| Note on Invariance of One-Dimensional Lattice-Boltzmann Equation |
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| 作者姓名： | 冉政 |
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| 作者单位： | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant Nos 10272018 and 10572083, the Shanghai Leading Academic Discipline Project under Grant No Y0103, and the Science Foundation of Shanghai Municipal Commission of Education. |
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| 摘 要： | Invariance of the one-dimensional lattice Boltzmann model is proposed together with its rigorous theoretical background. It is demonstrated that the symmetry inherent in Navier-Stokes equations is not really recovered in the one-dimensional lattice Boltzmann equation （LBE）, especially for shock calculation. Symmetry breaking may be the inherent cause for the non-physical oscillations in the vicinity of the shock for LBE calculation.
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| 关 键 词： | Boltzmann方程 晶格 不变性 对称性 |
| 收稿时间： | 2007-07-03 |
Note on Invariance of One-Dimensional Lattice-Boltzmann Equation |
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| RAN Zheng.Note on Invariance of One-Dimensional Lattice-Boltzmann Equation[J].Chinese Physics Letters,2007,24(12):3332-3335. |
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| Authors: | RAN Zheng |
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| Institution: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072 |
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| Abstract: | Invariance of the one-dimensional lattice Boltzmann model is proposed together with its rigorous theoretical background. It is demonstrated that the symmetry inherent in Navier--Stokes equations is not really recovered in the one-dimensional lattice Boltzmann equation (LBE), especially for shock calculation. Symmetry breaking may be the inherent cause for the non-physical oscillations in the vicinity of the shock for LBE calculation. |
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| Keywords: | 04 60 Nc 47 40 -x 47 11 Qr |
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