### Abstract

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 language | English |
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Pages (from-to) | 239-245 |

Number of pages | 7 |

Journal | Applied Mathematical Modelling |

Volume | 9 |

Issue number | 4 |

Publication status | Published - Aug 1985 |

### Keywords

- advection
- dispersion
- simulation
- turbulent flow

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## Cite this

*Applied Mathematical Modelling*,

*9*(4), 239-245.