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守恒双曲型方程式激波计算区域分解法中的追踪及人工压缩方法 被引量:3

Tracing and Artificial Compression Method of the Shock′s Calculation for the Conservative Hyperbolic Equation in Domain Decomposition
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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.
作者 陈传淡
机构地区 厦门大学数学系
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
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  • 1陈传淡,厦门大学学报,1995年,34卷,2期,145页
  • 2陈传淡,双曲型套网格差分逼近及其稳定性,1993年
  • 3陈传淡,数学研究纪事,1992年,25卷,2期,78页

同被引文献17

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  • 2汪迎春,汪德,崔海滨.小振幅驻波的数值计算[J].水利水电科技进展,2007,27(1):14-16. 被引量:1
  • 3汪迎春,汪德爟.人工压缩解法压缩因子在两相流中的优化[J].武汉理工大学学报(交通科学与工程版),2007,31(2):370-372. 被引量:1
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  • 7ZHAO Yong,TAN Hsiang-hui,ZHANG Bai-li.A high-resolution characteristics-based implicit dual time-stepping VOF method for free surface flow simulation on unstructured grids[J].Journal of Computational Physics,2002,183(1):233-273.
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