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Part of the book series: Notes on Numerical Fluid Mechanics ((NNFM,volume 2))

Summary

A simple Finite Element scheme is proposed for the solution of the full potential equation of gasdynamics which is based on a variational principle stating that the static pressure forms a minimum relief with respect to prescribed boundary conditions. The introduction of an artificial density allows for the computation of transonic flow past aircraft components of engineering interest. Selected results will show benefits and present limitations of the method.

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References

  1. Eberle A. Transonic Potential Flow Computations by Finite Elements: Airfoil and Wing Analysis, Airfoil Optimization MBB-UFE 1428(ö)/DGLR 78–65 1978

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  2. South J.C./Keller J.D./Hafez M.M. Vector Processor Algorithms for Transonic Flow Calculations AIAA 79–1457 1979

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  3. Holst T.L. A Fast, Conservative Algorithm for Solving the Transonic Full-Potential Equation AIAA 79–1456 1979

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© 1980 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Eberle, A. (1980). Evaluation of a Minimum Principle for Transonic Flow Computations by Finite Elements. In: Hirschel, E.H. (eds) Proceedings of the Third GAMM — Conference on Numerical Methods in Fluid Mechanics. Notes on Numerical Fluid Mechanics, vol 2. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-86146-7_8

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  • DOI: https://doi.org/10.1007/978-3-322-86146-7_8

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-08076-1

  • Online ISBN: 978-3-322-86146-7

  • eBook Packages: Springer Book Archive

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