LES of lid driven cavity flows using lattice Boltzmann method
Abstract
An in-house lattice Boltzmann method (LBM) solver is enhanced to include large eddy simulation (LES) as turbulence modeling with two subgrid-scale (SGS) models and is applied for simulating flow in a three-dimensional lid driven cubic cavity and deep cavity with aspect ratio K = 2. To ensure the correct implementation of the Bhatnagar-Gross-Krook (BGK) lattice Boltzmann equation (LBE), streaming process and boundary conditions, the LBM code is first validated for flow in the cubic cavity at Re = 100, Re = 400 and Re = 1, 000, and for flow in the deep cavity with K = 2 at Re = 100, Re = 400. To achieve a higher Reynolds number for cavity flows, SGS models including Smagorinsky model and Vreman model are used for the filtered BGK-LBE, considering the stability issues of the BGK collision operator. The code with SGS models is validated at Re = 12, 000 and Re = 18, 000 by comparing to the DNS data. The effect the D3Q19 and D3Q27 lattice models, optimal grid size and the performance of different SGS models are studied at Re = 12, 000. Based on the validation study in the cubic cavity, we apply the BGK-LBE with Smagorinsky model and D3Q27 lattice model on a 80 cubic grid to the study the steady-oscillatory transition of the flows in lid driven cavities. For cubic cavity, oscillatory instabilities sets in via symmetry breaking about z = h plane at Re = 2, 250 - 2, 300. The symmetry is recovered at Re = 2, 350, at which nondecaying oscillations exist in the flow field. For deep cavities with K = 2, symmetry breaking is observed at Re = 1, 350 - 1, 500, at which the flow first shows decaying oscillations and periodic oscillations occurs after the flow is developed for a certain time.
Degree
M.S.M.E.
Advisors
FRANKEL, Purdue University.
Subject Area
Mechanical engineering
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