一种求解双曲守恒律方程的新方法  

A New Method for Hyperbolic Equations of Conservation Laws

作　　者：郑素佩[1] 封建湖[2] 王振海[1] 佘红伟[1] 刘彩侠[1] 

机构地区：[1]西北工业大学理学院,陕西西安710072 [2]长安大学理学院,陕西西安710064

出　　处：《航空计算技术》2004年第3期20-22,26,共4页Aeronautical Computing Technique

摘　　要：近年来,在计算流体力学中,WENO(WeightedEssentiallyNon-oscillatory)格式得到了很大的发展,这也促进了基于WENO格式基础上的CWENO(CentralWENO)格式的发展。WENO格式的主要思想是通过凸组合的方式进行插值重构,以得到高阶逼近,并且在间断附近防止伪震荡的产生。本文构造了一种新的五阶紧凑CWENO格式,该格式所选模板节点少,并且保留了原有中心格式的优点。最后通过一些数值算例来验证该格式的高精度,本性无震荡性质。In recent years, weighted essentially non-oscillatory (WENO) schemes for hyperbolic conservation laws were developed in computational fluid dynamics. Based on the WENO schemes the central WENO scheme was proposed. The basic idea of WENO schemes is to obtain a higher order approximation by a convex combination of low order interpolants and to prevent the creation of spurious oscillations in regions with discontinuities or large gradients. In this paper, a new fifth-order compact CWENO scheme was presented. The scheme has a less point stencil and keeps the advantages of the central WENO schemes. Some numerical tests demonstrate the accuracy and high-resolution properties of this scheme.

关 键 词：有限差分法 WENO格式 CWENO格式 紧凑CWENO格式 

分 类 号：O242[理学—计算数学] O354[理学—数学]