A modified forcing approach in the Rothman–Keller method for simulations of flow phenomena at low capillary numbers

IF 1.7 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Anand Sudha, Martin Rohde
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引用次数: 0

Abstract

The lattice-Boltzmann method (LBM) is becoming increasingly popular for simulating multi-phase flows on the microscale because of its advantages in terms of computational efficiency. Many applications of the method are restricted to relatively simple geometries. When a more complex geometry is considered—circular and inclined microchannels—some important physical phenomena may not be accurately captured, especially at low capillary numbers. A Y-Y micro-fluidic channel, widely used for a range of applications, is an example of a more complex geometry. This work aims to capture the various flow phenomena, with an emphasis on parallel flow and leakage, using the Rothman–Keller (RK) model of the LBM. To this purpose, we modify the forcing term to implement the surface tension for use at low capillary numbers. We compare the simulation results of the RK model with and without the force modification with experiments, Volume of Fluid and the phase field method and observe that the modified forcing term is an improvement over the current RK model at low capillary numbers, and it also captures parallel flow and leakage more accurately than the other simulation techniques.

Abstract Image

Abstract Image

用于模拟低毛细管数流动现象的罗斯曼-凯勒方法中的修正强迫法
晶格-玻尔兹曼方法(LBM)因其在计算效率方面的优势,在模拟微尺度多相流方面越来越受欢迎。该方法的许多应用仅限于相对简单的几何形状。当考虑到更复杂的几何形状(圆形和倾斜的微通道)时,一些重要的物理现象可能无法准确捕捉,特别是在毛细管数量较低的情况下。广泛用于各种应用的 Y-Y 型微流体通道就是一个更复杂几何形状的例子。这项工作旨在利用 LBM 的 Rothman-Keller (RK) 模型捕捉各种流动现象,重点是平行流和泄漏。为此,我们修改了强制项,以实现低毛细管数时的表面张力。我们比较了 RK 模型与实验、流体体积法和相场法的模拟结果,发现在毛细管数较低时,修改后的强制项比当前的 RK 模型有所改进,而且与其他模拟技术相比,它能更准确地捕捉平行流和泄漏现象。
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来源期刊
International Journal for Numerical Methods in Fluids
International Journal for Numerical Methods in Fluids 物理-计算机:跨学科应用
CiteScore
3.70
自引率
5.60%
发文量
111
审稿时长
8 months
期刊介绍: The International Journal for Numerical Methods in Fluids publishes refereed papers describing significant developments in computational methods that are applicable to scientific and engineering problems in fluid mechanics, fluid dynamics, micro and bio fluidics, and fluid-structure interaction. Numerical methods for solving ancillary equations, such as transport and advection and diffusion, are also relevant. The Editors encourage contributions in the areas of multi-physics, multi-disciplinary and multi-scale problems involving fluid subsystems, verification and validation, uncertainty quantification, and model reduction. Numerical examples that illustrate the described methods or their accuracy are in general expected. Discussions of papers already in print are also considered. However, papers dealing strictly with applications of existing methods or dealing with areas of research that are not deemed to be cutting edge by the Editors will not be considered for review. The journal publishes full-length papers, which should normally be less than 25 journal pages in length. Two-part papers are discouraged unless considered necessary by the Editors.
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