采用保守艾伦-卡恩模型的多相晶格玻尔兹曼流量求解器,用于模拟高密度比流动

IF 1.7 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Z. Chen, Y. H. Sun
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引用次数: 0

摘要

本文提出了 Allen-Cahn 多相晶格玻尔兹曼通量求解器(AC-MLBFS),作为一种新的、有效的高密度比多相流数值模拟方法。MLBFS 采用有限体积法求解宏观调控方程,并根据晶格玻尔兹曼方程的局部解重建单元界面上的数值通量,它结合了传统纳维-斯托克斯求解器和晶格玻尔兹曼方法在模拟不可压缩多相流方面的优势,同时缓解了它们的局限性。以前基于 MLBFS 的多相求解器在质量守恒方面表现不佳,这可能是由于用作界面跟踪算法的 Cahn-Hilliard 模型中数值扩散过多造成的。为了解决这个问题,本方法提出使用保守的 Allen-Cahn 模型作为界面跟踪算法,它可以通过去除高阶导数项来简化数值执行,并通过在物理模型中强制执行局部质量守恒来减轻质量泄漏。数值验证将通过高密度比和大雷诺数或韦伯数极端条件下的基准测试来进行。通过这些例子,将证明所提方法的准确性和稳健性以及质量守恒特性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Multiphase lattice Boltzmann flux solver with conservative Allen-Cahn model for modeling high-density-ratio flows

Multiphase lattice Boltzmann flux solver with conservative Allen-Cahn model for modeling high-density-ratio flows

Multiphase lattice Boltzmann flux solver with conservative Allen-Cahn model for modeling high-density-ratio flows

In this paper, the Allen-Cahn-Multiphase lattice Boltzmann flux solver (AC-MLBFS) is proposed as a new and effective numerical simulation method for multiphase flows with high density ratios. The MLBFS resolves the macroscopic governing equations with the finite volume method and reconstructs numerical fluxes on the cell interface from local solutions to the lattice Boltzmann equation, which combines the advantages of conventional Navier–Stokes solvers and lattice Boltzmann methods for simulating incompressible multiphase flows while alleviating their limitations. Previous MLBFS-based multiphase solvers performed poorly in mass conservation, which might be caused by the excessive numerical diffusion in the Cahn-Hilliard (CH) model used as the interface tracking algorithm. To resolve this problem, the present method proposes using the conservative Allen-Cahn (AC) model as the interfacial tracking algorithm, which can ease the numerical implementation by removing high order derivative terms and alleviate mass leakage by enforcing local mass conservation in the physical model. Numerical validations will be carried out through benchmark tests at high density ratios and in extreme conditions with large Reynolds or Weber numbers. Through these examples, the accuracy and robustness as well as the mass conservation characteristics of the proposed method are demonstrated.

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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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