Interface Treatment for Conjugate Conditions in the Lattice Boltzmann Method for the Convection Diffusion Equation

Computational Fluid Dynamics Simulations ◽

10.5772/intechopen.86252 ◽

2020 ◽

Author(s):

David Korba ◽

Like Li

Keyword(s):

Diffusion Equation ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Boltzmann Method ◽

Interface Treatment

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Boundary condition at a two-phase interface in the lattice Boltzmann method for the convection-diffusion equation

Physical Review E ◽

10.1103/physreve.90.013303 ◽

2014 ◽

Vol 90 (1) ◽

Cited By ~ 30

Author(s):

Hiroaki Yoshida ◽

Takayuki Kobayashi ◽

Hidemitsu Hayashi ◽

Tomoyuki Kinjo ◽

Hitoshi Washizu ◽

...

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Phase Interface ◽

Two Phase ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Boltzmann Method

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A LATTICE BOLTZMANN METHOD FOR TWO-DIMENSIONAL CONVECTION-DIFFUSION EQUATION

Acta Physica Sinica ◽

10.7498/aps.48.1800 ◽

1999 ◽

Vol 48 (10) ◽

pp. 1800

Author(s):

LIU MU-REN ◽

CHEN RUO-HANG ◽

LI HUA-BING ◽

KONG LING-JIANG

Keyword(s):

Diffusion Equation ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Two Dimensional ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Boltzmann Method

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Lattice Boltzmann method for the convection–diffusion equation in curvilinear coordinate systems

Journal of Computational Physics ◽

10.1016/j.jcp.2013.09.035 ◽

2014 ◽

Vol 257 ◽

pp. 884-900 ◽

Cited By ~ 22

Author(s):

Hiroaki Yoshida ◽

Makoto Nagaoka

Keyword(s):

Diffusion Equation ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Coordinate Systems ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Curvilinear Coordinate ◽

Boltzmann Method

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Nonequilibrium scheme for computing the flux of the convection-diffusion equation in the framework of the lattice Boltzmann method

Physical Review E ◽

10.1103/physreve.90.013305 ◽

2014 ◽

Vol 90 (1) ◽

Cited By ~ 40

Author(s):

Zhenhua Chai ◽

T. S. Zhao

Keyword(s):

Diffusion Equation ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Boltzmann Method

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Multiple-time-scaling lattice Boltzmann method for the convection diffusion equation

Physical Review E ◽

10.1103/physreve.99.063301 ◽

2019 ◽

Vol 99 (6) ◽

Cited By ~ 1

Author(s):

Like Li

Keyword(s):

Diffusion Equation ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Multiple Time ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Time Scaling ◽

Boltzmann Method

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Non-linear boundary conditions for the convection-diffusion equation in lattice Boltzmann framework

Chemical Engineering Science ◽

10.1016/j.ces.2021.116925 ◽

2021 ◽

pp. 116925

Author(s):

Elham Kashani ◽

Ali Mohebbi ◽

Amir Ehsan Feili Monfared ◽

Amir Raoof

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Lattice Boltzmann ◽

Linear Boundary ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Non Linear

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Quantum algorithm for the advection–diffusion equation simulated with the lattice Boltzmann method

Quantum Information Processing ◽

10.1007/s11128-021-02996-3 ◽

2021 ◽

Vol 20 (2) ◽

Author(s):

Ljubomir Budinski

Keyword(s):

Diffusion Equation ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Quantum Algorithm ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Boltzmann Method

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Improved treatments for general boundary conditions in the lattice Boltzmann method for convection-diffusion and heat transfer processes

Physical Review E ◽

10.1103/physreve.88.033304 ◽

2013 ◽

Vol 88 (3) ◽

Cited By ~ 59

Author(s):

Qing Chen ◽

Xiaobing Zhang ◽

Junfeng Zhang

Keyword(s):

Heat Transfer ◽

Boundary Conditions ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

General Boundary ◽

General Boundary Conditions ◽

Convection Diffusion ◽

Transfer Processes ◽

Boltzmann Method

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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 ◽

Cited By ~ 5

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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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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