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Spherical Geometry

 

Factors in the model equations associated with spherical geometry have been included in QTCM1 beginning with v2.0. However, in v2.0 through 2.2, these factors appeared only in the dx terms and were omitted for instance in tex2html_wrap_inline2548 term in the divergence. These have now been corrected in v2.3. The front-end subroutine for the fatd package have also been made consistent for spherical geometry.

The tex2html_wrap_inline2550 term of the momentum equation is neglected since it would add computation of several additional terms (such as tex2html_wrap_inline2552 , etc) and is small relative to tex2html_wrap_inline2554 especially in the tropics.

The spherical factors are controlled in subroutine parinit. Array cosu is the cosine factor at each ``whole gridpoint'' latitude location, i.e. where the u variable is defined on the C-grid (Table 3.1). Array cosv is the same at the ``half-grid'' locations, i.e. where the v variable is defined on the C-grid. Arrays dxu, dxv, dyu, and dyv contain the corresponding grid distances in spherical coordinates. To remove spherical geometry effects, set both cosu and cosv to 1.



Climate Systems Interaction Group
Sun Aug 25 00:58:46 PDT 2002