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Volume of fluid methods for immiscible-fluid and free-surface flows

机译:不混溶流体和自由表面流动的流体方法体积

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This article reviews and analyzes a number of numerical methods to track interfaces in multiphase flows. Several interface tracking methods can be found in literature: the level-set method, the marker particle method, the front tracking method and the volume of fluid method (VOF) to name a few. The volume of fluid method has an advantage of being conceptually simple, reasonably accurate and phenomena such as interface breakup and coalescence are inherently included. Over the years a number of different techniques to implement the VOF method have been devised. This article gives a basic introduction to the VOF method and focuses on four VOF methods: flux-corrected transport (FCT) by Boris et al. [J.P. Boris, D.L. Book, Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works, J. Comput. Phys. 11 (1973) 38-69], Lagrangian piecewise linear interface construction (L-PLIC) by van Wachem and Schouten [B.G.M. van Wachem, J.C. Schouten, Experimental validation of 3-d Lagrangian VOF model: bubble shape and rise velocity, AIChE 48 (12) (2002) 2744-2753], Compressive interface capturing scheme for arbitrary meshes (CICSAM) by Ubbink [O. Ubbink, Numerical prediction of two fluid systems with sharp interfaces, Ph.D. Thesis, Imperial College of Science, Technology and Medicine, 1997] and inter-gamma scheme by Jasak and Weller [H. Jasak, H.G. Weller, Interface-tracking capabilities of the InterGamma differencing scheme, Technical Report, Imperial College, University of London, 1995]. A detailed description of these schemes is given and implemented into an in-house fully coupled solver. Further, the performance of these schemes is examined employing a number of tests to analyze their strengths and weaknesses. Their advantages and limitations are discussed.
机译:本文回顾并分析了许多数值方法来跟踪多相流中的界面。在文献中可以找到几种界面跟踪方法:水平集方法,标记粒子方法,前部跟踪方法和流体体积方法(VOF)等。体积法的优点是概念上简单,合理准确,并且固有地包括诸如界面破裂和合并的现象。多年来,已经设计出许多不同的技术来实现VOF方法。本文对VOF方法进行了基本介绍,重点介绍了四种VOF方法:Boris等人的通量校正传输(FCT)。 [J.P。鲍里斯(DL)预定,经过通量校正的运输。 I:SHASTA,一种有效的流体传输算法,J。Comput。物理11(1973)38-69],van Wachem和Schouten提出的拉格朗日分段线性界面构造(L-PLIC)[B.G.M. van Wachem,J.C. Schouten,3-d拉格朗日VOF模型的实验验证:气泡形状和上升速度,AIChE 48(12)(2002)2744-2753],任意网格的压缩界面捕获方案(CICSAM),作者:Ubbink [O. Ubbink,具有尖锐界面的两个流体系统的数值预测,博士学位。论文,帝国理工学院和医学,1997年)和Jasak和Weller的伽玛间计划[H. Jasak,H.G. Weller,InterGamma差分方案的接口跟踪功能,技术报告,伦敦大学帝国学院,1995年]。给出了这些方案的详细说明,并将其实施到内部完全耦合的求解器中。此外,通过大量测试来分析这些方案的性能,以分析其优缺点。讨论了它们的优点和局限性。

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