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应用科学学报 ›› 1995, Vol. 13 ›› Issue (3): 253-271.

• 论文 •    下一篇

二维粘性不可压缩流动的Fourier-Chebyshev拟谱逼近

郭本瑜, 李健   

  1. 上海大学嘉定校区
  • 收稿日期:1994-01-31 出版日期:1995-09-30 发布日期:1995-09-30

FOURIER-CHEBYSHEV PSEUDOSPECTRAL APPROXIMATION WITH MIXED FILTERING FOR TWO-DIMENSIONAL VISCOUS INCOMPRESSIBLE FLOW

GUO BENYU, LI JIAN   

  1. Shanghai University, Jiading Campus
  • Received:1994-01-31 Online:1995-09-30 Published:1995-09-30

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摘要： 该文构造了计算二维粘性不可压缩流动的Fourier-Chebyshev拟谱格式,严格证明了其广义稳定性和收敛性,并给出了数值结果,该文的理论分析为此类混合逼近的误差估计提供了一个框架。

关键词: Fourier-Chebyshev拟谱逼近, 二维涡度方程, 混合滤波技术

Abstract: A Fourier-Chebyshev pseudospeotral scheme with mixed generalized Boohner fltering technique is proposed for e two-dimensional unsteady vorticity equation.The generalized stability and convergence are proved strictly.The numerical results are presented.The theoretical analysis in this paper provides a framework for error estimations of such mixed approximation.

Key words: mixed filtering technique, Fourier-Chebyshev pseudospectral approximation, Two-dimensional vorticity equation