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Mathematical and Simulation of Lid Driven Cavity Flow at Different Aspect Ratios Using Single Relaxation Time Lattice Boltzmann Technique
American Journal of Theoretical and Applied Statistics
Volume 2, Issue 3, May 2013, Pages: 87-93
Received: May 30, 2013; Published: Jun. 20, 2013
Authors
Anil Kumar, Department of Applied Mathematics, World Institute of Technology Sohna Gurgaon, India
S P Agrawal, Department of Civil Engineering, World Institute of Technology Sohna Gurgaon, India
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Abstract
In this paper we, consider a restrictions on the choice of relaxation time in single relaxation time (SRT) models, simulation of flows is generally limited base on this technique. In the current study of the SRT lattice Boltzmann equation have been used to simulate lid driven cavity flow at various Reynolds numbers (100-5000) and three aspect ratios, K=1, 1.5 and 4. The point which is vital in convergence of this technique is how the boundary conditions will be implemented. Two kinds of boundary conditions which imply no-slip and constant inlet velocity, imposed in the present work. For square cavity, results show that with increasing the Reynolds number, bottom corner vortices will grow but they won’t merge together. In this case which the aspect ratio equals four, and Reynolds number reaches over 1000, simulations predicted four primary vortices, which have not predicted by previous single relaxation time models. The results have been compared by previous multi relaxation model.
Keywords
Cavity Flow, Lattice Boltzmann, Aspect Ratio, Vortex Integration
Anil Kumar, S P Agrawal, Mathematical and Simulation of Lid Driven Cavity Flow at Different Aspect Ratios Using Single Relaxation Time Lattice Boltzmann Technique, American Journal of Theoretical and Applied Statistics. Vol. 2, No. 3, 2013, pp. 87-93. doi: 10.11648/j.ajtas.20130203.17
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