论文标题
使用带有隐式表面张力的耦合VOF方法违反毛细管时步约束
Breaching the capillary time-step constraint using a coupled VOF method with implicit surface tension
论文作者
论文摘要
毛细管时间阶段的限制是在许多与表面张力的界面流的模拟中，对适用的时步的主要限制，因此控制了这些模拟的执行时间。我们提出了一种完全耦合的基于压力的算法，该算法基于代数量量（VOF）方法，并与隐式线性化的表面张力处理结合使用，该方法可能会违反毛细管时间键入限制。界面的对流与单个线性方程系统中界面流的动量和连续性方程一起解决，从而在压力，速度和用于区分相互作用流体的VOF颜色函数之间提供隐式耦合。表面张力是通过连续表面力（CSF）模型的隐式配方处理的，从而将界面曲率和颜色函数的梯度均相对于颜色函数进行隐式处理。提出的结果表明，只要满足其他相关的时步限制，就可以使用该新的数值框架应用大于毛细管时间步长的时间步长，包括与表面张力，密度以及粘度相关的时步限制。
The capillary time-step constraint is the dominant limitation on the applicable time-step in many simulations of interfacial flows with surface tension and, consequently, governs the execution time of these simulations. We propose a fully-coupled pressure-based algorithm based on an algebraic Volume-of-Fluid (VOF) method in conjunction with an implicit linearised surface tension treatment that can breach the capillary time-step constraint. The advection of the interface is solved together with the momentum and continuity equations of the interfacial flow in a single system of linearised equations, providing an implicit coupling between pressure, velocity and the VOF colour function used to distinguish the interacting fluids. Surface tension is treated with an implicit formulation of the Continuum Surface Force (CSF) model, whereby both the interface curvature and the gradient of the colour function are treated implicitly with respect to the colour function. The presented results demonstrate that a time-step larger than the capillary time-step can be applied with this new numerical framework, as long as other relevant time-step restrictions are satisfied, including a time-step restriction associated with surface tension, density as well as viscosity.
