Primitive-Equation-Based Low-Order Models with Seasonal Cycle. Part I: Model Construction
Primitive-Equation-Based Low-Order Models with Seasonal Cycle. Part I: Model Construction
复制标题
具有季节周期的基于原方程的低阶模型。
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
J. D. Opsteegh
中科院分区：
文献类型：
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作者：
U. Achatz;J. D. Opsteegh
摘要在对确定性简化大气模式紧致状态空间表示的研究的基础上，提出了两个主要的修正。首先，原始方程动力学被用来描述解决尺度之间的非线性相互作用。其次，季节性周期的主要方面被纳入。稳定性的考虑导致在动态核心的基本方程的网格点制定。如果表面压力在时间上被视为常数，则可以导出与方程一致的总能量度量。使用此度量，减少自由度的数量是通过投影到三维经验正交函数（EOFs），其中每个包含同时所有的预测变量（风和温度）。未解决的尺度和没有明确描述的物理过程的影响，通过经验线性参数化。根据3 σ模型确定了基本模式。
Abstract In a continuation of previous investigations on deterministic reduced atmosphere models with compact state space representation, two main modifications are introduced. First, primitive equation dynamics is used to describe the nonlinear interactions between resolved scales. Second, the seasonal cycle in its main aspects is incorporated. Stability considerations lead to a gridpoint formulation of the basic equations in the dynamical core. A total energy metric consistent with the equations can be derived, provided surface pressure is treated as constant in time. Using this metric, a reduction in the number of degrees of freedom is achieved by a projection onto three-dimensional empirical orthogonal functions (EOFs), each of them encompassing simultaneously all prognostic variables (winds and temperature). The impact of unresolved scales and not explicitly described physical processes is incorporated via an empirical linear parameterization. The basis patterns having been determined from 3 sigma le...