Transformation of the Equations of Motion in Dynamical Meteorology to Orthogonal Curvilinear Coordinates
H. Arakawa · Papers in Meteorology and Geophysics · 1950
The transformation of the equations of motion of a viscous fluid to orthogonal curvilinear coordinates has been discussed by G. B. JEFFERY, and others, but analogous equations for the motion in dynamical meteorology do not appear to have attracted the same attention. The first section of this paper deals with the transformation of the equations of motion in dynamical meteorology. Then the theory is illustrated by applications to cylindrical and spherical polar coordinates.