A note on finite-difference schemes for the surface and planetary boundary layers

Details A note on finite-difference schemes for the surface and planetary boundary layers A note on finite-difference schemes for the surface and planetary boundary layers

Mar 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971bolme...2..108t&link_type=abstract

Boundary-Layer Meteorology, Volume 2, Issue 1, pp.108-121

Physics

12

Scientific paper

The solution of the planetary boundary-layer equations by finite-difference methods has recently become very popular. Among recent papers using such methods, several use somewhat arbitrary finite-difference meshes and some do not make use of a constant flux or wall layer near the ground. It is shown that the use of finite differences right down to the ground can be a very inaccurate procedure when used in conjunction with an eddy viscosity or mixing length proportional to ( z + z 0) or z near the ground. Such an approach can lead to results that are highly dependent on the finite-difference scheme used and virtually independent of the roughness length, z 0. A scheme using an expanding grid, based on the form chosen for mixing length or eddy viscosity, is proposed which gives good results with or without a surface layer in the case of a neutrally stratified atmosphere.

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