Tavares H S, Biferale L, Sbragaglia M, Mailybaev A A
Instituto de Matemática Pura e Aplicada - IMPA, Rio de Janeiro, Brazil.
Interdisciplinary Center of Fluid Dynamics (NIDF), Federal University of Rio de Janeiro (UFRJ), Rio de Janeiro, Brazil.
Philos Trans A Math Phys Eng Sci. 2021 Oct 18;379(2208):20200396. doi: 10.1098/rsta.2020.0396. Epub 2021 Aug 30.
We develop a multicomponent lattice Boltzmann (LB) model for the two-dimensional Rayleigh-Taylor turbulence with a Shan-Chen pseudopotential implemented on GPUs. In the immiscible case, this method is able to accurately overcome the inherent numerical complexity caused by the complicated structure of the interface that appears in the fully developed turbulent regime. The accuracy of the LB model is tested both for early and late stages of instability. For the developed turbulent motion, we analyse the balance between different terms describing variations of the kinetic and potential energies. Then we analyse the role of the interface in the energy balance and also the effects of the vorticity induced by the interface in the energy dissipation. Statistical properties are compared for miscible and immiscible flows. Our results can also be considered as a first validation step to extend the application of LB model to three-dimensional immiscible Rayleigh-Taylor turbulence. This article is part of the theme issue 'Progress in mesoscale methods for fluid dynamics simulation'.
我们开发了一种多组分格子玻尔兹曼（LB）模型，用于二维瑞利 - 泰勒湍流，并在图形处理器（GPU）上实现了具有山 - 陈伪势的模型。在不混溶的情况下，该方法能够准确克服在充分发展的湍流状态下出现的复杂界面结构所导致的固有数值复杂性。LB模型的准确性在不稳定性的早期和晚期阶段都进行了测试。对于已发展的湍流运动，我们分析了描述动能和势能变化的不同项之间的平衡。然后，我们分析了界面在能量平衡中的作用，以及界面诱导的涡度在能量耗散中的影响。比较了混溶和不混溶流动的统计特性。我们的结果也可被视为将LB模型应用扩展到三维不混溶瑞利 - 泰勒湍流的第一步验证。本文是“流体动力学模拟中尺度方法的进展”主题特刊的一部分。
