一类改进的RGFM-HLLC方法的构造及应用  

Construction and Application of an Improved RGFM-HLLC Method

作　　者：冯聿杰 唐树江[1] 李明军[1] 张铁[2] FENG Yu-jie;TANG Shu-jiang;LI Ming-jun;ZHANG Tie(School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105;College of Science,Northeastern University, Shenyang 110819 China)

机构地区：[1]湘潭大学数学与计算科学学院,湖南湘潭411105 [2]东北大学理学院,辽宁沈阳110819

出　　处：《湘潭大学学报（自然科学版）》2020年第2期41-49,共9页Journal of Xiangtan University(Natural Science Edition)

基　　金：国家自然科学基金项目(11971411,11871414);湖南省教育厅重点基金项目(18A067)。

摘　　要：该文针对多相流运动界面的数值模拟问题,在传统水平集方法和改进的真实虚拟流体方法的基础上,将HLLC方法和改进的RGFM进行结合,构造了一类改进的RGFM-HLLC方法,并对两相流运动界面的形变过程进行数值模拟.两相流运动界面的数值模拟结果表明:改进的RGFM-HLLC方法具有比已有方法更高的分辨率,且能有效地降低界面附近的数值振荡.This paper is aimed at the numerical simulation of multiphase flow motion interface.Based on the traditional level set method and improved RGFM,the paper combines the HLLC method and improved RGFM to construct a class of improved RGFM-HLLC method.The deformation process of the flow motion interface is numerically simulated.Numerical results show that the improved RGFM-HLLC method has higher resolution than the existing methods,and can effectively reduce the numerical oscillation near the interface.

关 键 词：水平集方法 RGFM HLLC方法 

分 类 号：O359[理学—流体力学]