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Impact of a Three-Dimensional Reference State in a Global Semi-Implicit Semi-Lagrangian Non-Hydrostatic Atmospheric Model on Yin–Yang Grids

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Journal of Meteorological Research 2024年第5期38卷 901-922页

作者： Yifan ZHAO Xindong PENG Dehui CHEN Yerong FENG Xiaohan LI Juan GU State Key Laboratory of Severe Weather Chinese Academy of Meteorological SciencesChina Meteorological AdministrationBeijing 100081 College of Earth and Planetary Sciences University of Chinese Academy of SciencesBeijing 100190 CMA Earth System Modeling and Prediction Centre China Meteorological Administration(CMA)Beijing 100081 Guangzhou Institute of Tropical and Marine Meteorology China Meteorological AdministrationGuangzhou 510640 College of Aviation Meteorology Civil Aviation Flight University of ChinaGuanghan 618307

The definition of a reference state close to the realistic atmosphere in an atmospheric model is essential for deriving prognostic deviations and improving numerical *** this study,a new dynamical framework allowing easy switching between a one-dimensional(1D)and a three-dimensional(3D)time-independent reference state is developed for the semi-implicit semi-Lagrangian solver in a global non-hydrostatic atmospheric model on Yin–Yang *** 3D reference state is introduced with consideration of additional horizontal gradient terms of referencestate terms,which is different from the 1D reference *** is characterized by reduced magnitude of deviations,more accurate pressure gradient force,as well as alleviated numerical *** idealized benchmark tests and multiple full-physics real-case forecasts are carried out to assess the impact of the 3D and 1D reference *** 3D reference state shows significant advantages in the simulation of atmospheric transport and wave propagation in the idealized *** the real-case forecasts,batched forecasts from June to August 2021 show a comprehensive improvement in medium-range prediction by using the 3D reference *** new scheme achieves an enhanced prediction skill for large-scale circulation and extends the effective forecast period by 0.8 days in the Northern Hemisphere.

关键词： semi-implicit semi-Lagrange three-dimensional reference state global non-hydrostatic atmospheric model linearized equation medium-range weather prediction

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DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR A FORWARD-BACKWARD HEAT equation

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Applied Mathematics(A Journal of Chinese Universities) 2005年第1期20卷 97-104页

作者： LiHong WeiXiaoxi Dept.ofMath. CollegeofSciencesandTechnologyInnerMongoliaUniversityHuhhot010021China

A space-time finite element method,discontinuous in time but continuous in space,is studied to solve the nonlinear forward-backward heat equation.A linearized technique is introduced in order to obtain the error estim... 详细信息

关键词： space-time finite element method linearized equation error estimate.

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