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- W2039108510 abstract "Approximate methods for predicting the spread of a passive tracer due to a Gaussian random velocity field are examined. Previous methods such as the direct-interaction approximation [J. Fluid Mech. 11, 257 (1961)] and Phythian’s short-time expansion [J. Fluid Mech. 67, 145 (1975)] make predictions for the second moment of the concentration that are qualitatively consistent with numerical simulations [Phys. Fluids 13, 22 (1970)]. However, it is shown that the higher moments obtained from these approximations are incorrect. The derivations of the direct-interaction approximation using a diagrammatic expansion and the method of averaged equations are reviewed [Phys. Fluids A 1, 47 (1989)]. A higher-order (two-body) approximation is developed which makes predictions for the fourth moment that are qualitatively correct in both the short- and long-time limits." @default.
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- W2039108510 date "1992-05-01" @default.
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- W2039108510 title "Averaged-equation and diagrammatic approximations to the average concentration of a tracer dispersed by a Gaussian random velocity field" @default.
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- W2039108510 doi "https://doi.org/10.1063/1.858268" @default.
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