, Volume 11, Issue 4-6, pp 221-235,
Open Access This content is freely available online to anyone, anywhere at any time.
Date: 28 Mar 2008

Computing three-dimensional two-phase flows with a mass-conserving level set method

Abstract

A method is described to compute three- dimensional two-phase flow, allowing large density ratios and coalescence and break-up of bubbles. The level set method is used to describe interfaces, and the volume-of-fluid method is used to ensure mass conservation. Efficiency in computing the interface dynamics is achieved by using a functional relation between the level set and volume-of-fluid functions. Difficulties and remedies in re-initialization of the level set function and inaccurate compution of surface tension are discussed. Test cases for validation are described, and demanding two-bubble computations to show the generality and the versatility of the method are presented.

Communicated by G. Wittum.
Dedicated to Wolfgang Hackbusch on the occasion of his 60th birthday.
Supported by the Netherlands Organization for Scientific Research (NWO).