| 二维涡格法的超收敛性 |
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| 引用本文： | 朱克勤.二维涡格法的超收敛性[J].空气动力学学报,1990,8(4):379-387. |
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| 作者姓名： | 朱克勤 |
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| 作者单位： | 中国科学技术大学 |
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| 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。
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| 关 键 词： | 涡格法 超收敛性 薄翼理论 离散化 |
SUPERCONVERGENCE IN TWO-DIMENSIONAL VORTEX-LATTICE METHODS |
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| Zhu Keqin.SUPERCONVERGENCE IN TWO-DIMENSIONAL VORTEX-LATTICE METHODS[J].Acta Aerodynamica Sinica,1990,8(4):379-387. |
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| Authors: | Zhu Keqin |
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| Institution: | University of science and Technology of China |
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| Abstract: | 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. |
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| Keywords: | vortex-lattice method superconvergence thin wing theory discretization error |
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