THE THREE-POINT FIFTH-ORDER ACCURATE GENERALIZED COMPACT SCHEME AND ITS APPLICATIONS

• 来源期刊: 力学学报（英文版）
• 学科: 物理学
• 年，卷（期）: 2001,（2）
• 页码范围: 142-150
• 页数: 9页
• 分类号: O3
• 语种: 英文

摘要

A three-point fifth-order accurate generalized compact scheme (GC scheme) with a spectral-like resolution is constructed in a general way. The scheme satisfies the principle of stability and the principle about suppression of the oscilla tions, therefore numerical errors can decay automatically and no spurious oscillations are generated around shocks. The third-order TVD type Runge-Kutta method is employed for the time integration, thus making the GC scheme best suited for un steady problems. Numerical results show that the GC scheme is shock-capturing.The time-dependent boundary conditions proposed by Thompson are well employed when the algorithm is applied to the Euler equations of gas dynamics.