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2020 | OriginalPaper | Chapter

Comparative Study of Boundary Conditions in LBM for Incompressible Laminar Flow

Authors : Alankar Agarwal, Akshay Prakash

Published in: Mathematical Modelling and Scientific Computing with Applications

Publisher: Springer Singapore

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Abstract

In this paper, we conduct a comparative study amongst different boundary conditions with two dimensional single-relaxation time lattice Boltzmann method (SRT-LBM), for incompressible laminar flow. Three types of boundary condition are considered for the simulation: including full-way bounce-back, half-way bounce-back, and modified bounce-back for the implementation of no-slip boundary condition on the wall with, pressure (density) boundary condition proposed by Zuo and He (Phys Fluids 9(6):1591–1598, 1997 [1]) for inlet/oulet. The benchmark fluid flow problem of steady plane Poiseuille’s flow with Reynolds number, Re = 75 is choosen. The numerical simulations are validated with the analytical solution, and grid convergence test are performed to compare accuracy of different boundary conditions.

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Literature
1.
Zou, Q., He, X.: On pressure and velocity boundary conditions for the lattice Boltzmann BGK model. Phys. Fluids 9(6), 1591–1598 (1997)MathSciNetCrossRef
2.
3.
Gunstensen, A.K., Rothman, D.H.: Microscopic modeling of immiscible fluids in three dimensions by a lattice Boltzmann method. EPL (Europhys. Lett.) 18(2), 157 (1992)CrossRef
4.
McClure, J.E., Prins, J.F., Miller, C.T.: Comparison of CPU and GPU implementations of the lattice Boltzmann method. In: XVIII International Conference on Water Resources, CMWR (2010)
5.
Succi, S.: The Lattice Boltzmann Equation: for Fluid Dynamics and Beyond. Oxford University Press (2001)
6.
Aidun, C.K., Clausen, J.R.: Lattice-Boltzmann method for complex flows. Annu. Rev. Fluid Mech. 42, 439–472 (2010)MathSciNetCrossRef
7.
Perumal, D.A., Dass, A.K.: A review on the development of lattice Boltzmann computation of macro fluid flows and heat transfer. Alexandria Eng. J. 54(4), 955–971 (2015)CrossRef
8.
Mohammadipour, O.R., Niazmand, H., Succi, S.: General velocity, pressure, and initial condition for two-dimensional and three-dimensional lattice Boltzmann simulations. Phys. Rev. E 95(3), 033301 (2017)CrossRef
9.
Kang, S.K., Hassan, Y.A.: A comparative study of direct-forcing immersed boundary-lattice Boltzmann methods for stationary complex boundaries. Int. J. Numer. Meth. Fluids 66(9), 1132–1158 (2011)CrossRef
10.
Zhang, R., Chen, H.: Lattice Boltzmann method for simulations of liquid-vapor thermal flows. Phys. Rev. E 67(6), 066711 (2003)CrossRef
11.
He, X., Luo, L.-S.: Lattice Boltzmann model for the incompressible Navier-Stokes equation. J. Stat. Phys. 88(3), 927–944 (1997)MathSciNetCrossRef
12.
Guo, Z., Shu, C.: Lattice Boltzmann Method and Its Applications in Engineering, vol. 3. World Scientific, Singapore (2013)CrossRef
Metadata
Title
Comparative Study of Boundary Conditions in LBM for Incompressible Laminar Flow
Authors
Alankar Agarwal
Akshay Prakash
Copyright Year
2020
Publisher
Springer Singapore
Book
Mathematical Modelling and Scientific Computing with Applications

Print ISBN: 978-981-15-1337-4

Electronic ISBN: 978-981-15-1338-1

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-981-15-1338-1_18

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