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Random walk modelling of diffusion in inhomogeneous turbulence
Author(s) -
Thomson D. J.
Publication year - 1984
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.49711046620
Subject(s) - random walk , turbulence , statistical physics , gaussian , diffusion , turbulent diffusion , distribution (mathematics) , heterogeneous random walk in one dimension , continuous time random walk , k epsilon turbulence model , anomalous diffusion , space (punctuation) , physics , mathematics , mechanics , computer science , mathematical analysis , statistics , innovation diffusion , thermodynamics , knowledge management , quantum mechanics , operating system
The use of random walk techniques in diffusion modelling has been very successful when the turbulence is not too inhomogeneous. In this paper the difficulties associated with inhomogeneous turbulence are investigated, and a random walk model is developed which ensures the correct steady state distribution of particles in phase space. The model requires the generation of random numbers from non‐Gaussian distributions, and this makes the model difficult to apply in cases of severe inhomogeneity. An alternative model is presented which overcomes this problem in cases where the velocity distribution is Gaussian.