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Note on Invariance of One-Dimensional Lattice-Boltzmann Equation |
| RAN Zheng |
| Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072 |
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| Cite this article: |
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RAN Zheng 2007 Chin. Phys. Lett. 24 3332-3335 |
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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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Received: 03 July 2007
Published: 03 December 2007
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