Transonic flow calculations with higher order finite elements

  • Herman Deconinck
  • Charles Hirsch
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 141)


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.


Transonic Flow Quadratic Element Coordinate Line Iterative Solution Method Bilinear Element 
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Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Herman Deconinck
    • 1
  • Charles Hirsch
    • 1
  1. 1.Dept. of Fluid MechanicsVrije Universiteit BrusselBrusselsBelgium

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