A 3D Nonhydrostatic Compressible Atmospheric Dynamic Core by Multi-moment Constrained Finite Volume Method  

作　　者：Qingchang QIN Xueshun SHEN Chungang CHEN Feng XIAO Yongjiu DAI Xingliang LI 

机构地区：[1]College of Global Change and Earth System Science, Beijing Normal University, Beijing 100875, China [2]Center of Numerical Weather Predication, China Meteorological Administration, Beijing 100081, China [3]State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, China [4]Department of Mechanical Engineering, Tokyo Institute of Technology, Tokyo 226-8502, Japan [5]School of Atmospheric Sciences, Sun Yat-Sen University, Guangzhou 510275, China [6]Beijing Meteorological Observatory, Beijing 100089, China

出　　处：《Advances in Atmospheric Sciences》2019年第10期1129-1142,共14页大气科学进展（英文版）

基　　金：supported by the National Key Research and Development Program of China (Grant Nos. 2017YFC1501901 and 2017YFA0603901);the Beijing Natural Science Foundation (Grant No. JQ18001)

摘　　要：A 3D compressible nonhydrostatic dynamic core based on a three-point multi-moment constrained finite-volume (MCV) method is developed by extending the previous 2D nonhydrostatic atmospheric dynamics to 3D on a terrainfollowing grid. The MCV algorithm defines two types of moments: the point-wise value (PV) and the volume-integrated average (VIA). The unknowns (PV values) are defined at the solution points within each cell and are updated through the time evolution formulations derived from the governing equations. Rigorous numerical conservation is ensured by a constraint on the VIA moment through the flux form formulation. The 3D atmospheric dynamic core reported in this paper is based on a three-point MCV method and has some advantages in comparison with other existing methods, such as uniform third-order accuracy, a compact stencil, and algorithmic simplicity. To check the performance of the 3D nonhydrostatic dynamic core, various benchmark test cases are performed. All the numerical results show that the present dynamic core is very competitive when compared to other existing advanced models, and thus lays the foundation for further developing global atmospheric models in the near future.A 3D compressible nonhydrostatic dynamic core based on a three-point multi-moment constrained finite-volume(MCV) method is developed by extending the previous 2D nonhydrostatic atmospheric dynamics to 3D on a terrainfollowing grid. The MCV algorithm defines two types of moments: the point-wise value(PV) and the volume-integrated average(VIA). The unknowns(PV values) are defined at the solution points within each cell and are updated through the time evolution formulations derived from the governing equations. Rigorous numerical conservation is ensured by a constraint on the VIA moment through the flux form formulation. The 3D atmospheric dynamic core reported in this paper is based on a three-point MCV method and has some advantages in comparison with other existing methods, such as uniform third-order accuracy, a compact stencil, and algorithmic simplicity. To check the performance of the 3D nonhydrostatic dynamic core, various benchmark test cases are performed. All the numerical results show that the present dynamic core is very competitive when compared to other existing advanced models, and thus lays the foundation for further developing global atmospheric models in the near future.

关 键 词：multi-moment CONSTRAINED FINITE-VOLUME method NONHYDROSTATIC dynamic core topography height-based terrain-following coordinate 

分 类 号：O4[理学—物理]