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. [S1063-651X(99)07711-9].
|Journal||Physical Review E. Statistical, Nonlinear, and Soft Matter Physics|
|Publication status||Published - 1999|
Bibliographical noteCopyright (1999) by the American Physical Society.
- SCALING EXPONENTS
Andersen, K. H., & Muratore-Ginanneschi, P. (1999). Shell model for time-correlated random advection of passive scalars. Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 60(6), 6663-6681. https://doi.org/10.1103/PhysRevE.60.6663