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基于四阶半离散中心迎风格式的虚拟流方法的应用
引用本文:蔡力,封建湖,谢文贤,周军.基于四阶半离散中心迎风格式的虚拟流方法的应用[J].爆炸与冲击,2005,25(2):137-144.
作者姓名:蔡力  封建湖  谢文贤  周军
作者单位:1.西北工业大学航天学院,陕西 西安 710072;
摘    要:给出了求解多维无粘可压Euler方程组的四阶半离散中心迎风格式,该格式根据非线性波在网格单元边界上传播的局部速度来更准确地估计局部Riemann的宽度,避免了计算网格的交错,降低了格式的数值粘性。同时,考虑到Level Set函数能隐式地追踪到界面的位置,而虚拟流的构造能隐式地捕捉到界面的边界条件,因此再将新的四阶半离散中心迎风格式与Level Set方法以及虚拟流方法相结合,成功地处理了非反应激波和多介质流中爆轰间断的追踪问题。

关 键 词:流体力学    半离散中心迎风格式    无粘可压Euler方程组    虚拟流方法    Level  Set方法
文章编号:1001-1455(2005)02-0137-08
修稿时间:2004年4月28日

Applications of the ghost fluid method based on the fourth-order semi-discrete central-upwind scheme
CAI Li,FENG Jian-hu,XIE Wen-xian,ZHOU Jun.Applications of the ghost fluid method based on the fourth-order semi-discrete central-upwind scheme[J].Explosion and Shock Waves,2005,25(2):137-144.
Authors:CAI Li  FENG Jian-hu  XIE Wen-xian  ZHOU Jun
Institution:1.College of Astronautics, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China;2.College of Science, Chang'an University, Xi’an 710064, Shaanxi, China;3.School of Science, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China
Abstract:A fourth-order semi-discrete central-upwind scheme for multidimensional inviscid compressible Euler equations is presented in this paper. Based on the local speeds of nonlinear wave propagation at grids’ boundaries, the width of the local Riemann fans are calculated more accurately. Thus the scheme enjoys a much smaller numerical viscosity, and the staggering between two sets of grids is avoided. Since the location of the interface can be tracked by Level Set function implicitly and the boundary conditions are implicitly captured by the construction of a ghost fluid, the scheme is combined with the Level Set method and the ghost fluid method. In this way, the non-reacting shock problems and detonation discontinuities in multimaterial flows are tracked successfully.
Keywords:fluid mechanics  semi-discrete central-upwind schemes  inviscid compressible Euler equations  ghost fluid method  Level Set method
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