Lattice Boltzmann method for convection-diffusion equations with general interfacial conditions

Physical Review E ◽

10.1103/physreve.93.043320 ◽

2016 ◽

Vol 93 (4) ◽

Author(s):

Zexi Hu ◽

Juntao Huang ◽

Wen-An Yong

Keyword(s):

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Diffusion Equations ◽

Convection Diffusion ◽

Interfacial Conditions ◽

Boltzmann Method

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Second-order curved interface treatments of the lattice Boltzmann method for convection-diffusion equations with conjugate interfacial conditions

Computers & Fluids ◽

10.1016/j.compfluid.2016.12.003 ◽

2017 ◽

Vol 144 ◽

pp. 60-73 ◽

Author(s):

Ze-Xi Hu ◽

Juntao Huang ◽

Wei-Xi Huang ◽

Gui-Xiang Cui

Keyword(s):

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Second Order ◽

Diffusion Equations ◽

Convection Diffusion ◽

Interfacial Conditions ◽

Boltzmann Method ◽

Curved Interface

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Consistent boundary conditions of the multiple-relaxation-time lattice Boltzmann method for convection–diffusion equations

Computers & Fluids ◽

10.1016/j.compfluid.2018.04.027 ◽

2018 ◽

Vol 170 ◽

pp. 24-40 ◽

Author(s):

Liangqi Zhang ◽

Shiliang Yang ◽

Zhong Zeng ◽

Jia Wei Chew

Keyword(s):

Relaxation Time ◽

Boundary Conditions ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Diffusion Equations ◽

Convection Diffusion ◽

Multiple Relaxation Time ◽

Boltzmann Method

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Multiple-relaxation-time lattice Boltzmann method for the Navier-Stokes and nonlinear convection-diffusion equations: Modeling, analysis, and elements

Physical Review E ◽

10.1103/physreve.102.023306 ◽

2020 ◽

Vol 102 (2) ◽

Author(s):

Zhenhua Chai ◽

Baochang Shi

Keyword(s):

Relaxation Time ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Diffusion Equations ◽

Navier Stokes ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Modeling Analysis ◽

Multiple Relaxation Time ◽

Boltzmann Method

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A simple and efficient curved boundary scheme of the lattice Boltzmann method for Robin boundary conditions of convection–diffusion equations

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107536 ◽

2021 ◽

pp. 107536

Author(s):

Xinyuan Xie ◽

Weifeng Zhao ◽

Ping Lin

Keyword(s):

Boundary Conditions ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Diffusion Equations ◽

Robin Boundary Conditions ◽

Curved Boundary ◽

Convection Diffusion ◽

Boltzmann Method ◽

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Lattice Boltzmann method for general convection-diffusion equations: MRT model and boundary schemes

Journal of Computational Physics ◽

10.1016/j.jcp.2019.03.045 ◽

2019 ◽

Vol 389 ◽

pp. 147-163 ◽

Author(s):

Mengxin Zhang ◽

Weifeng Zhao ◽

Ping Lin

Keyword(s):

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Diffusion Equations ◽

Convection Diffusion ◽

Boltzmann Method

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Discrete effects on boundary conditions of the lattice Boltzmann method for convection-diffusion equations with curved geometries

International Communications in Heat and Mass Transfer ◽

10.1016/j.icheatmasstransfer.2021.105130 ◽

2021 ◽

Vol 122 ◽

pp. 105130

Author(s):

Liang Wang ◽

Shi Tao ◽

Junjie Hu ◽

Kai Zhang ◽

Gui Lu

Keyword(s):

Boundary Conditions ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Diffusion Equations ◽

Convection Diffusion ◽

Boltzmann Method

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Second-order curved boundary treatments of the lattice Boltzmann method for convection–diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2016.01.008 ◽

2016 ◽

Vol 310 ◽

pp. 26-44 ◽

Author(s):

Juntao Huang ◽

Zexi Hu ◽

Wen-An Yong

Keyword(s):

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Second Order ◽

Diffusion Equations ◽

Curved Boundary ◽

Convection Diffusion ◽

Boundary Treatments ◽

Boltzmann Method

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On the collision matrix of the lattice Boltzmann method for anisotropic convection–diffusion equations

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106304 ◽

2020 ◽

Vol 105 ◽

pp. 106304

Author(s):

Chang Guo ◽

Weifeng Zhao ◽

Ping Lin

Keyword(s):

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Diffusion Equations ◽

Convection Diffusion ◽

Boltzmann Method

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Boundary conditions of the lattice Boltzmann method for convection–diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2015.07.045 ◽

2015 ◽

Vol 300 ◽

pp. 70-91 ◽

Author(s):

Juntao Huang ◽

Wen-An Yong

Keyword(s):

Boundary Conditions ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Diffusion Equations ◽

Convection Diffusion ◽

Boltzmann Method

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An Accurate Multi-level Finite Difference Scheme for 1D Diffusion Equations Derived from the Lattice Boltzmann Method

Journal of Statistical Physics ◽

10.1007/s10955-010-0004-y ◽

2010 ◽

Vol 140 (3) ◽

pp. 494-503 ◽

Author(s):

Shinsuke Suga

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Finite Difference Scheme ◽

Diffusion Equations ◽

Multi Level ◽

Boltzmann Method

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