Euler方程间断解的自动捕捉技术  

AUTOMATICALLY CAPTURING TECHNIQUE OF DISCONTINUOUS SOLUTION OF EULER EQUATIONS

作　　者：李松波 王运涛 

机构地区：[1]中国空气动力学研究与发展中心

出　　处：《数值计算与计算机应用》1995年第1期27-34,共8页Journal on Numerical Methods and Computer Applications

摘　　要：Ｅｕｌｅｒ方程间断解的自动捕捉技术李松波，王运涛（中国空气动力学研究与发展中心）ＡＵＴＯＭＡＴＩＣＡＬＬＹＣＡＰＴＵＲＩＮＧＴＥＣＨＮＩＱＵＥＯＦＤＩＳＣＯＮＴＩＮＵＯＵＳＳＯＬＵＴＩＯＮＯＦＥＵＬＥＲＥＱＵＡＴＩＯＮＳ￥ＬｉＳｏｎｇ－ｂｏ；Ｗａｎｇ...Abstract A theoretical and numerical study is made on the essential cause of abnormal phenomena, such as oscillations across shock wave, nonlinear instability and convergence to nouphysical solution, encountered in computational aerodynamics. A class of the least dissipation-correction difference schemes (LDC) of high accuracy are presented to overcome these difficulties. With four new standard one-dimensional Riemann Problems instead of sod's example, comparative numerical simulations are made by using the TVD schemes and the LDC schemes, which illustrate that among these schemes the LDC schemes are in the best agreements with the exact solutions.

关 键 词：欧拉方程 自动捕捉 激波振荡 

分 类 号：O353.1[理学—流体力学] V211.3[理学—力学]