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A stochastic subgrid model with application to turbulent flow and scalar mixing
KTH, School of Engineering Sciences (SCI), Mechanics.
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0002-9819-2906
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0002-2711-4687
2007 (English)In: Physics of fluids, ISSN 1070-6631, E-ISSN 1089-7666, Vol. 19, no 3, 035107- p.Article in journal (Refereed) Published
Abstract [en]

A new computationally cheap stochastic Smagorinsky model which allows for backscatter of subgrid scale energy is proposed. The new model is applied in the large eddy simulation of decaying isotropic turbulence, rotating homogeneous shear flow and turbulent channel flow at Re-tau=360. The results of the simulations are compared to direct numerical simulation data. The inclusion of stochastic backscatter has no significant influence on the development of the kinetic energy in homogeneous flows, but it improves the prediction of the fluctuation magnitudes as well as the anisotropy of the fluctuations in turbulent channel flow compared to the standard Smagorinsky model with wall damping of C-S. Moreover, the stochastic model improves the description of the energy transfer by reducing its length scale and increasing its variance. Some improvements were also found in isotropic turbulence where the stochastic contribution improved the shape of the enstrophy spectrum at the smallest resolved scales and reduced the time scale of the smallest resolved scales in better agreement with earlier observations.

Place, publisher, year, edition, pages
2007. Vol. 19, no 3, 035107- p.
Keyword [en]
LARGE-EDDY SIMULATION; BACKSCATTER; VISCOSITY; ENERGY
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-8696DOI: 10.1063/1.2711477ISI: 000245318500019Scopus ID: 2-s2.0-34047223580OAI: oai:DiVA.org:kth-8696DiVA: diva2:14084
Note
QC 20100825Available from: 2008-06-05 Created: 2008-06-05 Last updated: 2017-12-14Bibliographically approved
In thesis
1. Modelling of subgrid-scale stress and passive scalar flux in large eddy simulations of wall bounded turbulent flows
Open this publication in new window or tab >>Modelling of subgrid-scale stress and passive scalar flux in large eddy simulations of wall bounded turbulent flows
2008 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

The aim of the thesis is to develop and validate subgrid-scale models that are relevant for large eddy simulations of complex flows including scalar mixing. A stochastic Smagorinsky model with adjustable variance and time scale is developed by adding a stochastic component to the Smagorinsky constant. The stochastic model is shown to provide for backscatter of both kinetic energy and scalar variance without causing numerical instabilities. In addition, new models for the subgrid-scale stress and passive scalar flux are derived from modelled subgrid scale transport equations. These models properly account for the anisotropy of the subgrid scales and have potentials wall bounded flows. The proposed models are validated in wall bounded flows with and without rotation and show potential or significantly improve predictions for such cases.      

Place, publisher, year, edition, pages
Stockholm: KTH, 2008. iii, 22 p.
Series
Trita-MEK, ISSN 0348-467X ; 2008:06
Keyword
Turbulence, large-eddy simulation, subgrid-scale model
National Category
Fluid Mechanics and Acoustics
Identifiers
urn:nbn:se:kth:diva-4809 (URN)
Public defence
2008-06-13, Sal D3, KTH, Lindstedtsvägen 5, Stockholm, 10:30
Opponent
Supervisors
Note

QC 20100826

Available from: 2008-06-05 Created: 2008-06-05 Last updated: 2013-10-30Bibliographically approved

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Brethouwer, GeertJohansson, Arne V.

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