ON THE ENHANCED SMOOTHING OVER TOPOGRAPHY IN SOME MESOMETEOROLOGICAL MODELS.

P. Alpert, J. Neumann

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

An equation is derived for the components of the horizontal (turbulent) frictional force in the sigma -coordinate system with special attention to mesometeorological flow models. The starting point is the horizontal equation of motion in its 'flux-form' in the sigma -system in which we replace (following Reynolds' procedure) the velocity components u,v and sigma as well as other relevant quantities by terms of the form u equals U OVER BAR plus plus U**1,. . . , sigma equals sigma OVER BAR plus sigma **1 etc. (U OVER BAR equals time average of u; U**1) equals fluctuating part of u. ) Next, the equation is averaged with respect to time and terms which we believe are small in mesometeorological flows, are neglected. On expressing sigma **1 by an appropriate expression that involves w**1, the result shows the appearance of two new terms which have not been considered previously in the published literature.

Original languageEnglish
Title of host publicationBoundary Layer Structure
EditorsHadassah Kaplan, Nathan Dinar
PublisherD. Reidel Publ Co
Pages293-312
Number of pages20
ISBN (Electronic)978-94-009-6514-0
ISBN (Print)9027718776
DOIs
StatePublished - 1984

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