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Modified Surface Tension Model for Free Surface Flow with Single-Phase Lattice Boltzmann Method
  • 期刊名称:Journal of Shanghai University(english Edition)
  • 时间:0
  • 页码:145-149
  • 分类:O357.3[理学—流体力学;理学—力学] U661.1[交通运输工程—船舶及航道工程;交通运输工程—船舶与海洋工程]
  • 作者机构:[1]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China, [2]Department of Mathematics, University of Texas at Arlington, Arlington 76019, Texas, USA, [3]School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China, [4]State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, P. R. China
  • 相关基金:Project supported by the National Natural Science Foundation of China (Grant Nos.10625210, 50609020 and 10902070), and the Leading Academic Discipline Project of Shanghai Municipal Education Commission (Grant No.J50501)
  • 相关项目:翼型空化流动的介观模型研究
中文摘要:

有修改表面紧张的一个单相的格子 Boltzmann 模型在这份报纸被开发解决 high-density-ratio 的问题免费表面流动。计算效率和精确性两个都被提高。限制到松驰因素(它需要比 1 小) 被新表面紧张代数学围绕,由于它的合理物理性质与在他们的纸的 Xing, Buther 和杨的处理相比(Comp。母亲。Sci, 2007, 39 (2 ) :282290 ) 。建议稳定的表面紧张计划被使用与表面紧张效果和在一部液体电影上侵犯的微滴的过程模仿方形的微滴的免费变丑。微滴的免费变丑的数字解决方案与热力学的原则同意很好,并且也与 Xing 比较完成高精确性, et al.s 模型。三个典型侵犯模式成功地与新计划被获得,并且另一个特别模式由王发现了,陈成功地也被模仿。液体王冠的进化与与时间有关的幂定律同意很好。

英文摘要:

A single-phase lattice Boltzmann model with modified surface tension is developed in this paper to solve the problem of high-density-ratio free surface flow.The computational efficiency and accuracy are both enhanced.The restriction to the relaxation factor (which needs to be smaller than 1) is circumvented by the new surface tension algebra,due to its rational physical nature compared with the treatment of Xing,Buther and Yang in their paper (Comp.Mater.Sci.,2007,39(2):282-290).The proposed stable surface tension scheme is applied to simulate the free deformation of a square droplet with surface tension effect and the process of a droplet impinging on a liquid film.The numerical solution for free deformation of a droplet agrees well with thermodynamic principles,and also achieves high accuracy in comparison with Xing,et al.'s model.Three typical impinging modes are successfully obtained with the new scheme,and another particular mode found by Wang and Chen is also successfully simulated.The evolutions of liquid crown agree well with the power law related to time.

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