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一类新的二阶精度非交错形式差分格式的构造
引用本文:郑华盛.一类新的二阶精度非交错形式差分格式的构造[J].南昌航空工业学院学报,1996(1).
作者姓名:郑华盛
摘    要:本文对二维标量非线性双曲型守恒律,以非交错形式Lax-Friedrichs格式为基本模块,构造了一类新的不须解Riemann问题的差分格式,并证明其具有时空二阶精度。数值实验表明,格式具有较高的分辨激波、稀疏波及接触不连续的能力

关 键 词:双曲型方程  守恒定律  二阶精度  差分格式

A New Kind of Second Order Nonstaggered Difference Schemes
Zheng,Huasheng.A New Kind of Second Order Nonstaggered Difference Schemes[J].Journal of Nanchang Institute of Aeronautical Technology(Natural Science Edition),1996(1).
Authors:Zheng  Huasheng
Institution:Dept. of first Basic Course
Abstract:In this paper, a new Riemann-solver-free kind of difference schemes are constructed by using nonstaggered Lax-Friedrichs scheme as a building block to 2-D Scalar nonlinear hyperbolic conservation laws.It is proved that these schemes had second order accurate in space and time.Finally,numerical experiments show that these schemes had high resolution ability for shocks,rarefaction and contact discontinuities.
Keywords:Hyperbolic equations  Conservation laws  Second order accuracy  Difference schemes  
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