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Atmospheric Boundary Layer

QTCM version 2.3 includes a simple atmospheric boundary layer. It assumes a steady state, vertically homogeneous mixed layer of fixed height tex2html_wrap_inline2895 . This reduces the momentum equation in the boundary layer to a simple balance between the Coriolis force due to the boundary layer wind tex2html_wrap_inline2897 , the boundary layer's average gradient of the geopotential tex2html_wrap_inline2899 and the turbulent stress tex2html_wrap_inline2901 at top and bottom (see Stevens et al. [10]):

equation878

The stress tex2html_wrap_inline2903 at the top of the mixed layer is assumed to be proportional to the velocity jump at the interface tex2html_wrap_inline2905 with an entrainment velocity tex2html_wrap_inline2907 as its proportionality constant. For the surface stress the wind speed tex2html_wrap_inline2909 in the standard bulk formula is augmented by a minimum surface wind speed tex2html_wrap_inline2911 which crudely parameterizes the additional stress due to surface wind variance not captured in QTCM (gustiness etc.): tex2html_wrap_inline2913 , tex2html_wrap_inline2915 . The result is a nonlinear vector equation for the boundary layer wind. In components:

eqnarray890

These equations are solved for tex2html_wrap_inline2917 and tex2html_wrap_inline2919 in subroutine abl using a Newton-Ralphon procedure. The routine uses the surface wind of the prior time step as the initial guess. Initially, the routine uses the tex2html_wrap_inline2921 as the initiall guessgif. The input of abl are the surface geopotential gradient tex2html_wrap_inline2923 and the velocity at the top of the ABL tex2html_wrap_inline2925 . Besides tex2html_wrap_inline2917 and tex2html_wrap_inline2919 abl returns tex2html_wrap_inline2931 which is then used in the bulk formulas for the latent and sensible heat fluxes.



Climate Systems Interaction Group
Tue Aug 13 18:22:11 PDT 2002