Development of a Volume of Fluid Method for Computing Interfacial Incompressible Fluid Flows

Development of a Volume of Fluid Method for Computing Interfacial Incompressible Fluid Flows

Year:    2020

Author:    Zhenghua Gu, Yuan Yao, Ching-Hao Yu, Ruidong An

Communications in Computational Physics, Vol. 27 (2020), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2019-0003

Communications in Computational Physics, Vol. 27 (2020), Iss. 4 : pp. 1076–1114

Published online:    2020-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    39

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

Author Details

Zhenghua Gu

Yuan Yao

Ching-Hao Yu

Ruidong An

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