Eulerian-Lagrangian relationships in Monte Carlo simulations of turbulent diffusion

Conference · Sat Jan 01 04:00:00 EST 1983

DOI:https://doi.org/10.1016/0004-6981(83)90073-2· OSTI ID:6648804

Lee, J T; Stone, G L

The results of this study show that Monte Carlo simulations of diffusion in homogeneous turbulence can be formulated in terms of the Eulerian space-time velocity autocorrelation function. Numerical results obtained using this approach agree with results obtained by Taylor (1921) using the Lagrangian autocorrelation function. Use was made of the equivalence of the Lagrangian and Eulerian Monte Carlo approaches to derive analytic relations between the Lagrangian integral time scale and the Eulerian integral space and time scales. These analytic results were verified by comparison to Monte Carlo simulations and to other theoretical results. They are in general agreement with many existing theories and semi-empirical relations.

• Research Organization: Los Alamos National Lab., NM (USA)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 6648804
• Report Number(s): LA-UR-82-3240; CONF-830307-5; ON: DE83003490
• Country of Publication: United States
• Language: English

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54 ENVIRONMENTAL SCIENCES
AIR POLLUTION
CLUSTER EMISSION MODEL
DIFFUSION
FUNCTIONS
LAGRANGIAN FUNCTION
MATHEMATICAL MODELS
MONTE CARLO METHOD
MULTIPERIPHERAL MODEL
PARTICLE MODELS
PARTICLES
PARTICULATES
PERIPHERAL MODELS
POLLUTION
SPACE-TIME MODEL
TRAJECTORIES
TURBULENCE