Equilibrium Statistical Mechanics of Barotropic Flow over Finite Topography

Equilibrium Statistical Mechanics of Barotropic Flow over Finite Topography
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有限地形上正压流的平衡统计力学

DOI:
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发表时间:
2001
期刊:
影响因子:
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通讯作者:
G. Holloway
G. Holloway
中科院分区:
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文献类型:
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作者:
W. Merryfield;P. Cummins;G. Holloway

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本文用统计力学方法确定了有限振幅地形上正压气流的无粘平衡,推广了以往的准地转理论。在能量守恒和涡度拟能守恒的约束下,平衡平均位涡与平均输送流函数之间存在线性关系。这种关系进行了数值测试,并发现持有在很宽的范围内的地形振幅。改进参数化的涡熵产生的影响进行了讨论。
Inviscid equilibria of barotropic flows over finite-amplitude topography are determined by means of statistical mechanics, extending previous quasigeostrophic theory. Imposing constraints of energy and enstrophy conservation leads to a linear relation between equilibrium mean potential vorticity and mean transport streamfunction. This relation is tested numerically and is found to hold over a wide range of topographic amplitudes. Implications for improving parameterizations of entropy generation by eddies are discussed.