A Two-Dimensional Numerical Model of Dry Convection with Three-Dimensional Dynamics.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO
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A numerical model for the study of dry, three-dimensional, small scale, atmospheric convection is presented for use with a two-dimensional grid in the vertical xz plane. All of the derivatives in the horizontal y dimension are derived through the assumptions of cyclostrophic balance, symmetry of circular eddies, and horizontal isotropy of derivatives. Variable eddy coefficients, proportional to the deformation field and the square of the grid interval, are used. Comparisons with a similar two-dimensional model shows the thermals in this pseudo three-dimensional model develop sooner and reach a larger maximum vertical velocity faster. These results are comparable to what other researchers of three-dimensional models have found. The economy of computation of this model will enable other investigators to make better use of limited computer facilities. Author