SPECTRAL-FINITE ELEMENT METHOD FOR COMPRESSIBLE FLUID FLOW

Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (8): 701-717.

SPECTRAL-FINITE ELEMENT METHOD FOR COMPRESSIBLE FLUID FLOW

郭本瑜, 曹卫明

Shanghai University of Science and Technology, Shanghai

收稿日期:1991-04-15 出版日期:1992-08-18 发布日期:1992-08-18
通讯作者: Liu Ren-huai

SPECTRAL-FINITE ELEMENT METHOD FOR COMPRESSIBLE FLUID FLOW

Guo Ben-yu, Cao Wei-ming

Shanghai University of Science and Technology, Shanghai

Received:1991-04-15 Online:1992-08-18 Published:1992-08-18

摘要/Abstract

摘要： In this paper, a combined Fourier spectral-finite element method is proposed for solving n-dimensional (n=2,3), semi-periodic compressible fluid flow problems. The strict error estimation as well as the convergence rate, is presented.

关键词: compressible fluid flow, spectral method, finite element method, error estimation

Abstract: In this paper, a combined Fourier spectral-finite element method is proposed for solving n-dimensional (n=2,3), semi-periodic compressible fluid flow problems. The strict error estimation as well as the convergence rate, is presented.

Key words: compressible fluid flow, spectral method, finite element method, error estimation

郭本瑜;曹卫明. SPECTRAL-FINITE ELEMENT METHOD FOR COMPRESSIBLE FLUID FLOW[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(8): 701-717.

Guo Ben-yu;Cao Wei-ming. SPECTRAL-FINITE ELEMENT METHOD FOR COMPRESSIBLE FLUID FLOW[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(8): 701-717.

参考文献

[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] Guo Ben-yu, Difference Methods for partial differential Equations, Science Press, Beijing (1988). (in Chinese).
[4] Kuo Pen-yu, R閟olution num閞ique de fluid? 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.

SPECTRAL-FINITE ELEMENT METHOD FOR COMPRESSIBLE FLUID FLOW

SPECTRAL-FINITE ELEMENT METHOD FOR COMPRESSIBLE FLUID FLOW

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