Scaling Behavior of a Turbulent Kinetic Energy Closure Scheme for the Stably Stratified Atmosphere: A Steady-State Analysis

被引:1
作者
Macdonald, Michael [1 ,2 ]
Teixeira, Joao [1 ,3 ]
机构
[1] CALTECH, Jet Prop Lab, Pasadena, CA 91125 USA
[2] Univ Auckland, Dept Mech Engn, Auckland, New Zealand
[3] Univ Calif Los Angeles, Joint Inst Reg Earth Syst Sci & Engn, Los Angeles, CA USA
基金
美国国家航空航天局; 美国国家科学基金会;
关键词
Turbulence; Kinetic energy; Stability; Parameterization; Single column models; DIRECT NUMERICAL-SIMULATION; MIXING-LENGTH FORMULATION; PRANDTL NUMBER; RICHARDSON-NUMBER; VERTICAL FLUXES; BOUNDARY; MODEL; SURFACE; LAYER; PARAMETERIZATION;
D O I
10.1175/JAS-D-19-0332.1
中图分类号
P4 [大气科学(气象学)];
学科分类号
0706 ; 070601 ;
摘要
We present a turbulent kinetic energy (TKE) closure scheme for the stably stratified atmosphere in which the mixing lengths for momentum and heat are not parameterized in the same manner. The key difference is that, while the mixing length for heat tends toward the stability independent mixing length for momentum in neutrally stratified conditions, it tends toward one based on the Brunt-Vaisala time scale and square root of the TKE in the limit of large stability. This enables a unique steady-state solution for TKE to be obtained, which we demonstrate would otherwise be impossible if the mixing lengths were the same. Despite the model's relative simplicity, it is shown to perform reasonably well with observational data from the 1999 Cooperative Atmosphere-Surface Exchange Study (CASES-99) using commonly employed model constants. Analyzing the scaling behavior of the nondimensional velocity and potential temperature gradients, or of the stability (correction) functions, reveals that for large stability the present model scales in the same manner as the first-order operational scheme of Viterbo et al. Alternatively, it appears as a blend of two cases of the TKE closure scheme of Baas et al. Critically, because a unique steady-state TKEcan be obtained, the present model avoids the nonphysical behavior identified in one of the cases of Baas et al.
引用
收藏
页码:3161 / 3170
页数:10
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