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中国工业与应用数学学会会刊
主管：中华人民共和国教育部
主办：西安交通大学
ISSN 1005-3085  CN 61-1269/O1
工程数学学报

工程数学学报 ›› 2015, Vol. 32 ›› Issue (5): 697-708.doi: 10.3969/j.issn.1005-3085.2015.05.008

• • 上一篇    下一篇

运动界面追踪的CVOFLS方法

周   文,   欧阳洁,   崔立营   

  1. 西北工业大学理学院，西安  710129
  • 收稿日期:2013-02-27 接受日期:2013-08-26 出版日期:2015-10-15 发布日期:2015-12-15
  • 通讯作者: 欧阳洁 E-mail: jieouyang@nwpu.edu.cn
  • 基金资助:
    国家重点基础研究发展计划 (2012CB025903).

A Coupled Volume of Fluid and Level Set (CVOFLS) Method for Tracking Moving Interfaces

ZHOU Wen,   OUYANG Jie,   CUI Li-ying   

  1. School of Science, Northwestern Polytechnical University, Xi'an 710129
  • Received:2013-02-27 Accepted:2013-08-26 Online:2015-10-15 Published:2015-12-15
  • Contact: J. Ouyang. E-mail address: jieouyang@nwpu.edu.cn
  • Supported by:
    The State Key Development Program for Basic Research of China (2012CB025903).

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摘要： 针对VOF方法中界面法向量计算不准确和level set方法中界面质量守恒性差的缺陷，本文提出了一种新的界面捕捉方法---CVOFLS(coupled volume of fluid and level set)方法．该方法吸收了VOF和level set两种方法的优点，在每个时间步内，首先求解level set输运方程，根据level set符号距离函数计算界面法向量；然后求解VOF输运方程，根据流体体积分数重构界面并校正流体质量．Zalesak圆盘旋转及圆面剪切的数值模拟表明，该方法能准确捕捉复杂的界面演化过程，具有良好的质量守恒性，并可以提高计算效率．

关键词: 运动界面, level set方法, VOF, 质量守恒, 效率

Abstract:

A new coupled volume of fluid and level set (CVOFLS) method is proposed to capture the moving interface, in order to improve both the inaccurate evaluation of the interface normal vector in volume of fluid (VOF) method and the poor mass conservation ability in level set (LS) method. The method takes the advantages of the VOF method and the LS method. At each time step, the LS equation is solved at first, and the interface normal vector is evaluated via the LS signed distance function. Then the VOF equation is evaluated, and the interface reconstruction and the mass correction are performed by the volume fraction. The method is applied in some benchmark cases, such as rotation of the Zalesak's disk, and stretching and shrinking of a circular fluid element. The numerical results indicate that the proposed CVOFLS method not only accurately captures the complex interface evolution and preserves the mass conservation, but also greatly improves the computational efficiency.

Key words: moving interface, level set method, VOF, mass conservation, efficiency

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