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A pressure-evolution-based multi-relaxation-time high-density-ratio two-phase lattice-Boltzmann model

机译:基于压力演化的多重弛豫时间高密度比两相晶格-玻尔兹曼模型

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摘要

Two of the major challenges in extending the application of multiphase lattice-Boltzmann (LB) models to realistic fluid flow simulations are their numerical instability at high liquid-to-gas density ratios, and at low viscosities. In this paper, a model, recently presented in the literature, for simulating high-density ratios is extended to lower viscosities by employing multiple-relaxation-times for particle collision. In applying the multiple-relaxation-time (MRT) model, the collision term is treated explicitly and the three-step solution procedure suggested by the prior author is employed. The model is evaluated by verifying the Laplace-Young relation for a static infinitely long liquid cylinder, comparing frequency of oscillations of an initially elliptic cross-section liquid cylinder with analytic values and comparing the behavior of a two-dimensional (2D) planar drop impinging on a wet wall with prior results. The results show satisfactory agreement with available data, and a significant gain in numerical stability.
机译:将多相晶格-玻尔兹曼(LB)模型的应用扩展到现实的流体模拟中的两个主要挑战是它们在高液/气密度比和低粘度下的数值不稳定性。在本文中,文献中最近提出的一种用于模拟高密度比的模型通过使用多个松弛时间进行粒子碰撞而扩展到了较低的粘度。在应用多重放松时间(MRT)模型时,冲突项得到了明确处理,并采用了先前作者提出的三步求解程序。通过验证静态无限长圆柱的Laplace-Young关系,将初始椭圆形截面圆柱的振荡频率与解析值进行比较以及比较二维(2D)平面液滴撞击的行为来评估模型在潮湿的墙壁上具有先验结果。结果显示与现有数据令人满意的一致性,并且在数值稳定性上有显着提高。

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