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Volume 27, Issue 4
Development of a Volume of Fluid Method for Computing Interfacial Incompressible Fluid Flows

Zhenghua Gu, Yuan Yao, Ching-Hao Yu & Ruidong An

DOI: 10.4208/cicp.OA-2019-0003

Commun. Comput. Phys., 27 (2020), pp. 1076-1114.

Published online: 2020-02

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  • Abstract

This study is aimed to develop a volume of fluid (VOF) method to capture the free surface flow. The incompressible two-phase flow is computed by second-order Adams-Bashforth algorithm with a uniform staggered Cartesian grid arrangement. The tangent of hyperbola for interface capturing (THINC) scheme and weighted linear interface calculation (WLIC) based geometrical reconstruction procedure have been implemented in the operator-splitting method for the VOF method. The proposed VOF method preserves mass well, and the interface normal vector can be easily estimated from the level set (LS) function. The LS function, which is a continuous signed distance function around the interface, is represented by solving the re-initialization equation. Numerical results using the present scheme are compared with experimental data and other numerical results in the Rayleigh-Taylor instability, dam-break flow, travelling solitary wave, Kelvin-Helmholtz instability, rising bubble and merging bubble problems. We also present numerical results in detail between computations made with the proposed VOF method and computations made with the conventional LS method.

  • Keywords

Volume of fluid, free surface flow, THINC, WLIC, level set function.

  • AMS Subject Headings

35Q30, 76D05, 76D27, 76M20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

WISE@zju.edu.cn (Zhenghua Gu)

965485906@qq.com (Yuan Yao)

chyu@zju.edu.cn (Ching-Hao Yu)

anruidong@scu.edu.cn (Ruidong An)

  • BibTex
  • RIS
  • TXT
@Article{CiCP-27-1076, author = {Gu , ZhenghuaYao , YuanYu , Ching-Hao and An , Ruidong}, title = {Development of a Volume of Fluid Method for Computing Interfacial Incompressible Fluid Flows }, journal = {Communications in Computational Physics}, year = {2020}, volume = {27}, number = {4}, pages = {1076--1114}, abstract = {

This study is aimed to develop a volume of fluid (VOF) method to capture the free surface flow. The incompressible two-phase flow is computed by second-order Adams-Bashforth algorithm with a uniform staggered Cartesian grid arrangement. The tangent of hyperbola for interface capturing (THINC) scheme and weighted linear interface calculation (WLIC) based geometrical reconstruction procedure have been implemented in the operator-splitting method for the VOF method. The proposed VOF method preserves mass well, and the interface normal vector can be easily estimated from the level set (LS) function. The LS function, which is a continuous signed distance function around the interface, is represented by solving the re-initialization equation. Numerical results using the present scheme are compared with experimental data and other numerical results in the Rayleigh-Taylor instability, dam-break flow, travelling solitary wave, Kelvin-Helmholtz instability, rising bubble and merging bubble problems. We also present numerical results in detail between computations made with the proposed VOF method and computations made with the conventional LS method.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2019-0003}, url = {http://global-sci.org/intro/article_detail/cicp/14827.html} }
TY - JOUR T1 - Development of a Volume of Fluid Method for Computing Interfacial Incompressible Fluid Flows AU - Gu , Zhenghua AU - Yao , Yuan AU - Yu , Ching-Hao AU - An , Ruidong JO - Communications in Computational Physics VL - 4 SP - 1076 EP - 1114 PY - 2020 DA - 2020/02 SN - 27 DO - http://doi.org/10.4208/cicp.OA-2019-0003 UR - https://global-sci.org/intro/article_detail/cicp/14827.html KW - Volume of fluid, free surface flow, THINC, WLIC, level set function. AB -

This study is aimed to develop a volume of fluid (VOF) method to capture the free surface flow. The incompressible two-phase flow is computed by second-order Adams-Bashforth algorithm with a uniform staggered Cartesian grid arrangement. The tangent of hyperbola for interface capturing (THINC) scheme and weighted linear interface calculation (WLIC) based geometrical reconstruction procedure have been implemented in the operator-splitting method for the VOF method. The proposed VOF method preserves mass well, and the interface normal vector can be easily estimated from the level set (LS) function. The LS function, which is a continuous signed distance function around the interface, is represented by solving the re-initialization equation. Numerical results using the present scheme are compared with experimental data and other numerical results in the Rayleigh-Taylor instability, dam-break flow, travelling solitary wave, Kelvin-Helmholtz instability, rising bubble and merging bubble problems. We also present numerical results in detail between computations made with the proposed VOF method and computations made with the conventional LS method.

Zhenghua Gu, Yuan Yao, Ching-Hao Yu & Ruidong An. (2020). Development of a Volume of Fluid Method for Computing Interfacial Incompressible Fluid Flows . Communications in Computational Physics. 27 (4). 1076-1114. doi:10.4208/cicp.OA-2019-0003
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