非定常隐式TVD格式的基本理论和验证  

BASIC THEORY OF AN UNSTEADY IMPLICIT TVD SCHEME AND VERIFICATION BY COMPUTATIONS

作　　者：陈宏冀[1] 

机构地区：[1]中国科学院工程热物理研究所,北京100080

出　　处：《工程热物理学报》2004年第1期49-52,共4页Journal of Engineering Thermophysics

基　　金：国家重点基础研究项目资助(No.G1999022309)

摘　　要：用于非定常问题的时间二阶精度的隐式TVD格式的理论多年来一直是个空白。本文按新的途径构造了一种时间二阶精度的隐式TVD格式,以发展了的手段证明了其为无条件(任意时间步长)TVD的,且限量因子Φ不受传统上界的限制,具体构造了这样的新的Φ。所得理论结果均为计算所验证,格式显示了良好的稳定性和分辨率。The theory on the implicit TVD schemes of second order time accuracy that is preferred in solving unsteady problems has been an open question for a long time. In the present paper, a new approach to that is presented and an implicit TVD scheme of second order time accuracy is constructed. The scheme is proved to be unconditionally (i.e. independent of the time step) TVD and the limiter φ is not restricted by the traditional bound. A specific function form of the limiter is designed. Computation experiments verify all the theoretical results and show good resolution and stability of the scheme.

关 键 词：非定常流动 计算方法 差分格式 隐式TVD格式 

分 类 号：V211.15[航空宇航科学与技术—航空宇航推进理论与工程]