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

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，计算结果与理论分析符合

Tracing and Artificial Compression Method of the Shock's Calculation for the Conservative Hyperbolic Equation in Domain Decomposition

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.