Coupled dynamics of quantized vortices and normal fluid in superfluid 4He based on the lattice Boltzmann method

Coupled dynamics of quantized vortices and normal fluid in superfluid 4He based on the lattice Boltzmann method
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基于格子Boltzmann方法的超流体4He中量子化涡流与正常流体的耦合动力学

DOI:
10.1103/physrevb.104.214503
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发表时间:
2021
期刊:
影响因子:
3.7
通讯作者:
Tsubota Makoto
Tsubota Makoto
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Inui Sosuke;Tsubota Makoto

文献摘要

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采用基于涡丝模型和格子Boltzmann方法的数值方法,研究了有限温度下超流体中量子化涡旋与正常流体的耦合动力学。LBM允许我们只用局部操作来模拟流体流动,即,不是直接求解Navier-stoles(NS)方程,而是将流体流动视为网格上位置上的介观粒子之间的对流。尽管He II的双流体性质使其流动变得复杂,但在LBM中对正常流体的粒子化处理显著降低了复杂性。通过与直接NS模拟结果的比较,我们证实了所提出的数值方法再现了典型的流动结构。我们还证明了所提出的计算方法适用于具有固体边界的热逆流模拟,以阐明封闭通道中加热器附近的热边界层。
We investigate the coupled dynamics of quantized vortices and normal fluid in superfluidat finite temperatures using a numerical approach based on the vortex filament model and lattice Boltzmann method (LBM). The LBM allows us to simulate a fluid flow with only local operations, i.e., rather than solving the Navier–Stoles (NS) equations directly, a fluid flow is considered a convection of mesoscopic particles between sites on a lattice grid. Although the two-fluid nature of He II makes its flow complex, the particlelike treatment of the normal fluid in the LBM significantly reduces the complexity. We confirm, by comparing to results obtained with direct NS simulations, that the proposed numerical approach reproduces characteristic flow structures. We also demonstrate that the proposed computational approach is suitable for a thermal counterflow simulation with a solid boundary to elucidate a thermal boundary layer near a heater in a closed channel.