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An orthogonal finite element method for transonic flow calculations

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Sixth International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 90))

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Abstract

A new method for the numerical integration of the time dependent Euler equations by Finite Elements is presented based on the introduction of orthogonal shape functions. This leads to a diagonal mass matrix. In certain cases, as linear triangular elements and bilinear quadrilateral elements with parallel sides, the obtained scheme is equivalent to a Finite Volume formulation. For a general mesh, the method automatically generates schemes for arbitrary geometries. Examples of applications are presented.

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References

  1. M.M. HAFEZ, C.C. WELLFORD, C.L. MERKE α E.M. MURMAN, “Numerical Computation of Transonic Flows by Finite Element and Finite-Difference Methods”, Flow Research Report 70, Jan. 1977, (U.S.A.)

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  3. Ch. HIRSCH, “Transonic Flow Calculation in Blade Rows with an Optimal Control-Finite Element Formulation”, Bat-Sheva Seminar on Finite Elements for Non-Elliptic Problems, Tel-Aviv, July 1977

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Author information

Authors and Affiliations

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

    Ch. Hirsch

  2. Dept. Stress Analysis, Université Libre de Bruxelles, Brussels, Belgium

    G. Warzee

Authors
  1. Ch. Hirsch
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  2. G. Warzee
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Editor information

H. Cabannes M. Holt V. Rusanov

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© 1979 Springer-Verlag

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Hirsch, C., Warzee, G. (1979). An orthogonal finite element method for transonic flow calculations. In: Cabannes, H., Holt, M., Rusanov, V. (eds) Sixth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 90. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540091157_178

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  • DOI: https://doi.org/10.1007/3540091157_178

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09115-8

  • Online ISBN: 978-3-540-35521-2

  • eBook Packages: Springer Book Archive

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