牛嫣静,彭新东,范广洲. 2018. GRAPES模式中三维科氏力计算及其效果评估[J]. 气象学报, 76(3):473-484, doi:10.11676/qxxb2018.003
GRAPES模式中三维科氏力计算及其效果评估
Impact of the three-dimensional Coriolis force in GRAPES model
投稿时间:2017-05-02  修订日期:2017-11-15
DOI:10.11676/qxxb2018.003
中文关键词:  科氏力  非静力模式  计算稳定性  误差
英文关键词:Coriolis force  Nonhydrostatic model  Computational stability  Error norm
基金项目:国家自然科学基金项目(41575103、91637210)、十二五科技支撑计划(2012BAC22B01)。
作者单位E-mail
牛嫣静 成都信息工程大学大气科学学院, 高原大气与环境四川省重点实验室, 成都, 610225  
彭新东 成都信息工程大学大气科学学院, 高原大气与环境四川省重点实验室, 成都, 610225
中国气象科学研究院, 灾害天气国家重点实验室, 北京, 100081 
pengxd@cma.gov.cn 
范广洲 成都信息工程大学大气科学学院, 高原大气与环境四川省重点实验室, 成都, 610225  
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中文摘要:
      作为一种连续可压缩流体,大气具有分层流体特性,其状态变化可由牛顿第二定律、热力学第一定律、连续方程和理想大气状态方程组成的偏微分方程组描述。为了更加精细地描述GRAPES全球模式的动力过程,使模式大气更接近真实大气,在全球非静力模式GRAPES中考虑三维科氏力作用,通过重新构建半隐式半拉格朗日求解大气动力方程组的亥姆霍兹方程系数,在不改变求解方案的前提下实现对GRAPES模式动力过程的更新。然后采用在静力平衡基础上建立的三维大气理想试验对新的动力过程进行数值试验,检验其计算效果和数值稳定性。结果显示,考虑三维科氏力的模式动力框架计算稳定,提高了三维标量和矢量场的计算精度,在水平1°×1°分辨率模式中,平衡流试验第15天计算结果标量场Π'的l1l2误差分别为0.00023和0.0004,而三维矢量场Vl1l2误差分别为0.002和0.003,均较原模式误差小一个数量级。在罗斯贝-豪威兹波、地形罗斯贝波和斜压波试验中,新框架均表现出很高的计算稳定性和良好的计算效果。
英文摘要:
      As a kind of continuous compressible fluid, the atmosphere shows stratified fluid characteristics. Changes in its state can be described with the partial differential equations composed of Newton's second law, the first law of thermodynamics, continuity equation and the state equation of ideal gas. In order to better describe dynamical processes in the atmosphere, three-dimensional (3D) Coriolis force is considered in the nonhydrostatic dynamic core of GRAPES model. Rearrangement of the coefficients for the Helmholtz equation induced from the semi-implicit semi-Lagrangian integration of the atmospheric dynamics makes the corresponding solving procedure the same as in the original model, and the dynamical process is successfully updated. A series of idealized 3D hydrostatic experiments were carried out to test the effect of the stability of the GRAPES dynamical core. Numerical results reveal that the integration of the model dynamic core with 3D Coriolis force is stable, and the full consideration of the Coriolis force improves the computational accuracy of the 3D scalar and vector prognostic quantities. In a 15-day integration of the model with a configuration of 1°×1° horizontal resolution, the l1 and l2 norms of the scalar Π' are 0.00023 and 0.0004, respectively, and those of the 3D wind vector are 0.002 and 0.003, respectively, one order less than the corresponding norms of the original model. The new frame also shows an excellent numerical stability and computational effect in the idealized Rossby-Haurwitz wave propagation, mountain-Rossby wave and baroclinic wave experiments.
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