摘要
提出了构造高精度、高分辨率格式的一条新途径。用此途径构造的格式能满足保证格式具有某些所希望性能的一些原则和要求（例如熵增原则，稳定性原则，精度阶数，格式点数等）。作为例子，文中提出了一个三点三阶精度的紧致格式，它满足熵增原则和稳定性原则。３个例子的数值结果表明该格式能无振荡地捕捉激波并在光滑区具有高的精度。
A general way was presented for constructing the high order accuracy and high resolution schemes. The schemes constructed by using this way could satisfy some principles and demand prescribed in advance to ensure some desired properties to the schemes, such as the principle of entropy increment, the principle of stability, the order of accuracy and the number of scheme points, etc. As an example, a third order accuracy three point compact scheme satisfying the principle of entropy increment and the principle of stability was proposed. Numerical results indicate good shock transitions without any noticeable oscillation and high accuracy in smooth regions.
出处
《清华大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
1999年第4期1-5,共5页
Journal of Tsinghua University(Science and Technology)
基金
国家自然科学基金
关键词
精度
高分辨率格式
熵增原则
湍流
数值模拟
high order accuracy schemes
principle of entropy increment
Hermite method
