Precipitating Quasigeostrophic Equations and Potential Vorticity Inversion with Phase Changes

Precipitating Quasigeostrophic Equations and Potential Vorticity Inversion with Phase Changes
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沉淀准地转方程和相变位涡反演

DOI:
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发表时间:
2017
期刊:
影响因子:
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通讯作者:
S. Stechmann
S. Stechmann
中科院分区:
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文献类型:
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作者:
L. Smith;S. Stechmann

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摘要从云解析模型的方程出发,系统地推导了准地转(QG)方程的降水版本。水从蒸气到液体的相变以及反之亦然的相变的存在导致了与干 QG 情况的重要差异。降水 QG (PQG) 方程最简单的形式有两个变量来描述整个系统:位涡 (PV) 变量和包括水分效应的变量 M。 PV 和 M 反演可以确定所有其他变量,并且它涉及椭圆偏微分方程 (PDE),由于饱和区域和不饱和区域之间的相位变化,该方程是非线性的。为具有两个垂直水平的理想化冷芯旋风分离器提供了 PV 和 M 反演示例。这个例子说明的一个关键点是,相界面位置从 PV 和 M 中先验未知,并且它是作为反演过程的一部分被发现的。讨论了湿 PV 变量的几种选择,包括...
AbstractPrecipitating versions of the quasigeostrophic (QG) equations are derived systematically, starting from the equations of a cloud-resolving model. The presence of phase changes of water from vapor to liquid and vice versa leads to important differences from the dry QG case. The precipitating QG (PQG) equations, in their simplest form, have two variables to describe the full system: a potential vorticity (PV) variable and a variable M including moisture effects. A PV-and-M inversion allows the determination of all other variables, and it involves an elliptic partial differential equation (PDE) that is nonlinear because of phase changes between saturated and unsaturated regions. An example PV-and-M inversion is provided for an idealized cold-core cyclone with two vertical levels. A key point illustrated by this example is that the phase interface location is unknown a priori from PV and M, and it is discovered as part of the inversion process. Several choices of a moist PV variable are discussed, inc...
使用罗斯贝波分量解释具有水分参数化效应的斜斜波
DOI: 10.1175/2010jas3410.1
发表时间: 2010
影响因子: 3.1
作者:
Frame T
通讯作者: Frame T