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Construction of Modified Taylor-Galerkin Finite Elements and its application in compressible flow computation

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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.

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References

  1. T. J.Oden, Adaptive Methods for Problems in Solid and Fluid Mechanics, John Wiley and Sons Ltd., London (1986).

    Google Scholar 

  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 Heat 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, Comput. Methods Appl. Mech. Eng., 58 (1986), 329–336.

    Google Scholar 

  7. ZhuGang, GuChuangang and HuQingkang, A modification of Taylor-Galerkin finite element method and its application, Applied Mathematics and Mechanics (English Ed.), 14, 12 (1993), 1173–1179.

    Google Scholar 

  8. G. Q. Xu and G. F. Zhang, Computational SUPG finite element results for incompressible Navier-Stokes equations, Journal of Aerodynamics, 9 (1991). (in Chinese)

  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.

    Google Scholar 

  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).

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Authors and Affiliations

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

    Zhu Gang, Shen Mengyu, Liu Qiusheng & Wang Baoguo

Authors
  1. Zhu Gang
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  2. Shen Mengyu
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  3. Liu Qiusheng
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  4. Wang Baoguo
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Communicated by Chien Weizang and Zhou Zhewei

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Gang, Z., Mengyu, S., Qiusheng, L. et al. Construction of Modified Taylor-Galerkin Finite Elements and its application in compressible flow computation. Appl Math Mech 17, 333–339 (1996). https://doi.org/10.1007/BF00193796

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  • DOI: https://doi.org/10.1007/BF00193796

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