NUMERICAL SOLUTION OF THE TRANSPORT AND ENERGY EQUATIONS IN THE PLANETARY BOUNDARY LAYER.
ARMY ELECTRONICS COMMAND FORT HUACHUCA ARIZ RESEARCH DIV
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This report presents the development of an algorithm for the approximate prediction of the physical behavior of the planetary boundary layer. For the sake of brevity, the problem is restricted to one which displays most of the essential features involved. By means of various approximations, the problem is stated in mathematical terms. The behavior of the planetary boundary layer is described by a system of nonlinear partial differential equations of the parabolic type, and boundary conditions at the earths surface are developed in terms of the energy balance principle. Through a priori analysis, it is inferred that the problem is well-posed. Various finite-difference operators are proposed and shown to be consistent with the differential operators. The boundedness and computational stability of the solutions of the finite -difference operators are discussed. It is concluded that the pure implicit nonlinear operator is the most satisfactory for the development of the algorithm. The algorithm is developed in detail and several solutions are presented to illustrate the results obtainable from it. Author