A volume-amending method to improve mass conservation of level set approach for incompressible two-phase flows

• 来源期刊: 中国科学B辑(英文版)
• 年，卷（期）: 2008,（11）
• 页码范围: 1132-1140
• 页数: 9页
• 语种: 英文
• DOI: 10.1007/s11426-008-0117-1

摘要

A volume-amending method is developed both to keep the level set function as an algebraic distance function and to preserve the bubble mass in a level set approach for incompressible two-phase flows with the significantly deformed free interface. After the traditional reinitialization procedure, a vol-ume-amending method is added for correcting the position of the interface according to mass loss/gain error until the mass error falls in the allowable range designated in advance. The level set approach with this volume-amending method incorporated has been validated by three test cases: the motion of a single axisymmetrical bubble or drop in liquid, the motion of a two-dimensional water drop falling through the air into a water pool, and the interactional motion of two buoyancy-driven three-dimensional deformable bubbles. The computational results with this volume-amending method in-corporated are in good agreement with the reported experimental data and the mass is well preserved in all cases.