DERIVATION OF HYPERBOLIC TURBULENT DIFFUSION EQUATION
ARMY ELECTRONICS COMMAND FORT HUACHUCAAZ RESEARCH DIV
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A three dimensional hyperbolic differential equation based on finite correlated particle velocities is derived which is appropriate to modeling anisotropic turbulent diffusion in the atmosphere. Cauchy initial data, the mean wind, the Reynolds stress tensor, and a typical frequency of pulsation are required for complete solution. The outlines of plumes and puffs may be obtained with only knowledge of the Reynolds stress tensor and mean wind velocity. The classical parabolic diffusion equations are a limiting form of this hyperbolic model.
- Atmospheric Physics
- Fluid Mechanics