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Journal of Hydrology 166 (1995) 353-369
Journal
of
Hydrology
Estimation of regional heat and moisture fluxes in
homogeneous terrain with bluff roughness elements
Martin Claussen
Max-Planck-lnstitut ffir Meteorologic, Bundesstr. 55, 20146 Hamburg, Germany
Received 6 May 1993; accepted 10 February 1994
Abstract
Recently, models of regional heat and moisture fluxes in terrain with bluff roughness
elements have been developed, based on observations which indicate that small areas of large
roughness or obstacles dominate the regional momentum flux, whereas the regional heat and
moisture fluxes are determined by the dominant surface cover. One model (Claussen and
Klaassen, Beitr. Phys. Atmos., 65, 243-248, 1992) deduces the regional heat and moisture
fluxes from local surface parameters, whereas the other (Beljaars and Holtslag, J. Appl.
MeteoroL, 30, 327-341, 1991) uses effective parameters. Here, the two models are compared;
it is shown that they are equivalent when applied to homogeneous terrain with bluff roughness
elements. Moreover, they yield the same results when used in numerical simulations. Both
models are tested against an earlier proposal by Brutsaert (Water Resour. Res., 11,543-550,
1975).
1. Introduction
In numerical models of atmospheric flow, it is necessary to consider the properties
of boundary-layer flow as averaged over the grid size of the model. In heterogeneous
terrain, this leads to the problem of estimating areal averages of surface fluxes
and associated roughness lengths, the latter being defined only for homogeneous
conditions.
Recently, the concept of blending height has become a useful approach to the
parameterization of areally averaged surface fluxes over heterogeneous terrain (e.g.
Wieringa, 1986; Mason, 1988; Claussen, 1990,1991a). Implicit in this concept is the
assumption that at sufficiently large heights above a heterogeneous surface, the
modification of air flow as a result of changes in surface conditions will not be
recognizable individually, and an overall stress or heat flux profile will exist, repre-
senting the surface conditions of a large area. Consequently, regional momentum and
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