Construction of Modified Taylor-Galerkin Finite Elements and its Application in Compressible Flow Computation

Zhu Gang; Shen Mengyu; Liu Qiusheng; Wang Baoguo

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(4): 319-325

Zhu Gang, Shen Mengyu, Liu Qiusheng, Wang Baoguo. Construction of Modified Taylor-Galerkin Finite Elements and its Application in Compressible Flow Computation[J]. Applied Mathematics and Mechanics, 1996, 17(4): 319-325.

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Construction of Modified Taylor-Galerkin Finite Elements and its Application in Compressible Flow Computation

Department of Engineering Mechanics, Qinghua University, Beijing 100084, P. R. China

Received Date: 1994-12-15
Rev Recd Date: 1995-03-24
Publish Date: 1996-04-15

Abstract

Abstract

In this paper we begin with Taylor-Galerkin Finite Elements,then improve it completely and finally construct Modified Taylor-Galerkin Finite Elements.Computation is done by two methods to study two kinds of subsonic and supersonic flow field.The results show that the new one is much better than the old one.
- finite elements,
- subsonic flow,
- supersonic flow

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References(11)

References

[1]	T.J.Oden,Adaptive Afethods.for- Problems in Solid and Fluid Mechanics,John Wiley and Sons Ltd.,London(1986).
[2]	T.J.Chung.Finite Element Analysis in Fluid Dynamics,McGraw-Hill Book Co.(1978).
[3]	J.Donea and S.Giuliani,Time accurate solution of advection-diffusion problems by finite elements.Computer Methods in .Applied Mechanics and Engineering.45(1984).
[4]	T.J.Chung,Finite Elements in Fluid and Hear Transfer,Krieger Publishing Company,Inc.(1991).
[5]	C.Johnson.Numerical Solutions of Partial Differential Equations by the Finite Element Method.Sweden Student-litteratur(1987).
[6]	T.J.R.Hughes and M.Mallet,A new finite element formulation for computational fluid dynamics: IV,A discontinuity-capturing operator for multidimensional advective-diffusive systems.Conrpur.Methods Appl.Mech.Eng.,58(1986),329-336.
[7]	朱刚、谷传纲、胡庆康,对Taylor-Galerkin有限元法的一点改进和它的应用,应用数学和力学,14(12)(1993),1115- 1120,
[8]	徐国群、张国富,不可压N-S方程组的SUPG有限元数值解,空气动力学学报,9(1991).
[9]	T.J.Chung,Numerical Modeling in Combustion.Taylor & Francis Inc.(1993).
[10]	A.Lapidus,A detached shock calculation by second-order finite differences.Journal of Computational Physics.2(1967),154-177.
[11]	Zhu Gang,Shen"Mengyu,Liu Qiusheng and Wang Baoguo,Anisotropic multistage finite element method for two dimensional viscous transonic flow in turbomachinery,Acta.Mechanica Sinica,11(1)(1995).