摘要
采用基于MAC交错网格的变密度投影方法求解Navier-Stokes方程以及用VOF/PLIC方法追踪运动界面,直接模拟了capillary wave算例和经典的平面混合层算例,计算结果与精确解以及已有的研究结果符合良好.同时计算了含表面张力的两相平面剪切流动模型和平面迹模型,直接验证了已有文献的结果,并发现了平面迹失稳破碎过程中的相邻涡和相邻峰的合并现象.
The Navier-Stokes equations were solved on a marker-and-cell (MAC) staggered finite-difference grid together with a projection algorithm for the pressure, and a VOF/PLIC method was used to capture the motion of interfaces. Examples and verifications of the method were given by comparing simulations with analytical results and other numerical solutions, for capillary waves and two dimensional shear flows at finite Reynolds number. In the case of two-dimensional wakes, combinations of the adjacent vortices and the adjacent crests of waves can be observed on the breaking process.
基金
国家自然科学基金(10172082)资助