doi:  10.3878/j.issn.1006-9895.1707.16164
建立η坐标系下的假不可压模式及其数值试验

Establishing the pseudo-incompressible model in the η coordinate and its numerical experiments
摘要点击 560  全文点击 37  投稿时间:2016-04-18  修订日期:2017-05-16
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基金:  国家重点基础研究发展计划 2014CB441403
中文关键词:  滞弹性模式, 假不可压模式, 完全可压模式
英文关键词:  anelastic model  “pseudo-incompressible” model  compressible model
     
作者中文名作者英文名单位
胡文豪HU Wenhao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;中国科学院大气物理研究所云降水物理与强风暴重点实验室,北京 100029
孙继明SUN Jiming中国科学院大气物理研究所云降水物理与强风暴重点实验室,北京 100029;中国科学院大学,北京 100049;南京信息工程大学大气物理学院/气象灾害预报预警与评估协同创新中心,南京 210044
引用:胡文豪,孙继明.2018.建立η坐标系下的假不可压模式及其数值试验[J].大气科学
Citation:HU Wenhao,SUN Jiming.2018.Establishing the pseudo-incompressible model in the η coordinate and its numerical experiments[J].Chinese Journal of Atmospheric Sciences (in Chinese)
中文摘要:
      滤除声波的大气运动方程中不包含声波,基于滤除声波方程建立的数值模式可以用较大的时间步长进行数值积分。Durran在1989年提出了一种新的滤除声波的方法,命名为“假不可压”方程,该方程考虑了温度扰动引起的密度变化,忽略了气压扰动引起的密度变化。本文根据Durran提出的假不可压理论,推导出了一组地形追随坐标下的通量形式的假不可压方程。该方程在形式上与Weather Research and Forecasting Model(WRF)中Advanced Research WRF(ARW)的控制方程非常接近。我们进一步将推导出的假不可压控制方程改写到了WRF中,建立了基于WRF框架的假不可压模式。随后,用假不可压模式和WRF做了两组对比试验:湿热泡对流试验和重力流试验。比较两种模式的模拟结果,可以看出假不可压模式的模拟结果与WRF的模拟结果非常接近,说明我们在WRF框架下建立的假不可压模式是合理可信的。
Abstract:
      Soundproof equations do not contain acoutic waves, thus numerical models based on soundproof equations can use relatively lager timesteps for numerical integration. Durran came up with a new method to eliminate acoustic waves in 1989 and named it “pseudo-incompressible” equations which retain the air density variations caused by temperature perturbations and ignore the density variations caused by pressure perturbations. In this paper, we followed the pseudo-incompressible theory and derived a set of flux-form pseudo-incompressible equations in the terrain-following coordinate. And the form of the set of equations we derived is quite similar with those of the equations in Advanced Research WRF(ARW) in the Weather Research and Forecasting Model(WRF). We further modified the code of WRF according to the flux-form pseudo-incompressible equations, thus established the “pseudo-incompressible model” based on the frame of WRF. Then we conducted two set of numerical experiments experiments using the pseudo-incompressible model and WRF: heat-bubble convection experiment and gravity current experiment. Comparing the results of the simulations, we found that the meteorological fields simulated by the pseudo-incompressible model are quite close with those by the WRF, indicating that the pseudo-incompressible model we built within the frame of WRF is reliable.
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