Hybrid spectral-particle method for the turbulent transport of a passive scalar

Authors:
J. -B. Lagaert;G. Balarac;G. -H. Cottet
Affiliations:
Grenoble-INP/CNRS/UJF-Grenoble 1, LEGI UMR 5519, Grenoble, F-38041, France;Grenoble-INP/CNRS/UJF-Grenoble 1, LEGI UMR 5519, Grenoble, F-38041, France;Grenoble-INP/CNRS/UJF-Grenoble 1, LJK UMR 5224, Grenoble, F-38041, France
Venue:
Journal of Computational Physics
Year:
2014

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Abstract

This paper describes a novel hybrid method, combining a spectral and a particle method, to simulate the turbulent transport of a passive scalar. The method is studied from the point of view of accuracy and numerical cost. It leads to a significative speed up over more conventional grid-based methods and allows to address challenging Schmidt numbers. In particular, theoretical predictions of universal scaling in forced homogeneous turbulence are recovered for a wide range of Schmidt numbers for large, intermediate and small scales of the scalar.