Comparing the performance of the Mellor-Yamada and the k-ε two-equation turbulence models
Comparing the performance of the Mellor-Yamada and the k-ε two-equation turbulence models
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DOI：
10.1029/98jc00261
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发表时间：
1998-05-15
影响因子：
3.6
通讯作者：
Rippeth, TP
中科院分区：
文献类型：
--
作者：
Burchard, H;Petersen, O;Rippeth, TP
本文的目的是系统地比较k-ε和Mellor-Yamada两方程湍流模型。这两种模式包括预测方程的湍流动能和长度尺度相关的参数，用于计算涡动粘度和垂直扩散系数。从实验室实验的结果，使用混合和分层流，进行了模拟，以系统地比较和校准的模型。结果表明，莫宁-奥布霍夫相似理论在两个模型中都得到了很好的体现。该模型被用来模拟分层潮流在爱尔兰海，结果表明，K-ESTA模型一般预测较大的相位滞后电流和湍流耗散之间，在底部边界层，比Mellor-Yamada模型。湍流动能耗散率的模型结果和现场测量之间的比较表明，这两种模型都需要通过包含内部波参数化进行修改，以便能够正确预测所观察到的湍流耗散水平。作为主要的结果，它表明，选择的稳定性函数，这是用来作为比例因子计算的涡粘性和扩散率，有一个更强的影响比长度尺度相关方程的选择的湍流模型的性能。
The aim of this paper is to systematically compare k-epsilon and Mellor-Yamada two-equation turbulence models. Both models include prognostic equations for turbulent kinetic energy and a length scale related parameter which are used to calculate eddy viscosities and vertical diffusivities. The results from laboratory experiments, using mixed and stratified flows, are simulated in order to systematically compare and calibrate the models. It is shown that the Monin-Obukhov similarity theory is well represented in both models. The models are used to simulate stratified tidal flow in the Irish Sea, and the results show that the k-epsilon models generally predict a larger phase lag between currents and turbulent dissipation, in the bottom boundary layer, than the Mellor-Yamada models. The comparison between the model results and field measurements, of the rate of dissipation of turbulent kinetic energy, shows that both models require modification through the inclusion of an internal wave parameterization in order that they are able to correctly predict the observed levels of turbulent dissipation. As the main result, it is shown that the choice of the stability functions, which are used as proportionality factors for calculating the eddy viscosity and diffusivity, has a stronger influence on the performance of the turbulence model than does the choice of length scale related equation.