TY - GEN

T1 - ON THE ENHANCED SMOOTHING OVER TOPOGRAPHY IN SOME MESOMETEOROLOGICAL MODELS.

AU - Alpert, P.

AU - Neumann, J.

PY - 1984

Y1 - 1984

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0021657416&partnerID=8YFLogxK

U2 - https://doi.org/10.1007/978-94-009-6514-0_12

DO - https://doi.org/10.1007/978-94-009-6514-0_12

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AN - SCOPUS:0021657416

SN - 9027718776

SP - 293

EP - 312

BT - Boundary Layer Structure

A2 - Kaplan, Hadassah

A2 - Dinar, Nathan

PB - D. Reidel Publ Co

ER -