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A Generalized Grid-Free Finite Difference-Method

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Proceedings of the Third GAMM — Conference on Numerical Methods in Fluid Mechanics

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

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Summary

A generalized explicit finite difference method for arbitrarily distributed nodes is presented. It is developed for the calculation of two-dimensional unsteady inviscid flows. The advantage of the method is its independence from a regular grid, so that geometrically difficult domains with complicated boundaries can be discretized easily. Numerical results from a test problem (Ringleb Flow) are shown.

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References

  1. WARMING R.F., HYETT B.J.: The modified equation approach to the stability and accuracy analysis of finite-difference methods, J.Comput.Phys.14(1974), 159–179.

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  2. RINGLEB F.: Exakte Lösungen der Differentialgleichungen einer adiabatischen Gasströmung, ZAMM 20, 4(1940),185–198.

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  3. FöRSTER K. (Ed.): Boundary algorithms for multidimensional inviscid hyperbolic flows, Notes Num.Fluid Mech., Vol.1, Vieweg, V7iesbaden 1978.

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  4. THEILEMANN L.: A study of reference-plane methods for unsteady plane flows, see [3], pp. 17–21.

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  5. PANDOLFI M., ZANNETTI L.: Some tests on finite difference algorithms for computing boundaries in hyperbolic flows, see [3], pp. 68–88, especially fig. 6.

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Author information

Authors and Affiliations

  1. Institut für Aerodynamik und Gasdynamik, Universität Stuttgart, Sonderforschungsbereich 85, Germany

    L. Theilemann

Authors
  1. L. Theilemann
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Editor information

Editors and Affiliations

  1. DFVLR-Institut für Theoretische Störungsmechanik, Linder Höhe, 5000, Köln 90, Fed. Rep. of Germany

    E. H. Hirschel (Chairman) (Chairman)

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© 1980 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Theilemann, L. (1980). A Generalized Grid-Free Finite Difference-Method. 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_28

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  • DOI: https://doi.org/10.1007/978-3-322-86146-7_28

  • 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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