摘要
本文提出并研究了二维涡格法的超收敛性。在离散化误差分析中,与薄翼理论的二维平板精确解进行比较,根据Chebychev多项式理论,导出了涡格法中具有超收敛性的离散化格式。并证明了这种离散化格式对二维抛物弧板和三次曲线弧板等问题也具有超收敛性。
In this paper, superconvergence in two-dimensional vortex-lattice methods is presented and studied. Firstly, the numerical solution compares with the exact solution of the two-dimensional flat plate in the thin wing theory, and the discretization errors of the numerical method is analysed, Then a discretization scheme with superconvergence in vortex-lattice methods is derived from Chebychev polynomial theory. Finally, superconvergence of the scheme for the flow around a parabolic camber or cubical parabolic camber is verified theoretically.
出处
《空气动力学学报》
CSCD
北大核心
1990年第4期379-387,共9页
Acta Aerodynamica Sinica
关键词
涡格法
超收敛性
薄翼理论
离散化
vortex-lattice method, superconvergence, thin wing theory, discretization error.
