矩形网格上VOF运动界面重构的流体体积分数保持法
Keeping Volume Fraction of Fluid in Reconstructing Moving-interfaces of VOF on Rectangular Meshes
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摘要: 针对处理运动界面问题的流体体积函数(VOF)法,提出一种新的流体体积分数保持界面重构算法.该方法在单个网格内用斜线段近似运动界面,并要求相邻网格内的斜线段在公共边上的交点重合,通过保持网格内的流体体积分数不变,在边界网格上建立非线性方程组,通过求解非线性方程组,确定运动界面边界线与网格线的交点位置,最终重构出运动界面的形状.应用算例模拟结果表明,该方法能够高精度,较少尖点地重构运动界面,证实了该方法的有效性和可行性.Abstract: A moving interface reconstructing algorithm keeping volumed fraction of fluid in the volume of fluids (VOF) method is presented. The moving interface is approximated by a diagonal line of a grid, and two diagonal lines located in adjacent grids intersect on a public side. By keeping constant volume fraction of fluid in each grid, nonlinear equations are built on boundary grids, location of intersecting points of moving-interfaces with grid sides are decided by solving equations. The shape of moving-interfaces is reconstructed. The method simulates accurately moving interfaces with fewer cusps. Its availability and efficiency are demonstrated.