Applications of level set method in computational fluid dynamics: a review

IF 5.3 Q1 ENGINEERING, MECHANICAL International Journal of Hydromechatronics Pub Date : 2023-01-01 DOI:10.1504/ijhm.2023.129126
Hongwei Ning, Shizhi Qian, Teng Zhou
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引用次数: 1

Abstract

Tracking of free interfaces in two-phase and multi-phase fluids is a critical step in computational fluid dynamics. Among the many methods, because of no need for parameterisation of curves and an excellent solution to the problem of evolutionary curve topology change, the level set method (LSM) is widely used in the field and has achieved good results. The paper reviews applications of LSM in the tracking of free interfaces, including theory fundamental, solving the basic partial differential equation used to represent fluids in LSM, free interfaces tracking of two-phase fluids, interfaces evolutions of multi-phase fluids, and coupling with other methods to increase tracking performance. Based on the summaries, we confirm the level set method has achieved excellent results in fluid interface tracking either alone or coupled with other algorithms. Of course, the level set method requires further optimisation in terms of initialisation and mass conservation.
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水平集方法在计算流体力学中的应用综述
两相和多相流体中自由界面的跟踪是计算流体动力学中的一个关键步骤。在众多方法中,水平集方法由于不需要对曲线进行参数化,并且很好地解决了曲线拓扑变化的演化问题,在该领域得到了广泛的应用,并取得了良好的效果。本文综述了LSM在自由界面跟踪中的应用,包括理论基础、求解LSM中表示流体的基本偏微分方程、两相流体的自由界面跟踪、多相流体的界面演变以及与其他方法的耦合以提高跟踪性能。综上所述,我们证实水平集方法无论是单独使用还是与其他算法结合使用,在流体界面跟踪方面都取得了很好的效果。当然,水平集方法需要在初始化和质量守恒方面进一步优化。
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来源期刊
CiteScore
7.60
自引率
0.00%
发文量
32
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