An accurate adaptive solver for surface-tension-driven interfacial flows
An accurate adaptive solver for surface-tension-driven interfacial flows
复制标题
DOI：
10.1016/j.jcp.2009.04.042
复制
发表时间：
2009-09-01
影响因子：
4.1
通讯作者：
Popinet, Stephane
中科院分区：
文献类型：
--
作者：
Popinet, Stephane
提出了一种结合自适应四叉树/八叉树空间离散、几何流体体积界面表示、平衡力连续表面力表面张力公式和高度函数曲率估计的方法。这些方法的扩展四/八叉树离散化允许自适应可变分辨率沿着接口，并详细描述。所示的方法恢复精确的平衡（机器精度）之间的表面张力和压力梯度的情况下，一个固定的液滴，不管粘度和空间分辨率。精确的解决方案，获得了经典的测试情况下的毛细波振荡。应用于空气中水射流的毛细管破裂进一步说明了该方法的准确性和效率。实现的源代码作为Gerris流求解器的一部分免费提供。(C)2009 Elsevier Inc. All rights reserved.
A method combining an adaptive quad/octree spatial discretisation, geometrical Volume-Of-Fluid interface representation, balanced-force continuum-surface-force surface-tension formulation and height-function curvature estimation is presented. The extension of these methods to the quad/octree discretisation allows adaptive variable resolution along the interface and is described in detail. The method is shown to recover exact equilibrium (to machine accuracy) between surface-tension and pressure gradient in the case of a stationary droplet, irrespective of viscosity and spatial resolution. Accurate solutions are obtained for the classical test case of capillary wave oscillations. An application to the capillary breakup of a jet of water in air further illustrates the accuracy and efficiency of the method. The source code of the implementation is freely available as part of the Gerris flow solver. (C) 2009 Elsevier Inc. All rights reserved.