| Non—equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method |
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| 引用本文： | 郭照立,郑楚光,施保昌.Non—equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method[J].中国物理 B,2002,11(4):366-374. |
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| 作者姓名： | 郭照立 郑楚光 施保昌 |
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| 作者单位： | National Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China;National Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China;Department of Mathematics, Huazhong University of Science and Shenyang 110023, China |
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| 基金项目： | Project supported by the Special Funds for Major State Basic Research Programmes (Grant No G1999022207) and by the National Natural Science Foundation of China (Grant No 6073044). |
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| 摘 要： | In this paper,we propose a new approach to implementing boundary conditions in the lattice Boltzmann method (LBM).The basic idea is to decompose the distribution function at the boundary node into its equilibrium and non-equilibrium parts,and then to approximate the non-equilibrium part with a first-order extrapolation of the nonequilibrium part of the distribution at the neighbouring fluid node.Schemes for velocity and pressure boundary conditions are constructed based on this method.The resulting schemes are of second-order accuracy.Numerical tests show that the numerical solutions of the LBM together with the present boundary schemes are in excellent agreement with the analytical solutions.Second-order convergence is also verified from the results.It is also found that the numerical stability of the present schemes is much better than that of the original extrapolation schemes proposed by Chen et al.(1996 Phys.Fluids 8 2527).
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| 关 键 词： | 流体物理 玻尔兹曼法 非平衡外延法 |
| 收稿时间： | 9/1/2001 12:00:00 AM |
Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method |
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| Guo Zhao-Li,Zheng Chu-Guang and Shi Bao-Chang.Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method[J].Chinese Physics B,2002,11(4):366-374. |
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| Authors: | Guo Zhao-Li Zheng Chu-Guang and Shi Bao-Chang |
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| Institution: | Department of Mathematics, Huazhong University of Science and Shenyang 110023, China; National Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China |
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| Abstract: | In this paper, we propose a new approach to implementing boundary conditions in the lattice Boltzmann method (LBM). The basic idea is to decompose the distribution function at the boundary node into its equilibrium and non-equilibrium parts, and then to approximate the non-equilibrium part with a first-order extrapolation of the non-equilibrium part of the distribution at the neighbouring fluid node. Schemes for velocity and pressure boundary conditions are constructed based on this method. The resulting schemes are of second-order accuracy. Numerical tests show that the numerical solutions of the LBM together with the present boundary schemes are in excellent agreement with the analytical solutions. Second-order convergence is also verified from the results. It is also found that the numerical stability of the present schemes is much better than that of the original extrapolation schemes proposed by Chen et al. (1996 Phys. Fluids 8 2527). |
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| Keywords: | Lattice Boltzmann method Boundary conditions |
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