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基于Level Set方法建立了双层流体热毛细对流的数学模型,通过变密度二阶投影法求解控制方程,C-N隐式技术用于扩散项更新,三阶龙格库塔技术用于对流项的更新,采用连续表面张力模型(CSF)模拟Marangoni效应。三维数值模拟了微重力环境下双层流体系统中交界面变形的热毛细对流,结果显示,在Marangoni效应的作用下,交界面在热端凸起,在冷端凹陷;随着Marangoni数增大,双层流体交界面的变形率随之增大,对流强度也随之增大;交界面与壁面的接触条件会影响热毛细对流的流场和温度场。
Based on the method of Level Set, a mathematical model of double-layer fluid thermocapillary convection was established. The governing equations were solved by variable-density second-order projection method. CN implicit technique was used to update diffusion term. Third-order Runge-Kutta technique was used to update convection term , A continuous surface tension model (CSF) was used to simulate the Marangoni effect. Three-dimensional numerical simulation of the thermocapillary convection at the interface of a two-layer fluid system in a microgravity environment shows that under the action of the Marangoni effect, the interface is convex at the hot end and sags at the cold end. As the Marangoni number increases The deformation rate of double fluid interface increases with the increase of convective strength, and the contact condition between the interface and the wall will affect the flow field and temperature field of convection.