhaoxia, 2014: A Methodological Study on Using Weather Research and Forecasting (WRF) Model Outputs to Drive a One-Dimensional Cloud Model, ADVANCES IN ATMOSPHERIC SCIENCES, 31, 230-240.  doi: 10.1007/s00376-013-2257-2
    [2] Wang Guiqin, 1990: Simulation of the Influence of Ion-Produced NOX and HOX Radicals on the Antarctic Ozone Depletion with a One-Dimensional Model, ADVANCES IN ATMOSPHERIC SCIENCES, 7, 98-103.  doi: 10.1007/BF02919172
    [3] LI Chun, WU Lixin, 2013: Dynamic Linkage between the North Pacific and the Tropical Pacific: Atmosphere-Ocean Coupling, ADVANCES IN ATMOSPHERIC SCIENCES, 30, 306-314.  doi: 10.1007/s00376-012-2023-x
    [4] Xinrong WU, Shaoqing ZHANG, Zhengyu LIU, 2016: Implementation of a One-Dimensional Enthalpy Sea-Ice Model in a Simple Pycnocline Prediction Model for Sea-Ice Data Assimilation Studies, ADVANCES IN ATMOSPHERIC SCIENCES, 33, 193-207.  doi: 10.1007/s00376-015-5099-2
    [5] Zhou Guangqing, Zeng Qingcun, 2001: Predictions of ENSO with a Coupled Atmosphere-Ocean General Circulation Model, ADVANCES IN ATMOSPHERIC SCIENCES, 18, 587-603.  doi: 10.1007/s00376-001-0047-8
    [6] BUHE Cholaw, Ulrich CUBASCH, LIN Yonghui, JI Liren, 2003: The Change of North China Climate in Transient Simulations Using the IPCC SRES A2 and B2 Scenarios with a Coupled Atmosphere-Ocean General Circulation Model, ADVANCES IN ATMOSPHERIC SCIENCES, 20, 755-766.  doi: 10.1007/BF02915400
    [7] Liu Hui, Jin Xiangze, Zhang Xuehong, Wu Guoxiong, 1996: A Coupling Experiment of an Atmosphere and an Ocean Model with a Monthly Anomaly Exchange Schem, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 133-146.  doi: 10.1007/BF02656857
    [8] Shaowu BAO, Lian XIE, Sethu RAMAN, 2004: A Numerical Study of a TOGA-COARE Squall-Line Using a Coupled Mesoscale Atmosphere-Ocean Model, ADVANCES IN ATMOSPHERIC SCIENCES, 21, 708-716.  doi: 10.1007/BF02916368
    [9] LIAO Zhijie, ZHANG Yaocun, 2013: Simulation of a Persistent Snow Storm over Southern China with a Regional Atmosphere-Ocean Coupled Model, ADVANCES IN ATMOSPHERIC SCIENCES, 30, 425-447.  doi: 10.1007/s00376-012-2098-4
    [10] Peng Yongqing, Zhu Yufeng, Yan Shaojin, 1994: Preliminary Study of Reconstruction of a Dynamic System Using an One-Dimensional Time Series, ADVANCES IN ATMOSPHERIC SCIENCES, 11, 277-284.  doi: 10.1007/BF02658146
    [11] Yan Shaojin, Peng Yongqing, Wang Jianzhong, 1991: Determination of Kolmogorov Entropy of Chaotic Attractor Included in One-Dimensional Time Series of Meteorological Data, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 243-250.  doi: 10.1007/BF02658098
    [12] Qiumeng XUE, Li GUAN, Xiaoning SHI, 2022: One-Dimensional Variational Retrieval of Temperature and Humidity Profiles from the FY4A GIIRS, ADVANCES IN ATMOSPHERIC SCIENCES, 39, 471-486.  doi: 10.1007/s00376-021-1032-z
    [13] Yu Yongqiang, Guo Yufu, 1995: The Interannual Variability of Climate in a Coupled Ocean-Atmosphere Model, ADVANCES IN ATMOSPHERIC SCIENCES, 12, 273-288.  doi: 10.1007/BF02656977
    [14] SHI Chong, WANG Pucai, Teruyuki NAKAJIMA, Yoshifumi OTA, TAN Saichun, SHI Guangyu, 2015: Effects of Ocean Particles on the Upwelling Radiance and Polarized Radiance in the Atmosphere-Ocean System, ADVANCES IN ATMOSPHERIC SCIENCES, 32, 1186-1196.  doi: 10.1007/s00376-015-4222-8
    [15] FENG Lin, WU Dexing, LIN Xiaopei, MENG Xiangfeng, 2010: The Effect of Regional Ocean-Atmosphere Coupling on the Long-term Variability in the Pacific Ocean, ADVANCES IN ATMOSPHERIC SCIENCES, 27, 393-402.  doi: 10.1007/s00376-009-8195-3
    [16] Wang Huijun, 2000: The Interannual Variability of East Asian Monsoon and Its Relationship with SST in a Coupled Atmosphere-Ocean-Land Climate Model, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 31-47.  doi: 10.1007/s00376-000-0041-6
    [17] ZHI Hai, WANG Panxing, DAN Li, YU Yongqiang, XU Yongfu, ZHENG Weipeng, 2009: Climate-Vegetation Interannual Variability in a Coupled Atmosphere-Ocean-Land Model, ADVANCES IN ATMOSPHERIC SCIENCES, 26, 599-612.  doi: 10.1007/s00376-009-0599-6
    [18] LIU Zhengyu, WU Shu, ZHANG Shaoqing, LIU Yun, RONG Xinyao, , 2013: Ensemble Data Assimilation in a Simple Coupled Climate Model: The Role of Ocean-Atmosphere Interaction, ADVANCES IN ATMOSPHERIC SCIENCES, 30, 1235-1248.  doi: 10.1007/s00376-013-2268-z
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    [20] Yongkang Xue, 1991: A Two-Dimensional Coupled Biosphere-Atmosphere Model and Its Application, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 447-458.  doi: 10.1007/BF02919267

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Manuscript History

Manuscript received: 10 July 1989
Manuscript revised: 10 July 1989
通讯作者: 陈斌, bchen63@163.com
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Atmosphere-Ocean Coupling Schemes in a One-Dimensional Climate Model

  • 1. Institute of Atmospheric Physics, Academia Sinica, Beijing 100011

Abstract: In this paper, the coupling schemes of atmosphere-ocean climate models are discussed with one-dimensional advection equations. The convergence and stability for synchronous and asynchronous schemes are demonstrated and compared.Conclusions inferred from the analysis are given below. The synchronous scheme as well as the asynchronous-implicit scheme in this model are stable for arbitrary integrating time intervals. The asynchronous ex-plicit scheme is unstable under certain conditions, which depend upon advection velocities and heat exchange parameters in the atmosphere and oceans. With both synchronous and asynchronous stable schemes the discrete solu-tions converge, to their unique exact ones. Advections in the atmosphere and ocean accelerate the rate of convergence of the asynchronous-implicit scheme. It is suggested that the asynchronous-implicit coupling scheme is a stable and efficient method for most climatic simulations.

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