基于自适应非结构化网格的VOF方法

A VOF Method Based on Unstructured Adaptive Grid

本文提出了一种基于自适应非结构化网格的VOF算法,根据相界面网格的相函数值对相界面网格进行自适应细化与合并,通过基于非结构化网格的界面构造方法构造相界面,在适量增加网格单元数量的情况下提高了计算的精度。该方法随着时间及相界面的变化无需重新整体生成网格,算法效率较高。经典算例的验证结果表明,本文自适应网格方法计算得到的结果明显优于一般网格得到的结果,捕获的相界面更加光滑。

In order to improve the accuracy and capture the sharp interface, a VOF method based on unstructured adaptive grid is proposed in this paper. The VOF function is regarded as the criteria to adaptively refine the interface cell. Then the interface is reconstructed using the VOF method on unstructured grid. The advantage of this method is that the re-generation of the whole grid system is not necessary, so its implementation is very efficient. Moreover, the proposed method was performed to simulate an advection case of a hollow square. The relative shape error of the result obtained by adaptive mesh is smaller than that by non-refined grid.