加权ENO格式的构造及数值模拟  

CONSTRUCTION AND NUMERICAL SIMULATION OF HIGH ACCURACY WEIGHTED ENO SCHEMES

作　　者：王春武[1] 邱建贤[1] 戴嘉尊[1] 

机构地区：[1]南京航空航天大学理学院,江苏南京210016

出　　处：《计算物理》2001年第4期381-384,共4页Chinese Journal of Computational Physics

基　　金：航空基础科学基金 ( 96A5 2 0 0 4)资助项目

摘　　要：将加权ENO格式推广到非结构三角形网格上 ,构造了一类加权ENO有限体积格式 ,提出的插值多项式的构造方式 ,可以减少计算时间 .对于出现的病态方程组 ,给出了解决方法 .此外还给出了插值点的选取方式及加权因子的构造方法 .结合三阶TVDRunge Kutta时间离散 。According to the ENO scheme on structured grids, a class of weighted ENO finite volume scheme on unstructured mesh is developed. On every control volume, it constructs a new weighted quadratic reconstruction polynomial which can save computational costs. It also uses a method which can resolve the overdetermined systems and do not affect the accuracy of the schemes. Besides, the selection of interpolation points and the construction of weight are presented, Third order TVD Runge Kutta time discretization is used. In order to accelerate the convergence, local time step is introduced. The numerical experiments show the scheme effective.

关 键 词：加权ENO格式 非结构网格 有限体积格式 二维欧拉方程组 插值多项式 

分 类 号：O241.3[理学—计算数学]