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Error Estimates for...
Error Estimates for the Smagorinsky Turbulence Model : Enhanced Stability Through Scale Separation and Numerical Stabilization
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- Burman, Erik (författare)
- Department of Mathematics, University College London, WC1E 6BT, London, United Kingdom,UCL, Dept Math, London WC1E 6BT, England.
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- Hansbo, Peter (författare)
- Jönköping University,JTH, Material och tillverkning
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- Larson, Mats G. (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Umea Univ, Dept Math & Math Stat, S-90187 Umea, Sweden.
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Department of Mathematics, University College London, WC1E 6BT, London, United Kingdom UCL, Dept Math, London WC1E 6BT, England (creator_code:org_t)
- 2021-11-15
- 2022
- Engelska.
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Ingår i: Journal of Mathematical Fluid Mechanics. - : Birkhäuser Verlag. - 1422-6928 .- 1422-6952. ; 24:1
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Abstract
Ämnesord
Stäng
- In the present work we show some results on the effect of the Smagorinsky model on the stability of the associated perturbation equation. We show that in the presence of a spectral gap, such that the flow can be decomposed in a large scale with moderate gradient and a small amplitude fine scale with arbitratry gradient, the Smagorinsky model admits stability estimates for perturbations, with exponential growth depending only on the large scale gradient. We then show in the context of stabilized finite element methods that the same result carries over to the approximation and that in this context, for suitably chosen finite element spaces the Smagorinsky model acts as a stabilizer yielding close to optimal error estimates in the L2-norm for smooth flows in the pre-asymptotic high Reynolds number regime.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Strömningsmekanik och akustik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Fluid Mechanics and Acoustics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- LES
- Navier-Stokes’ equations
- Smagorinsky model
- Stabilized finite element
- Trubulence modelling
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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