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Nonlinear features in explicit algebraic models for turbulent flows with active scalars
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, Centres, SeRC - Swedish e-Science Research Centre.ORCID iD: 0000-0002-9819-2906
KTH, School of Engineering Sciences (SCI), Mechanics, Turbulence. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0001-8692-0956
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, Centres, SeRC - Swedish e-Science Research Centre.ORCID iD: 0000-0002-2711-4687
2015 (English)In: 9th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2015, TSFP-9 , 2015Conference paper, Published paper (Refereed)
Abstract [en]

A detailed discussion of explicit algebraic turbulence models in the case of active scalars is given. In particular, we discuss the appearance of nonlinearities in the models and the need for explicit solutions of the resulting nonlinear equations. Focussing on a recently published model for two-dimensional stratified flows, we present an intuitive way of approximating the solution of a sixth-order polynomial equation for the production-to-dissipation ratio (p + g)/e of turbulent kinetic energy K. This formulation is shown to be consistent for turbulent channel flow with stable and unstable stratification. The result is important for obtaining a robust model with a correct behaviour of the turbulence production in different limits of shear and buoyancy. The results have recently been published in Lazeroms et al. (2015).

Place, publisher, year, edition, pages
TSFP-9 , 2015.
Keywords [en]
Algebra, Channel flow, Control nonlinearities, Kinetic energy, Kinetics, Nonlinear equations, Polynomials, Thermal stratification, Turbulence models, Dissipation ratio, Explicit algebraic models, Explicit solutions, Nonlinear features, Order polynomials, Turbulence productions, Turbulent channel flows, Turbulent kinetic energy, Shear flow
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-222966Scopus ID: 2-s2.0-85034427107ISBN: 9780000000002 (print)OAI: oai:DiVA.org:kth-222966DiVA, id: diva2:1193303
Conference
9th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2015, 30 June 2015 through 3 July 2015
Note

QC 20180326

Available from: 2018-03-26 Created: 2018-03-26 Last updated: 2018-03-26Bibliographically approved

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Brethouwer, GertWallin, StefanJohansson, Arne V.

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Lazeroms, WernerBrethouwer, GertWallin, StefanJohansson, Arne V.
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Linné Flow Center, FLOWMechanicsSeRC - Swedish e-Science Research CentreTurbulence
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