Lattice-boltzmann simulations of the convection-diffusion equation with different reactive boundary conditions

Rui Du; Jincheng Wang; Dongke Sun

doi:10.3390/math8010013

Lattice-boltzmann simulations of the convection-diffusion equation with different reactive boundary conditions

Rui Du, Jincheng Wang, Dongke Sun

School of Materials Sience and Engineering

Southeast University, Nanjing

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We have tested the accuracy and stability of lattice-Boltzmann (LB) simulations of the convection-diffusion equation in a two-dimensional channel flow with reactive-flux boundary conditions. We compared several different implementations of a zero-concentration boundary condition using the Two-Relaxation-Time (TRT) LB model. We found that simulations using an interpolation of the equilibrium distribution were more stable than those based on Multi-Reflection (MR) boundary conditions. We have extended the interpolation method to include mixed boundary conditions, and tested the accuracy and stability of the simulations over a range of Damköhler and Péclet numbers.

Original language	English
Article number	13
Pages (from-to)	1-12
Number of pages	12
Journal	Mathematics
Volume	8
Issue number	1
DOIs	https://doi.org/10.3390/math8010013
State	Published - Jan 2020

Keywords

Lattice Boltzmann method
Mixed boundary condition
TRT model

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10.3390/math8010013

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title = "Lattice-boltzmann simulations of the convection-diffusion equation with different reactive boundary conditions",

abstract = "We have tested the accuracy and stability of lattice-Boltzmann (LB) simulations of the convection-diffusion equation in a two-dimensional channel flow with reactive-flux boundary conditions. We compared several different implementations of a zero-concentration boundary condition using the Two-Relaxation-Time (TRT) LB model. We found that simulations using an interpolation of the equilibrium distribution were more stable than those based on Multi-Reflection (MR) boundary conditions. We have extended the interpolation method to include mixed boundary conditions, and tested the accuracy and stability of the simulations over a range of Damk{\"o}hler and P{\'e}clet numbers.",

keywords = "Lattice Boltzmann method, Mixed boundary condition, TRT model",

author = "Rui Du and Jincheng Wang and Dongke Sun",

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year = "2020",

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AU - Sun, Dongke

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N2 - We have tested the accuracy and stability of lattice-Boltzmann (LB) simulations of the convection-diffusion equation in a two-dimensional channel flow with reactive-flux boundary conditions. We compared several different implementations of a zero-concentration boundary condition using the Two-Relaxation-Time (TRT) LB model. We found that simulations using an interpolation of the equilibrium distribution were more stable than those based on Multi-Reflection (MR) boundary conditions. We have extended the interpolation method to include mixed boundary conditions, and tested the accuracy and stability of the simulations over a range of Damköhler and Péclet numbers.

AB - We have tested the accuracy and stability of lattice-Boltzmann (LB) simulations of the convection-diffusion equation in a two-dimensional channel flow with reactive-flux boundary conditions. We compared several different implementations of a zero-concentration boundary condition using the Two-Relaxation-Time (TRT) LB model. We found that simulations using an interpolation of the equilibrium distribution were more stable than those based on Multi-Reflection (MR) boundary conditions. We have extended the interpolation method to include mixed boundary conditions, and tested the accuracy and stability of the simulations over a range of Damköhler and Péclet numbers.

KW - Lattice Boltzmann method

KW - Mixed boundary condition

KW - TRT model

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DO - 10.3390/math8010013

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JF - Mathematics

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M1 - 13

ER -

Lattice-boltzmann simulations of the convection-diffusion equation with different reactive boundary conditions

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Keywords

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