Skip to main content
U.S. flag

An official website of the United States government

Dot Gov

The .gov means it’s official.
Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you’re on a federal government site.


The site is secure.
The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

An Iterative Solution of FLUX-PROFILE Relationships In The Surface Layer For Regional Model Applications


Due to the implicit character of flux-profile relationships in the atmospheric surface layer, in mesoscale modeling it is common practice to calculate fluxes of momentum, heat, and moisture with approximate formulas. The study presented here shows that a Newton-Raphson iterative procedure to calculate surface fluxes using broadly accepted formulations for universal stability functions is always convergent when an interval for the solution is properly specified. Independent of surface type (z(0), z(H)/z(0)), iterations converge to a solution for Obukhov stability parameter zeta with an accuracy of 1 x 10(-3) within three iterations for the unstable stratification, and within four iterations for the stable stratification. Thus, this investigation suggests that a proper iterative procedure to obtain surface fluxes is not only always convergent but is also computationally efficient and remains a practical alternative to approximate explicit methods. (c) 2006 Elsevier Ltd. All rights reserved.

Article / Publication Data
Available Metadata
Fiscal Year
Publication Name
Atmospheric Environment
Published On
November 01, 2006
Publisher Name
Pergamon Elsevier Science Ltd
Print Volume
Print Number


Not available


Authors who have authored or contributed to this publication.

  • Mariusz Pagowski - Not Positioned Gsl
    Cooperative Institute for Research in Environmental Sciences, University of Colorado Boulder
    NOAA/Global Systems Laboratory