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.
出处
《工程热物理学报》
EI
CAS
CSCD
北大核心
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)
关键词
非定常流动
计算方法
差分格式
隐式TVD格式
unsteady flow
computational method
difference scheme
implicit TVD scheme
