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Seventh International Conference on Numerical Methods in Fluid Dynamics pp 138–143Cite as

Transonic flow calculations with higher order finite elements

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Part of the book series: Lecture Notes in Physics ((LNP,volume 141))

Abstract

Galerkin Finite Element (FE) techniques for the solution of the transonic potential equation,in its quasi elliptic artificial density form are investigated with emphasis on the element choice and its consequences on the iterative solution with successive line relaxation (SLOR) and approximate factorization (ADI) methods.

The calculations presented show an improved accuracy for the biquadratic Lagrange element when compared to its bilinear FE or second order FD equivalent, without substantial increase in computational cost.

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References

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Author information

Authors and Affiliations

  1. Dept. of Fluid Mechanics, Vrije Universiteit Brussel, Brussels, Belgium

    Herman Deconinck (Research assistent IWONL) & Charles Hirsch (Professor)

Authors
  1. Herman Deconinck
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  2. Charles Hirsch
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Editor information

W. C. Reynolds R. W. MacCormack

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© 1981 Springer-Verlag

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Deconinck, H., Hirsch, C. (1981). Transonic flow calculations with higher order finite elements. In: Reynolds, W.C., MacCormack, R.W. (eds) Seventh International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 141. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-10694-4_19

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  • DOI: https://doi.org/10.1007/3-540-10694-4_19

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10694-4

  • Online ISBN: 978-3-540-38624-7

  • eBook Packages: Springer Book Archive

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