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An estimation of a passive scalar variances using a one-particle Lagrangian transport and diffusion model

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  • Kaplan, H.

Abstract

In this work the Lagrangian particle diffusion model (LPDM) is extended to include variances and covariances between different passive scalars. This is done by introducing an additional particle variable—the conditional average scalar concentration (CASC) over the particle’s trajectory. In contrast to the particle’s scalar concentration which is conserved, the CASC evolves in time. The model for the evolution equation is compatible with the Eulerian equation for the scalar variance and with the asymptotic behaviour of the particles’ pair probability function.

Suggested Citation

  • Kaplan, H., 2014. "An estimation of a passive scalar variances using a one-particle Lagrangian transport and diffusion model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 1-9.
    • Handle: RePEc:eee:phsmap:v:393:y:2014:i:c:p:1-9
    DOI: 10.1016/j.physa.2013.09.008
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    References listed on IDEAS

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    1. Alessandrini, Stefano & Ferrero, Enrico, 2009. "A hybrid Lagrangian–Eulerian particle model for reacting pollutant dispersion in non-homogeneous non-isotropic turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1375-1387.
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    Cited by:

    1. Bisignano, Andrea & Mortarini, Luca & Ferrero, Enrico, 2017. "Evaluation of high-order concentration statistics in a dispersing plume," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 115-126.

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