Relationship between vertical shear rate and kinetic energy dissipation rate in stably stratified flows

Relationship between vertical shear rate and kinetic energy dissipation rate in stably stratified flows
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稳定分层流中垂直剪切率与动能耗散率的关系

DOI:
10.1029/2005gl025071
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发表时间:
2005
影响因子:
5.2
通讯作者:
S. M. de Bruyn Kops
S. M. de Bruyn Kops
中科院分区:
地球科学1区
文献类型:
--
作者:
D. Hebert;S. M. de Bruyn Kops

文献摘要

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为了研究水平运动的垂直剪切与动能耗散率之间的关系,对强分层湍流的高分辨率直接数值模拟进行了分析。研究了耗散率各分量的相对大小作为雷诺数和浮力雷诺数的函数。结合已发表的实验室结果,得出:(1)模拟结果与实验室数据一致,但浮力雷诺数范围更大;(2)垂直剪切率与耗散率的平方比是浮力雷诺数的强函数;(3)当浮力雷诺数小于1阶时,垂直剪切速率是耗散速率的主要原因的近似才成立。
High resolution direct numerical simulations of strongly stratified turbulence are analyzed in order to investigate the relationship between vertical shearing of horizontal motions and the dissipation rate of kinetic energy. The relative magnitude of each component of the dissipation rate is examined as a function of the Reynolds number and of the buoyancy Reynolds number. From the simulation results, in conjunction with published laboratory results, it is concluded that (1) the simulation results are consistent with the laboratory data but span a much larger range of buoyancy Reynolds number, (2) the ratio of the square of the vertical shear rate to the dissipation rate is a strong function of buoyancy Reynolds number, and (3) the approximation that vertical shear rate is the dominant cause of energy dissipation rate is only good when the buoyancy Reynolds number is less than order one.