American Journal of Fluid Dynamics
p-ISSN: 2168-4707 e-ISSN: 2168-4715
2022; 12(1): 120-129
doi:10.5923/j.ajfd.20221201.03
Received: Jul. 11, 2022; Accepted: Jul. 26, 2022; Published: Jul. 27, 2022
Jay P. Narain
Retired, Independent Research Person
Correspondence to: Jay P. Narain, Retired, Independent Research Person.
Email: |
Copyright © 2022 The Author(s). Published by Scientific & Academic Publishing.
This work is licensed under the Creative Commons Attribution International License (CC BY).
http://creativecommons.org/licenses/by/4.0/
Lattice Boltzmann method (LBE) has attracted enormous interest to analyze this two-dimensional incompressible Navier-Stokes flow in a Lid Driven square cavity. A few papers have applied it to deep aspect ratio cavities. For the most part, the Reynolds number (Re) have been limited to 5,000. The aspect ratio (Ar) has also been limited to four. In most of the analyses, single relaxation time model (SRT) known as, Bhatnagar, Gross and Krook [8] model (LGBK) is used. The present work extends the Re capability beyond 10,000 for cavities with Ar up to six. It also uses two relaxation time (TRT) approach and half way bounce back boundary conditions. For square cavities, results were obtained for Re up to 60,000.
Keywords: Lid driven cavity flow, LBE solver with SRT or TRT relaxation
Cite this paper: Jay P. Narain, High Reynolds Number Investigation of Lid Driven Cavity Flow, American Journal of Fluid Dynamics, Vol. 12 No. 1, 2022, pp. 120-129. doi: 10.5923/j.ajfd.20221201.03.
Figure 1. Plots of stream function for various Re. N on title denotes NxN grid requirement |
Figure 2. Mid Plane velocity prediction and correlation with bench mark data |
Figure 3. Total velocity, vorticity, and streamlines for several Re |
Figure 4. Plots of total velocity, vorticity and stream function for various Reynolds numbers and Ar = 4 |
Figure 5. Mid Plane velocity predictions for Ar = 4 |
Figure 6. Plots of stream function for various Re |
Figure 7. Mid Plane velocity predictions for Ar = 1.5 |
Figure 8. Streamlines predictions for Ar = 6 |
Figure 9. Mid Plane velocities predictions for Ar = 6 |
Figure 10. Mid Plane velocity predictions for various Ar and Re = 1000 |
Figure 11. Walls moving in same direction |
Figure 12. Walls moving in opposite direction |