Direct Numerical Simulations of the Kraichnan Model: Scaling Exponents and Fusion Rules

Preprint

1 July 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9707003

Abstract

We present results from direct numerical simulations of the Kraichnan model for passive scalar advection by a rapidly-varying random scaling velocity field for intermediate values of the velocity scaling exponent. These results are compared with the scaling exponents predicted for this model by Kraichnan. Further, we test the recently proposed fusion rules which govern the scaling properties of multi-point correlations, and present results on the linearity of the conditional statistics of the Laplacian operator on the scalar field.

Keywords

DIRECT NUMERICAL SIMULATIONS
NUMERICAL SIMULATIONS
SCALING EXPONENTS
SCALING VELOCITY
KRAICHNAN MODEL
FUSION RULES
LAPLACIAN

All Related Versions

Version 1, 1997-07-01, ArXiv
Published version: Physical Review Letters, 79 (21), 4166.

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