Implementation of variable time stepping in an ocean general circulation model |
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| Institution: | 1. School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, China;2. CAS Key Laboratory of Ocean Circulation and Waves, Institute of Oceanology, Chinese Academy of Sciences, Qingdao, China;3. School of Ocean and Earth Science, National Oceanography Centre, University of Southampton, European Way, Southampton, UK;4. University of Chinese Academy of Sciences, Beijing, China;5. CAS Engineering Laboratory for Marine Ranching, Institute of Oceanology, Chinese Academy of Sciences, Qingdao, China;1. School of Marine Sciences, Nanjing University of Information Science and Technology, Nanjing, China;2. Key Laboratory of Coastal Science and Integrated Management, First Institute of Oceanography, Ministry of Natural Resources, Qingdao, China;3. Tidal Flat Research Center of Jiangsu Province, Nanjing, China;4. School of Geographical Sciences, Nanjing University of Information Science and Technology, Nanjing, China |
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| Abstract: | Ocean general circulation models (OGCMs) which represent the governing equations on a finite difference grid require shorter time steps with increasing resolution. Thus, until now, in the absence of filtering, the time step length has been determined by the smallest grid spacing within the model domain. Here we present a method for reducing the time step length (and increasing the number of time steps taken) at selected points in the grid, so as to minimise the computational cost of integrating the OGCM, whilst achieving numerical stability throughout the model domain without filtering. This variable time stepping method can be used to overcome numerical constraints associated with the convergence of longitude–latitude grids at the poles, and also to allow efficient integration of model domains with variable resolution. Examples of the computational saving are given. |
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