The Properties and Applications of the Generalized Compact Scheme Satisfying¡¡the Principle about Suppression of the Oscillations
Shen Mengyu, Niu Xiaoling, Zhang Zhibin
(Department of Engineering Mechanics, Tsinghua university, Beijing, 100084)

Abstract: The properties of the three-point fifth-order generalized compact scheme are presented. This scheme satisfies the principle about suppression of the oscillations and the principle of stability. It has spectral-like resolution characteristics and good isotropy properties, and is shock-capturing. The time dependent boundary conditions proposed by Thompson are well employed when the algorithm is applied to the Euler and N-S equations of gas dynamics.
Keywords: generalized compact scheme, principle about suppression of the oscillations, principle of stability, time-dependent.