Criteria for the selection of stochastic models of particle trajectories in turbulent flows
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1,656 citations
Cites methods from "Criteria for the selection of stoch..."
...5 (32) Lacking suitable turbulence parameterizations above the ABL (z>h), a constant vertical diffusivity Dz=0.1 m 2s−1 is used in the stratosphere, following recent work of Legras 5 et al. (2003), whereas a horizontal diffusivity Dh=50 m 2s−1 is used in the free troposphere....
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969 citations
Cites background or methods from "Criteria for the selection of stoch..."
...This is written as the ̧angevin equation (Thomson, 1987)...
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...tracer are initially mixed uniformly in a turbulent flow, they will remain so (Thomson, 1987)....
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...See Thomson (1984, 1987), Wilson and Sawford (1996) and Rodean (1996) for detailed treatments of the mathematical and physical background of LPDM, and Uliasz (1994) and Zannetti (1992) for discussions of more practical aspects of LPDM simulations....
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...Using sufficiently small time steps, equation (16) fulfills the most important criterion for an LPDM, the ‘‘well-mixed’’ criterion, which states that if the particles of a passive tracer are initially mixed uniformly in a turbulent flow, they will remain so (Thomson, 1987)....
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...This is written as the ¸angevin equation (Thomson, 1987) dv@ i "a i (X, v@, t)dt#b ij (X, v@, t) d¼ j (t) (15) where a and b are functions of X, v@ and t and the d¼ j are the increments of a vector-valued ¼iener process with independent components....
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781 citations
Cites background or methods from "Criteria for the selection of stoch..."
...The turbulent fluctuations are calculated according to the Langevin equation (Thomson, 1987) dv 5i "a i (x, v 5 , t) dt#b ij (x, v 5 , t) d¼ j (4) where a and b are functions of the position, the turbulent velocity and time....
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...The turbulent fluctuations are calculated according to the Langevin equation (Thomson, 1987)...
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...This form was shown by Thomson (1987) to fulfill the well-mixed criterion which states that ‘‘if a species of passive marked particles is initially mixed uniformly in position and velocity space in a turbulent flow, it will stay that way’’ (Rodean, 1996)....
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709 citations
Cites methods from "Criteria for the selection of stoch..."
...simulation, the model must not violate the so-called wellmixed criterion [Thomson, 1987], i....
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...As particles were not repositioned during the simulation, the model must not violate the so-called well-mixed criterion [Thomson, 1987], i.e., accumulate particles or leave voids in certain regions....
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610 citations
References
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