A method for overcoming the surface tension time step constraint in multiphase flows II

作者：Sussman M^*

来源：International Journal for Numerical Methods in Fluids, 2012, 68(11): 1343-1361.

DOI：10.1002/fld.2557

• level set method
• volume of fluid method
• two-phase flow
• motion by mean curvature
• surface tension
• contact angle dynamics

A method for overcoming the surface tension time step constraint is presented. The algorithm presented in this work is an improvement on the work presented by Sussman and Ohta (SIAM J Sci Comput 2009). In this work, the method of Sussman and Ohta is extended in order to treat problems with contact angle dynamics. Furthermore, this work presents a more efficient method for computing volume-preserving motion by mean curvature than the method presented previously. The new method is tested on the following four 2D problems: (1) 3D axisymmetric (r-z) surface tension driven zero gravity droplet oscillation, (2) measurement of the magnitude of parasitic currents for a droplet on a substrate initialized in static equilibrium, (3) relaxation of a 2D droplet on a substrate to static shape, and (3) relaxation of a 2D bubble on a substrate to static shape.

• 出版日期2012-4-20