基于Level Set方法对油水和气水两相界面的数值模拟

Numerical simulation of oil-water and air-water two-phase flow based on level set methods

为研究两相界面迁移特性,基于LevelSet方法,建立了求解非定常不可压缩两相界面流动的数值方法。计算中使用结构化网格采用LevelSet函数捕捉两相界面。通过对经典算例的模拟,验证了数值方法对界面捕捉的有效性和精确性。模拟了油滴在水中上升、变形,与油层融合的过程,研究了气泡在产生、发展、脱离阶段的变形机理,和表面张力系数对气泡形状的影响。计算结果发现,表面张力系数越大,气泡在发展阶段持续的时间就越长,膨胀的程度也越大,并在脱离时刻,气泡的体积也越大,为进一步研究两相界面迁移特性提供了新的途径。

Based on the Level Set method,numerical simulation is presented to simulate incompressible two-phase interfacial flows.The Level Set function is employed to capture the interface of two-phase flows in structured grids.The classical case is simulated to validate the accuracy of this method.The simulation result shows that this method has a good capability to capture the complex flow structure between the two-phase interfaces.Finally,the oil-water and air-water two-phase interfacial motions are studied by using the numerical method.The processes of bubble rising,development and detachment are simulated,and the surface tension coefficient is studied in detail in this paper.The bigger the surface tension coefficient is,the longer the time of bubble in development is.