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Lattice Boltzmann Simulation of Steady Flow in a Semi-Elliptical Cavity

Part of: Incompressible viscous fluids Quantum field theory; related classical field theories Basic methods in fluid mechanics

Published online by Cambridge University Press:  07 February 2017

Junjie Ren  and
Ping Guo
Junjie Ren*
Affiliation:
School of Sciences, Southwest Petroleum University, Chengdu 610500, Sichuan, China
Ping Guo*
Affiliation:
State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, Sichuan, China
*
*Corresponding author. Email addresses:renjunjie1900@126.com (J. Ren), guopingswpi@vip.sina.com (P. Guo)
*Corresponding author. Email addresses:renjunjie1900@126.com (J. Ren), guopingswpi@vip.sina.com (P. Guo)
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Abstract

The lattice Boltzmann method is employed to simulate the steady flow in a two-dimensional lid-driven semi-elliptical cavity. Reynolds number (Re) and vertical-to-horizontal semi-axis ratio (D) are in the range of 500-5000 and 0.1-4, respectively. The effects of Re and D on the vortex structure and pressure field are investigated, and the evolutionary features of the vortex structure with Re and D are analyzed in detail. Simulation results show that the vortex structure and its evolutionary features significantly depend on Re and D. The steady flow is characterized by one vortex in the semi-elliptical cavity when both Re and D are small. As Re increases, the appearance of the vortex structure becomes more complex. When D is less than 1, increasing D makes the large vortexes more round, and the evolution of the vortexes with D becomes more complex with increasing Re. When D is greater than 1, the steady flow consists of a series of large vortexes which superimpose on each other. As Re and D increase, the number of the large vortexes increases. Additionally, a small vortex in the upper-left corner of the semi-elliptical cavity appears at a large Re and its size increases slowly as Re increases. The highest pressures appear in the upper-right corner and the pressure changes drastically in the upper-right region of the cavity. The total pressure differences in the semi-elliptical cavity with a fixed D decrease with increasing Re. In the region of themain vortex, the pressure contours nearly coincide with the streamlines, especially for the cavity flow with a large Re.

Keywords

Semi-elliptical cavitylid-driven flowlattice Boltzmann methodboundary condition

MSC classification

Secondary: 76M28: Particle methods and lattice-gas methods 76D05: Navier-Stokes equations 81T80: Simulation and numerical modeling
Type
Research Article
Information
Communications in Computational Physics , Volume 21 , Issue 3 , March 2017 , pp. 692 - 717
Copyright
Copyright © Global-Science Press 2017 

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Footnotes

Communicated by Kazuo Aoki

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