Numerical simulation of fluid flow and heat transfer inside a rotating disk-cylinder configuration by a lattice Boltzmann model.
Numerical simulation of fluid flow and heat transfer inside a rotating disk-cylinder configuration by a lattice Boltzmann model.
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DOI：
10.1103/physreve.80.016702
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发表时间：
2009-07
期刊：
影响因子：
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通讯作者：
Sheng Chen;J. Tölke;M. Krafczyk
中科院分区：
文献类型：
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作者：
Sheng Chen;J. Tölke;M. Krafczyk
本文提出了一种简单的格子Boltzmann模型，用于数值模拟旋转盘-柱结构内的流体流动和传热，这在科学和工程上都具有重要意义。与现有的基于“连续变量”Navier-Stokes方程的格子Boltzmann模型不同，本模型的目标宏观方程是涡量流函数方程，这是受到我们最近为非旋转流动设计的工作的启发[S. Chen，J. Tölke，and M. Krafczyk，Phys.Rev.E79，016704（2009）; S. Chen，J. Tölke，S. Geller和M. Krafczyk，Phys.Rev.E78，046703（2008）]。流场和温度场均采用D2 Q5模型求解。与以往的模型相比，该模型具有效率高、稳定性好、结构简单等优点。结果表明，即使在网格分辨率较低的情况下，该模型在Grashof数很高的情况下仍能很好地工作。数值试验验证了该模型的优越性。
A simple lattice Boltzmann model for numerical simulation of fluid flow and heat transfer inside a rotating disk-cylinder configuration, which is of fundamental interest and practical importance in science as well as in engineering, is proposed in this paper. Unlike existing lattice Boltzmann models for such flows, which were based on "primitive-variable" Navier-Stokes equations, the target macroscopic equations of the present model for the flow field are vorticity-stream function equations, inspired by our recent work designed for nonrotating flows [S. Chen, J. Tölke, and M. Krafczyk, Phys. Rev. E 79, 016704 (2009); S. Chen, J. Tölke, S. Geller, and M. Krafczyk, Phys. Rev. E 78, 046703 (2008)]. The flow field and the temperature field both are solved by the D2Q5 model. Compared with the previous models, the present model is more efficient, more stable, and much simpler. It was found that, even though with a relatively low grid resolution, the present model can still work well when the Grashof number is very high. The advantages of the present model are validated by numerical experiments.