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Physics > Fluid Dynamics

arXiv:2305.04598 (physics)
[Submitted on 8 May 2023]

Title:A Reduced Basis LES turbulence model based upon Kolmogorov's equilibrium turbulence theory

Authors:Alejandro Bandera Moreno, Cristina Caravaca García, Tomás Chacón Rebollo, Enrique Delgado Ávila, Macarena Gómez Mármol
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Abstract:In this work, we introduce an a posteriori error indicator for the reduced basis modelling of turbulent flows. It is based upon the $k^{-5/3}$ Kolmogorov turbulence theory, thus it may be applied to any numerical discretisation of LES turbulence models. The main idea of this indicator is that if the full-order solution and the Reduced Order solution are close enough, then their flow energy spectrum within the inertial range should also be close. We present some numerical tests which supports that the use of this indicator is helpful, obtaining large computational speed-ups. We use as full-order model a Finite Element discretisation of the unsteady LES Smagorinsky turbulence model.
Subjects: Fluid Dynamics (physics.flu-dyn); Numerical Analysis (math.NA)
Cite as: arXiv:2305.04598 [physics.flu-dyn]
  (or arXiv:2305.04598v1 [physics.flu-dyn] for this version)
  https://doi.org/10.48550/arXiv.2305.04598

Submission history

From: Enrique Delgado Avila [view email]
[v1] Mon, 8 May 2023 10:16:55 UTC (790 KB)
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