The equation of turbulent diffusion is solved for a vertical area source within the planetary boundary layer. The traditional Gaussian-plume approach is compared with the spectral solution of the diffusion equation used together with the barotropic boundary-layer model of Lettau and Dabberdt (1970). The results of the numerical computations are presented and the differences between the solutions are discussed.
List of Symbols
coordinates wind components concentration of contaminants source area lateral and vertical boundaries of the model height of inversion layer source height height of the boundary layer deviations in the Gaussian profile parameters for the a,., a, depending on stability travel time source strength factor of proportionality between K,,, w functions of x, y, z eigenvalues angle between shearing stress and departure of the actual wind from the geostrophic value geostrophic wind continuous function satisfying the boundary conditions components of the linear combination for g coefficients of f,, in the linear combination m, n, p, 1, s natural numbers, indices Boundary-Layer Meteorology 12(1977) 127-139. All Rights Reserved Copyright @ 1977 by D. Reidel Publishing Company, Dordrecht-Holland HELGA NITSCHE ET AL.