摘要
讨论在激波计算中的区域分解法,即在不同区域中应用不同网格及格式的耦合稳定性问题.先定出激波位置,再在激波附近小范围内,用低阶格式及人工压缩方法以消除弥散效应.在激波区域外,应用高精度格式,减少了过超振荡现象,提高了分辨率.在各区域交界应用全能稳定联接格式,解决了格式的耦合稳定问题.最后举出数值计算实例。
The calculation of the position of the shocks for the domain decomposition of the hyperbolic approximation is discussed.It is the matching stable problem for the different schemes in the different domains with different mesh size.After tracing the position of the shocks,the artificial compression method are applied to eliminate the smearing effect and to raise the resolution of the schemes.In the boundaries of each regions,the universal connected matching stable schemes are inserted in so as to make the schemes between different regions matching stable each other.At last,some numerical examples are presented.
出处
《厦门大学学报(自然科学版)》
CAS
CSCD
北大核心
1999年第3期329-333,共5页
Journal of Xiamen University:Natural Science
基金
国家自然科学基金
福建省自然科学基金
关键词
双曲型方程
激波计算
区域分解法
人工压缩法
Conservative hyperbolic differential equation,The calculation of the shocks,Domain decomposition,Smearing effect,Over shooting,Artificial compression method