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Comparison Analysis of Analytical and Lattice Boltzmann Methods for Simulation of Turbulence Decay in Flows in Converging and Diverging Channels

  • The paper focuses on a study of turbulence decay in flow with streamwise gradient. For the first time, an analytical solution of this problem was obtained based on the k‐ε model of turbulence in one‐dimensional (1D) approximation, as well as on the symmetry properties of the system of differential equations. Lie group technique enabled reducing the problem to a linear differential equation. The analytical solution enabled parametric studies, which are computationally cheap in comparison to CFD based simulations. The lattice Boltzmann method (LBM) in two‐dimensional approximation (2D) was used to validate the analytical results. Large eddy simulation (LES) Smagorinsky approach was used to close the LBM model. Computations revealed that the rate of turbulence decay is significantly different for the cases of positive and negative streamwise pressure gradient. The further comparisons showed that the analytical solution underpredicts the predictions by the numerical methodology, which can be attributed to the simplified problem statement used to derive the closed‐form analytical solution. Comparisons of calculations with experiments revealed that the theoretical models used in the study underpredict the measurements for flows with a positive pressure gradient. Hence it can be concluded that the LBM technique combined with the LES Smagorinsky model requires the further modification.

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Metadaten
Verfasserangaben:Andriy A. Avramenko, Andrii I. Tyrinov, Igor V. Shevchuk, Nataliia P. Dmitrenko
URN:urn:nbn:de:hbz:832-epub4-16936
DOI:https://doi.org/10.1002/zamm.201900301
Titel des übergeordneten Werkes (Englisch):ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Verlag:Wiley
Dokumentart:Wissenschaftlicher Artikel
Sprache:Englisch
Datum des Hochladens:11.11.2021
GND-Schlagwort:Fluidpartikelströmung; Gitter-Boltzmann-Methode
Freies Schlagwort / Tag:Analytical Method; Fluid Flow; Lattice Boltzmann Method; Turbulence Decay
Jahrgang:101
Ausgabe / Heft:5
Aufsatznummer:e201900301
Seitenzahl:15
Fakultäten und Zentrale Einrichtungen:Informatik und Ingenieurwissenschaften (F10) / Fakultät 10 / Institut Allgemeiner Maschinenbau
DDC-Sachgruppen:500 Naturwissenschaften und Mathematik
Lizenz (Deutsch):License LogoCreative Commons - CC BY-NC-ND - Namensnennung - Nicht kommerziell - Keine Bearbeitungen 4.0 International