Hydrodynamic Behavior of Different No-Slip Condition on the Curved Boundaries in the Lattice Boltzmann Method

Document Type : Research Article

Authors

1 زنجان-مهندسی- گروه مهندسی مکانیک

2 Department of Mechanical Engineering, University of Zanjan

Abstract

This paper examines the various methods of applying no-slip boundary condition on a fixed and rotary cylinder in the lattice Boltzmann framework. For this purpose, five methods of bounce[1]back, linear and quadratic method of Yu and the linear and quadratic method of Bouzidi are chosen. The main challenge in all of these methods is how to calculate and interpolate the unknown distribution functions at the points around the boundary points. Results show that in the stable conditions (Re=20 and Re=40), the maximum error of calculation of the separation angle is 6.7 % and it is related to the bounce-back method, while in the stable conditions, a significant difference cannot be seen between the bounce-back and other methods. Also, the linear method of Bouzidi has the most error in calculating the separation length (6% for Re=20 and 8.82 % for Re=40). By increasing the Reynolds number and increasing the rotational velocity, a difference in the lift coefficient in the early times, t*> 7.78 grows for the conditions of k=0.2 and Re=200, between the bounce-back and other methods, however with increasing time, this difference reduces, whereas the three methods of linear Yu, linear Bouzidi and quadratic Bouzidi, continue to produce similar results.

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References

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Amirkabir Journal of Mechanical Engineering
Volume 52, Issue 7
October 2020
Pages 1925-1942

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