Consistent boundary conditions of the multiple-relaxation-time lattice Boltzmann method for convection–diffusion equations
In this work, the Dirichlet, Neumann and linear Robin conditions for the convection–diffusion equation (CDE) lattice Boltzmann (LB) method is investigated and a second-order boundary scheme is proposed for the D2Q9 multiple-relaxation-time (MRT) LB model. With the proposed scheme, consistent impleme...
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2020
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/141250 |
| _version_ | 1826113863579336704 |
|---|---|
| author | Zhang, Liangqi Yang, Shiliang Zeng, Zhong Chew, Jia Wei |
| author2 | School of Chemical and Biomedical Engineering |
| author_facet | School of Chemical and Biomedical Engineering Zhang, Liangqi Yang, Shiliang Zeng, Zhong Chew, Jia Wei |
| author_sort | Zhang, Liangqi |
| collection | NTU |
| description | In this work, the Dirichlet, Neumann and linear Robin conditions for the convection–diffusion equation (CDE) lattice Boltzmann (LB) method is investigated and a second-order boundary scheme is proposed for the D2Q9 multiple-relaxation-time (MRT) LB model. With the proposed scheme, consistent implementations are developed for the three kinds of macroscopic boundary constraints considered at both straight and curved boundaries. The second-order accuracy of the present boundary scheme is firstly demonstrated by the theoretical derivations and then confirmed by the numerical validations. Notably, the advantages of the present boundary scheme lie in its locality and consistency, i.e., no information from the neighboring fluid nodes is required in the practical treatments, and all three kinds of boundary conditions are directly implemented without degrading the Robin condition to the Dirichlet or Neumann condition. |
| first_indexed | 2024-10-01T03:29:51Z |
| format | Journal Article |
| id | ntu-10356/141250 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:29:51Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ntu-10356/1412502020-06-05T05:09:53Z Consistent boundary conditions of the multiple-relaxation-time lattice Boltzmann method for convection–diffusion equations Zhang, Liangqi Yang, Shiliang Zeng, Zhong Chew, Jia Wei School of Chemical and Biomedical Engineering Nanyang Environment and Water Research Institute Singapore Membrane Technology Centre Engineering::Chemical engineering Lattice Boltzmann Method Multiple-relaxation-time In this work, the Dirichlet, Neumann and linear Robin conditions for the convection–diffusion equation (CDE) lattice Boltzmann (LB) method is investigated and a second-order boundary scheme is proposed for the D2Q9 multiple-relaxation-time (MRT) LB model. With the proposed scheme, consistent implementations are developed for the three kinds of macroscopic boundary constraints considered at both straight and curved boundaries. The second-order accuracy of the present boundary scheme is firstly demonstrated by the theoretical derivations and then confirmed by the numerical validations. Notably, the advantages of the present boundary scheme lie in its locality and consistency, i.e., no information from the neighboring fluid nodes is required in the practical treatments, and all three kinds of boundary conditions are directly implemented without degrading the Robin condition to the Dirichlet or Neumann condition. 2020-06-05T05:09:53Z 2020-06-05T05:09:53Z 2018 Journal Article Zhang, L., Yang, S., Zeng, Z., & Chew, J. W. (2018). Consistent boundary conditions of the multiple-relaxation-time lattice Boltzmann method for convection–diffusion equations. Computers and Fluids, 170, 24-40. doi:10.1016/j.compfluid.2018.04.027 0045-7930 https://hdl.handle.net/10356/141250 10.1016/j.compfluid.2018.04.027 2-s2.0-85046168963 170 24 40 en Computers and Fluids © 2018 Elsevier Ltd. All rights reserved. |
| spellingShingle | Engineering::Chemical engineering Lattice Boltzmann Method Multiple-relaxation-time Zhang, Liangqi Yang, Shiliang Zeng, Zhong Chew, Jia Wei Consistent boundary conditions of the multiple-relaxation-time lattice Boltzmann method for convection–diffusion equations |
| title | Consistent boundary conditions of the multiple-relaxation-time lattice Boltzmann method for convection–diffusion equations |
| title_full | Consistent boundary conditions of the multiple-relaxation-time lattice Boltzmann method for convection–diffusion equations |
| title_fullStr | Consistent boundary conditions of the multiple-relaxation-time lattice Boltzmann method for convection–diffusion equations |
| title_full_unstemmed | Consistent boundary conditions of the multiple-relaxation-time lattice Boltzmann method for convection–diffusion equations |
| title_short | Consistent boundary conditions of the multiple-relaxation-time lattice Boltzmann method for convection–diffusion equations |
| title_sort | consistent boundary conditions of the multiple relaxation time lattice boltzmann method for convection diffusion equations |
| topic | Engineering::Chemical engineering Lattice Boltzmann Method Multiple-relaxation-time |
| url | https://hdl.handle.net/10356/141250 |
| work_keys_str_mv | AT zhangliangqi consistentboundaryconditionsofthemultiplerelaxationtimelatticeboltzmannmethodforconvectiondiffusionequations AT yangshiliang consistentboundaryconditionsofthemultiplerelaxationtimelatticeboltzmannmethodforconvectiondiffusionequations AT zengzhong consistentboundaryconditionsofthemultiplerelaxationtimelatticeboltzmannmethodforconvectiondiffusionequations AT chewjiawei consistentboundaryconditionsofthemultiplerelaxationtimelatticeboltzmannmethodforconvectiondiffusionequations |