Simulation of turbulent dispersion using a simple random model of the flow field

A D Jenkins

    Research output: Contribution to journalArticlepeer-review

    8 Citations (Scopus)


    A method is devised to simulate the movement and spreading of a patch of contaminant in two-dimensional turbulent flow. The turbulent motion is exponentially divided into components of differing wave number, adjacent components being made to have correlation times differing by a factor of two. The turbulent motion is then reconstructed by replacing each component with a sinusoidal advection field having a randomly directed wave number. Contaminant particles are advected by each of the reconstructed components, the smallest scale components being applied first. A computer simulation was performed, using a Kolmogorov k- 5 3 turbulent energy spectrum. Batchelor's s ? t 3 2 law for the spreading of a contaminant patch was reproduced, approximately, as was Richardson's non-Gaussian asymptotic form of the distance-neighbour function. © 1985.

    Original languageEnglish
    Pages (from-to)239-245
    Number of pages7
    JournalApplied Mathematical Modelling
    Issue number4
    Publication statusPublished - Aug 1985


    • advection
    • dispersion
    • simulation
    • turbulent flow


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