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

机译:稳定分层流中垂直剪切速率与动能耗散率的关系

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摘要

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.
机译:为了研究水平运动的垂直剪切与动能耗散率之间的关系,分析了强分层湍流的高分辨率直接数值模拟。根据雷诺数和浮力雷诺数来检查耗散率的每个分量的相对大小。根据仿真结果,结合已发布的实验室结果,可以得出以下结论:(1)仿真结果与实验室数据一致,但跨更大的浮力雷诺数范围;(2)垂直方向的平方比剪切速率对耗散速率的影响是浮力雷诺数的强函数,并且(3)仅当浮力雷诺数小于一阶时,垂直剪切率才是能量耗散率的主要原因。

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