## A method for solving the balance equation with the relative vorticity as a carrying parameter |

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absolute velocity absolute vorticity everywhere Akira Kasahara balance equation barotropic Bolin boundary condition carrying parameter CHICAGO LIBRARY circular vortex computation schemes computed by hand constant pressure convergence rate coordinates Coriolis parameter distribution of F domain electronic computer ellipticity criterion equation lU following finite-difference forecast geostrophic gradient wind grid distance grid point height contour field higher approximation hurricane movement impose the conditions initial guess isobaric longer any significant magnitude of total map projection Method for Solving Miyakoda necessary to perform negative absolute vorticity nondivergent nontrivial multiplications Number of Approximation number of steps obtain the successive ordinary relaxation Parameter by Akira points relative Poisson equation positive or negative prediction model prediction of hurricane reduced refer to points relative vorticity relaxation operation routine satisfy the following seventh approximation solution solving the balance square-root operation steps of approximation stream function successive approximations suffixes refer systematic point-to-point manner total deformation University of Chicago variation