PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method
PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method
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DOI：
10.1006/jcph.2002.7190
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发表时间：
2002-12
影响因子：
4.1
通讯作者：
Y. Renardy;M. Renardy
中科院分区：
文献类型：
--
作者：
Y. Renardy;M. Renardy
流体体积法(VOF)是一种直接数值模拟含时粘性不可压缩多流体流动的方法。然而，与任何数值方法一样，它也有其弱点，即对于毛细管力是主要物理机制的流动。文献中记录了空间精化的收敛，或收敛到与精确解略有不同的解的情况。一种众所周知的极限情况是存在杂散电流，用于模拟初始速度为零的球形液滴。这些电流存在于所有先前版本的VOF算法中。在本文中，我们发展了一个由表面张力引起的体力的精确表示，它有效地消除了杂散电流。我们称这种算法为PROST：表面张力的抛物线重建。这一过程有几个组成部分，包括新的体力算法，对Navier-Stokes求解器投影法的改进，以及更高阶的界面平流格式。通过对单元组上的界面进行二次逼近的最优拟合来计算界面的曲率。
Volume-of-fluid (VOF) methods are popular for the direct numerical simulation of time-dependent viscous incompressible flow of multiple liquids. As in any numerical method, however, it has its weaknesses, namely, for flows in which the capillary force is the dominant physical mechanism. The lack of convergence with spatial refinement, or convergence to a solution that is slightly different from the exact solution, has been documented in the literature. A well-known limiting case for this is the existence of spurious currents for the simulation of a spherical drop with zero initial velocity. These currents are present in all previous versions of VOF algorithms. In this paper, we develop an accurate representation of the body force due to surface tension, which effectively eliminates spurious currents. We call this algorithm PROST: parabolic reconstruction of surface tension. There are several components to this procedure, including the new body force algorithm, improvements in the projection method for the Navier-Stokes solver, and a higher order interface advection scheme. The curvature to the interface is calculated from an optimal fit for a quadratic approximation to the interface over groups of cells.