三角形网格上VOF运动界面重构的流体体积分数保持法

A keeping volume fraction method for moving-interfaces reconstruction of VOF using triangle meshes

针对处理无结构三角形网格上运动界面问题的流体体积函数(VOF)法提出一种新的界面重构算法——流体体积分数保持法。该方法在单个三角形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,根据界面网格类型在边界网格上建立非线性方程组,最后通过求解该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。算例模拟的结果表明,该方法能够比较精确的构造出流体界面,证实了新方法的有效性和可行性。

A new method （keeping fluid volume fraction method） using triangle meshes for moving-interfaces reconstruction in VOF method is presented. The proposed algorithm can approximate the moving-interface by a slash in a single grid,which demands that points of intersection with the public sides between the adjacent grids should be coincide. By keeping volume fraction of fluid invariable in each grid,the nonlinear equations have been built on boundary cells. Then the locations of intersecting points on boundary sides of moving-interfaces and grid sides can be obtained through solving the equations. Finally,the shape of moving-interfaces can be reconstructed. The calculation results of the applied cases show that the new method is effective and feasible.