Shell model for time-correlated random advection of passive scalars

K. H. Andersen and P. Muratore-Ginanneschi
Phys. Rev. E 60, 6663 – Published 1 December 1999
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Abstract

We study a minimal shell model for the advection of a passive scalar by a Gaussian time-correlated velocity field. The anomalous scaling properties of the white noise limit are studied analytically. The effect of the time correlations are investigated using perturbation theory around the white noise limit and nonperturbatively by numerical integration. The time correlation of the velocity field is seen to enhance the intermittency of the passive scalar.

  • Received 9 February 1999

DOI:https://doi.org/10.1103/PhysRevE.60.6663

©1999 American Physical Society

Authors & Affiliations

K. H. Andersen*

  • Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen, Denmark
  • Institute of Hydraulic Research and Water Resources, The Danish Technical University, DK-2800 Lyngby, Denmark

P. Muratore-Ginanneschi

  • Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen, Denmark

  • *Electronic address: ken@isva.dtu.dk
  • Electronic address: pmg@nbi.dk

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Vol. 60, Iss. 6 — December 1999

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