VOF Introduction

[李东岳]

On the VOF method for sharp interface and bounded phase fraction: derivation, discretization and implementation in OpenFOAM

The volume of fluid (VOF) method was extensively used to capture phase interface multiphase problems \cite{hirt1981volume}. In VOF method, the fluids on either side of the interface are marked by an indicator function, also known as phase fraction, is used to distinguish between two different fluids. In practise, several numerical aspects should be tackled in the solving procedure. The first one is that the exact position of the interface is not known explicitly and special techniques need to be applied to capture a well defined interface as part of the solution algorithm. It is quite common that the first order convection scheme (e.g., upwind scheme) would produces very diffusive results. In certain cases it may be suitable if the variable interface's exact position is not important. However, in the VOF method, a diffusive convection scheme smash the bubble/water interface shape and the predictions cannot be used. Several numerical techniques were developed to handle this problem, such as the simple line interface calculation (SLIC) \cite{noh1976slic} and the piecewise linear interface calculation (PLIC) \cite{youngs1982time}. Methods that employ these ideas give good approximation of the shape of the interface and they allow for proper calculation of the fluxes through faces of the control volumes. However, their application is often restricted to structured grids with simple shapes of the control volumes. Moreover, since estimation of a spatial orientation of the interface from the distribution of the volume fraction needs a substantial number of numerical operations, interface reconstruction methods increase the computational effort. On the other hand, the high resolution interface capturing (HRIC) \cite{muzaferija1998computation} and the compressive interface capturing scheme for arbitrary meshes (CICSAM) \cite{ubbink1999method} can also be used to predict sharp interface. Unlike geometric interface reconstruction methods, the high resolution schemes do not introduce geometrical representation of the interface but try to satisfy the aforementioned conditions by properly chosen discretization scheme.

[队长别开枪]

[李东岳]

@队长别开枪 正想找你呢，写完了发给你看看，帮找找错误或者添加点内容

[队长别开枪]

@东岳 好啊

[Samuel-Tu]

这是要出vof的书吗，还是写文章呀。正想学习一下VOF方法

[李东岳]

给合作方写的文档，基本写完了，但需要跟合作方沟通各种事宜之后才能放出来，预计3月底。写成英文的，让老外也看看，然后去我的网站，看更多的中文内容，钓鱼