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On the moments approximation method for constructing a Lagrangian Stochastic model
Authors:Shuming Du  John D Wilson  Eugene Yee
Institution:(1) Department of Geography, University of Alberta, T6G 2H4 Edmonton, Canada;(2) Defense Research Establishment Suffield, Medicine Hat, T1A 8K6, Canada
Abstract:The exact Eulerian velocity probability density function (pdf) of a turbulent field is generally unknown, and one normally has available only partial information in the form of low order moments. We compare two alternative Lagrangian Stochastic (LS) approaches formed from this partial information, (i) the ldquomoments approximationrdquo approach (Kaplan and Dinar, 1993); and (ii) the well-mixed model (Thomson, 1987) that corresponds to the ldquomaximum missing informationrdquo pdf formed from the available information. We show that the moments approximation model does not in general satisfy the well-mixed constraint, and can give an inferior prediction of dispersion.
Keywords:
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