| Description |
The Du Fort-Frankel finite difference scheme is applied to a non-constant coefficient, one dimensional diffusion equation which has an analytic solution. The heat exchange coefficient, K(Z), in gradients are greatest and also Qy raising the top of the boundary . dK layer to about 4000 meters for values of d >.1. These tests insure that the scheme resolves the strong low-level gradients of this equation is specified to increase linearly with height. Using values of K d normally found in the atmosphere, the numerical and analytic solutions are compared. Good results are obtained with sufficiently small spacing at the lower levels where the temperature variables such as temperature for vertical profiles of K(Z) normally The scheme is then applied to the equations governing boundary found in the atmosphere. The scheme is then applied to the equations governing boundary found in the atmosphere. layer flows. Oscillating eddy stress effects and variable geostrophic wind are included together in this numerical model in an attempt to duplicate the observed oscillations in the boundary layer wind over sloping terrain. The terrain slope considered here is similar to that found in the Great Plains region of the United states. Numerical integration of this model reveals that the combination of these effects duplicate well the observed wind structure in the Great Plains. |
