Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

Stability Functions in the Stable Surface Layer Derived from the Mellor–Yamada–Nakanishi–Niino (MYNN) Scheme

Journal Article · · Journal of the Meteorological Society of Japan
 [1];  [2];  [3]
  1. Japan Weather Association, Tokyo (Japan)
  2. Univ. of Tokyo, Kashiwa (Japan)
  3. Meteorological Research Inst., Tsukuba (Japan)
+ Show Author Affiliations
It is desirable that a surface layer scheme in an atmospheric numerical model is consistent with an atmospheric boundary layer scheme incorporated in the same model. In this study, stability functions based on Monin–Obukhov similarity theory for momentum and heat, φm and φh, in the stable surface layer are derived from the Mellor–Yamada–Nakanishi–Niino (MYNN) scheme. The resulting stability functions are approximated by φm = 1 + 4.8z/L and φh = 0.74 + 6.0z/L, which can be analytically integrated with respect to height z to obtain momentum and heat fluxes, where L is the Obukhov length. The fluxes thus, obtained are compared with those acquired from stability functions in four previous studies: they are nearly the same as those from two of them, and show better agreement with observational data of the Surface Heat Budget of the Arctic Ocean experiment (SHEBA) over sea ice than those from the other two studies. Detailed comparisons of the results of the MYNN scheme with the SHEBA data suggest that significant variations of the fluxes observed during “winter” when the ice was covered with dry snow may have been caused by those of the surface roughness around the observational site. The stability functions obtained from the MYNN scheme predict that the bulk and flux Richardson numbers approach critical values of 0.26 and 0.21, respectively, in the limit of z/L → ∞. These critical values result from the Kolmogorov hypothesis applied to the turbulent dissipation in the MYNN scheme and are considered to correspond to a transition from Kolmogorov to non-Kolmogorov turbulence.
Research Organization:
ARM Data Center, Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Biological and Environmental Research (BER)
Contributing Organization:
Pacific Northwest National Laboratory (PNNL); Brookhaven National Laboratory (BNL); Argonne National Laboratory (ANL); Oak Ridge National Laboratory (ORNL)
Grant/Contract Number:
AC05-76RL01830
OSTI ID:
1855822
Journal Information:
Journal of the Meteorological Society of Japan, Journal Name: Journal of the Meteorological Society of Japan Journal Issue: 1 Vol. 100; ISSN 0026-1165
Publisher:
Meteorological Society of JapanCopyright Statement
Country of Publication:
United States
Language:
English

References (23)

Prediction of gradient‐based similarity functions from the Mellor–Yamada model journal September 2021
A review of flux-profile relationships journal November 1974
Flux-profile Relationships for Wind Speed and Temperature in the Stable Atmospheric Boundary Layer journal March 2005
An Improved Mellor–Yamada Level-3 Model: Its Numerical Stability and Application to a Regional Prediction of Advection Fog journal March 2006
On the turbulent Prandtl number in the stable atmospheric boundary layer journal June 2007
The Critical Richardson Number and Limits of Applicability of Local Similarity Theory in the Stable Boundary Layer journal September 2012
Assessment of Gradient-Based Similarity Functions in the Stable Boundary Layer Derived from a Large-Eddy Simulation journal February 2017
Turbulence in the Atmosphere book January 2010
Surface-Layer Fluxes in Stable Conditions journal March 1999
Improvement Of The Mellor–Yamada Turbulence Closure Model Based On Large-Eddy Simulation Data journal June 2001
Flux Parameterization over Land Surfaces for Atmospheric Models journal March 1991
Flux-Profile Relationships in the Atmospheric Surface Layer journal March 1971
Analytic Prediction of the Properties of Stratified Planetary Surface Layers journal September 1973
A Hierarchy of Turbulence Closure Models for Planetary Boundary Layers journal October 1974
An Evaluation of Bulk Ri-Based Surface Layer Flux Formulas for Stable and Very Stable Conditions with Intermittent Turbulence journal October 2003
Surface Heat Budget of the Arctic Ocean journal February 2002
Stably Stratified Flows: A Model with No Ri(cr)* journal July 2008
Parameterizing Turbulent Exchange over Sea Ice in Winter journal February 2010
Stable Atmospheric Boundary Layers and Diurnal Cycles: Challenges for Weather and Climate Models journal November 2013
New Modified and Extended Stability Functions for the Stable Boundary Layer based on SHEBA and Parametrizations of Bulk Transfer Coefficients for Climate Models journal July 2020
Modifications to the Mellor-Yamada-Nakanishi-Niino (MYNN) Model for the Stable Stratification Case journal January 2010
Development of an Improved Turbulence Closure Model for the Atmospheric Boundary Layer journal January 2009
Tower, Interpolated hourly measurements to 2.5 and 10m at Met City (ASFG). Version 1.0 dataset January 2007

Similar Records

A Case Study of the Weather Research and Forecasting Model Applied to the Joint Urban 2003 Tracer Field Experiment. Part III: Boundary-Layer Parametrizations
Journal Article · Thu Mar 24 00:00:00 EDT 2022 · Boundary-Layer Meteorology · OSTI ID:1862806
Time Evolution and Diurnal Variability of the Parametric Sensitivity of Turbine-Height Winds in the MYNN-EDMF Parameterization
Journal Article · Fri Jun 04 00:00:00 EDT 2021 · Journal of Geophysical Research: Atmospheres · OSTI ID:1787314
On Master-Length Scale Formulations for Stable Conditions in Turbulence Closure Models
Journal Article · Tue Jan 28 23:00:00 EST 2025 · Boundary-Layer Meteorology · OSTI ID:2513247

Related Subjects

54 ENVIRONMENTAL SCIENCES
Kolmogorov turbulence
MYNN scheme
Monin–Obukhov similarity theory
roughness length
stability functions
stable surface layer