Subgrid modelling for particle-LES by Spectrally Optimised Interpolation (SOI)

Abstract

This paper focuses on Large-Eddy simulation of particle-laden flow. We present a novel model for the effect of unresolved scales on the particles. The model can be regarded as an extension of the approximate deconvolution method towards higher wavenumbers. The basis of the model is a specific interpolation method which is constructed such that the spectrum seen by the particles attains a model spectrum. Thus, the model is called Spectrally Optimised Interpolation (SOI). The model is developed and tested in the framework of homogeneous isotropic turbulence. A comparison of SOI against ADM [J.G.M. Kuerten, Subgrid modelling in particle-laden channel flow, Phys. Fluids 18 (2006) 025108] shows that in particular in coarse LES, SOI is far more accurate than ADM. The computational costs for SOI are comparable to fourth order interpolation. Possible extensions of the model for general flows are briefly sketched.