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可压缩流动的Fourier谱-有限元解法

郭本瑜 曹卫明

郭本瑜, 曹卫明. 可压缩流动的Fourier谱-有限元解法[J]. 应用数学和力学, 1992, 13(8): 677-692.
引用本文: 郭本瑜, 曹卫明. 可压缩流动的Fourier谱-有限元解法[J]. 应用数学和力学, 1992, 13(8): 677-692.
Guo Ben-yu, Cao Wei-ming. Spectral-Finite Element Method for Compressible Fluid Flow[J]. Applied Mathematics and Mechanics, 1992, 13(8): 677-692.
Citation: Guo Ben-yu, Cao Wei-ming. Spectral-Finite Element Method for Compressible Fluid Flow[J]. Applied Mathematics and Mechanics, 1992, 13(8): 677-692.

可压缩流动的Fourier谱-有限元解法

Spectral-Finite Element Method for Compressible Fluid Flow

  • 摘要: 本文考虑n维(n=2,3)可压缩流动的带有单向周期边值条件问题的数值解.我们在周期方向采用Fourier谱方法,在非周期方向采用有限元方法,从而构造了一类谱-有限元格式.文中严格分析了计算误差,得到了收敛阶的估计.
  • [1] Roache, P. J., Computational Fluid Dynamics, 2nd Ed, Hermosa Publishers, Albuqueque (1976).
    [2] Atusi, Tani, The existence and uniqueness of the solution of equations describing compressible viscous fluid flow in a domain, Proc. Japan Acad., 52(1976), 334-337.
    [3] 郭本瑜,《偏微分方程的差分方法》,科学出版社(1988).
    [4] Kuo Pen-yu, Résolution numérique de fluidè compressible, C. R. Acad. Sc. Paris, 291A(1980), 167-171.
    [5] Guo Ben-yu, Strict error estimation of numerical solution of compressible flow in two-dimensional space, Scientia Sinica, 26A(1983), 482-498.
    [6] Chung, T. J., Finite Element Analysis in Fluid Dynamics, McGraw-Hill International Book Company (1978).
    [7] Guo Ben-yu and Ma He-ping, Strict error estimation for a spectral method of compressible fluid flow, CalColo, 24 (1987), 263-282.
    [8] Canuto, C., Y. Maday and A. Quarteroni, Analysis of the combined finite element and Fourier interpolation, Numer. Math., 39(1982), 205-220.
    [9] Canuto, C., Y. Maday and A. Quarteroni, Combined finite element and spectral approximation of the Navier-Stokes equations, Numer. Math., 44(1984), 201-217.
    [10] Guo Ben-yu, Spectral-difference method for solving two-dimensional vorticity equations, J.Comput. Math., 6(1988), 238-257.
    [11] Guo Ben-yu and Cao Wei-ming, Spectral-finite element method for solving two-dimensional vorticity equations, Acta Mathematicae Applicatae Sinica, 7(1991), 257-271.
    [12] Guo Ben-yu and Cao Wei-ming, Spectral-finite element method for solving three-dimensional vorticity equations, J. Greek Math. Soc., 32(1990), 258-280.
    [13] Guo Ben-yu and Cao Wei-ming, Spectral-finite element method for solving two-dimensional Navier-Stokes equation(1988). (unpublished).
    [14] Adams, R. A., Sobolev Spaces, Academic Press, New York(1975).
    [15] Grisvard, P., Equations differentielles abstraites, Ann. Sci. Ecole Norm. Sup., 4(1969),311-395.
    [16] Ciarlet, P. G., The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam (1978).
    [17] Schatz, A., V. Thomee and L. B. Wahlbin, Maximum norm stability and error estimates in parabolic finite element equations, Commun. Pure Appl. Math., 33(1980), 265-304.
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出版历程
  • 收稿日期:  1991-04-15
  • 刊出日期:  1992-08-15

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