103 Multiple-relaxation-time lattice Boltzmann model for the convection-diffusion equation

Hiroaki YOSHIDA; Makoto NAGAOKA

doi:10.1299/jsmecmd.2010.23.31

103 Multiple-relaxation-time lattice Boltzmann model for the convection-diffusion equation

The Proceedings of The Computational Mechanics Conference ◽

10.1299/jsmecmd.2010.23.31 ◽

2010 ◽

Vol 2010.23 (0) ◽

pp. 31-32

Author(s):

Hiroaki YOSHIDA ◽

Makoto NAGAOKA

Keyword(s):

Relaxation Time ◽

Diffusion Equation ◽

Lattice Boltzmann ◽

Lattice Boltzmann Model ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Multiple Relaxation Time ◽

Boltzmann Model

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Multiple-relaxation-time lattice Boltzmann model for the axisymmetric convection diffusion equation

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2013.08.039 ◽

2013 ◽

Vol 67 ◽

pp. 338-351 ◽

Cited By ~ 46

Author(s):

Like Li ◽

Renwei Mei ◽

James F. Klausner

Keyword(s):

Relaxation Time ◽

Diffusion Equation ◽

Lattice Boltzmann ◽

Lattice Boltzmann Model ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Multiple Relaxation Time ◽

Boltzmann Model

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Multiple-relaxation-time finite-difference lattice Boltzmann model for the nonlinear convection-diffusion equation

Physical Review E ◽

10.1103/physreve.104.035308 ◽

2021 ◽

Vol 104 (3) ◽

Author(s):

Xinmeng Chen ◽

Zhenhua Chai ◽

Jinlong Shang ◽

Baochang Shi

Keyword(s):

Relaxation Time ◽

Finite Difference ◽

Diffusion Equation ◽

Lattice Boltzmann ◽

Lattice Boltzmann Model ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Multiple Relaxation Time ◽

Boltzmann Model

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A modified multiple-relaxation-time lattice Boltzmann model for convection–diffusion equation

Journal of Computational Physics ◽

10.1016/j.jcp.2014.05.041 ◽

2014 ◽

Vol 274 ◽

pp. 50-63 ◽

Cited By ~ 59

Author(s):

Rongzong Huang ◽

Huiying Wu

Keyword(s):

Relaxation Time ◽

Diffusion Equation ◽

Lattice Boltzmann ◽

Lattice Boltzmann Model ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Multiple Relaxation Time ◽

Boltzmann Model

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A modified regularized lattice Boltzmann model for convection–diffusion equation with a source term

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106766 ◽

2021 ◽

Vol 112 ◽

pp. 106766

Author(s):

Lei Wang ◽

Xuguang Yang ◽

Huili Wang ◽

Zhenhua Chai ◽

Zhouchao Wei

Keyword(s):

Diffusion Equation ◽

Lattice Boltzmann ◽

Source Term ◽

Lattice Boltzmann Model ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Boltzmann Model

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Multiple-relaxation-time lattice Boltzmann model for the convection and anisotropic diffusion equation

Journal of Computational Physics ◽

10.1016/j.jcp.2010.06.037 ◽

2010 ◽

Vol 229 (20) ◽

pp. 7774-7795 ◽

Cited By ~ 191

Author(s):

Hiroaki Yoshida ◽

Makoto Nagaoka

Keyword(s):

Relaxation Time ◽

Diffusion Equation ◽

Lattice Boltzmann ◽

Anisotropic Diffusion ◽

Lattice Boltzmann Model ◽

Multiple Relaxation Time ◽

Anisotropic Diffusion Equation ◽

Boltzmann Model

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Lattice Boltzmann model for the correct convection-diffusion equation with divergence-free velocity field

Physical Review E ◽

10.1103/physreve.91.033302 ◽

2015 ◽

Vol 91 (3) ◽

Cited By ~ 7

Author(s):

Rongzong Huang ◽

Huiying Wu

Keyword(s):

Velocity Field ◽

Diffusion Equation ◽

Lattice Boltzmann ◽

Lattice Boltzmann Model ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Divergence Free ◽

Boltzmann Model

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A Multiple-Relaxation-Time Lattice Boltzmann Model for General Nonlinear Anisotropic Convection–Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-016-0198-5 ◽

2016 ◽

Vol 69 (1) ◽

pp. 355-390 ◽

Cited By ~ 67

Author(s):

Zhenhua Chai ◽

Baochang Shi ◽

Zhaoli Guo

Keyword(s):

Relaxation Time ◽

Lattice Boltzmann ◽

Lattice Boltzmann Model ◽

Diffusion Equations ◽

Convection Diffusion ◽

Multiple Relaxation Time ◽

Boltzmann Model

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Discrete effects on some boundary schemes of multiple-relaxation-time lattice Boltzmann model for convection–diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.04.003 ◽

2020 ◽

Vol 80 (3) ◽

pp. 531-551

Author(s):

Yao Wu ◽

Yong Zhao ◽

Zhenhua Chai ◽

Baochang Shi

Keyword(s):

Relaxation Time ◽

Lattice Boltzmann ◽

Lattice Boltzmann Model ◽

Diffusion Equations ◽

Convection Diffusion ◽

Multiple Relaxation Time ◽

Boltzmann Model

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An Efficient Lattice Boltzmann Model for Steady Convection–Diffusion Equation

Journal of Scientific Computing ◽

10.1007/s10915-014-9827-z ◽

2014 ◽

Vol 61 (2) ◽

pp. 308-326 ◽

Cited By ~ 9

Author(s):

Qianhuan Li ◽

Zhenhua Chai ◽

Baochang Shi

Keyword(s):

Diffusion Equation ◽

Lattice Boltzmann ◽

Lattice Boltzmann Model ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Boltzmann Model ◽

Steady Convection

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Discrete effect on the halfway bounce-back boundary condition of multiple-relaxation-time lattice Boltzmann model for convection-diffusion equations

Physical Review E ◽

10.1103/physreve.93.043311 ◽

2016 ◽

Vol 93 (4) ◽

Cited By ~ 23

Author(s):

Shuqi Cui ◽

Ning Hong ◽

Baochang Shi ◽

Zhenhua Chai

Keyword(s):

Boundary Condition ◽

Relaxation Time ◽

Lattice Boltzmann ◽

Lattice Boltzmann Model ◽

Diffusion Equations ◽

Convection Diffusion ◽

Multiple Relaxation Time ◽

Boltzmann Model ◽

Discrete Effect ◽

Bounce Back

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