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arXiv 1409.1276physics.flu-dynphysics.comp-ph
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模拟与固体边界接触的流体/流体界面的流体体积法

A volume of fluid method for simulating fluid/fluid interfaces in contact with solid boundaries

Kyle Mahady, Shahriar Afkhami, Lou Kondic

发表信息：
Journal of Computational Physics 294 (2015) 243-257
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摘要：

本文提出了一种新的方法来模拟纳维-斯托克斯方程的直接求解器的流体/固体相互作用力的体积的流体界面跟踪方法的基础上。该模型的关键组成部分是明确列入流体/固体相互作用力的控制方程。我们表明，相互作用力导致部分润湿条件，特别是平衡接触角的自然定义。我们提出了两种数值方法来离散的相互作用力，进入模型，这两种方法在复杂性和收敛性不同。为了验证计算框架，我们考虑应用这些模型来模拟二维液滴平衡，以及液滴扩散。我们证明，该模型，包括基本的物理，捕捉接触线动态任意接触角。更一般地说，这种方法允许新的手段来研究接触线，以及各种各样的现象，以前不能解决直接模拟。

英文摘要：

In this paper, we present a novel approach to model the fluid/solid interaction forces in a direct solver of the Navier-Stokes equations based on the volume of fluid interface tracking method. The key ingredient of the model is the explicit inclusion of the fluid/solid interaction forces into the governing equations. We show that the interaction forces lead to a partial wetting condition and in particular to a natural definition of the equilibrium contact angle. We present two numerical methods to discretize the interaction forces that enter the model; these two approaches differ in complexity and convergence. To validate the computational framework, we consider the application of these models to simulate two-dimensional drops at equilibrium, as well as drop spreading. We demonstrate that the model, by including the underlying physics, captures contact line dynamics for arbitrary contact angles. More generally, the approach permits novel means to study contact lines, as well as a diverse range of phenomena that previously could not be addressed in direct simulations.

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