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A Runge-Kutta TVD Finite Volume Method for Steady Euler Equations on Adaptive Unstructured Grids

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Proceedings of the Ninth GAMM-Conference on Numerical Methods in Fluid Mechanics

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 35))

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Summary

A TVD-time dependent discretization of the Euler equations is formulated for unstructured grids. The grid is generated by Delaunay triangulation. The spatial discretization is based on the vertex-centred finite volume method with an upwind definition of the fluxes based on polynomial flux-difference splitting. The time dependent system is integrated with the standard Runge-Kutta type multistage time stepping method. Four stages are used with standard time step lengths. Adaptive refinement of the grid is done based on a pressure difference criterion. The method is illustrated on a supersonic wedge flow.

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References

  1. Dick E., J. Comp. Phys. 76 (1988), 19–32.

    Article  ADS  MATH  Google Scholar 

  2. Roe P.L., J. Comp. Phys. 43 (1981), 357–372.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. Chakravarthy S.R. and Osher S., AIAA paper 85–0363, 1985.

    Google Scholar 

  4. Bowyer A., Computer Journal, 24, (1981), 162–166.

    Article  MathSciNet  Google Scholar 

  5. Mitty T.J., Baker T.J., Jameson A., Proc. 3rd. Intern. Conf. on Numerical Grid Generation in CFD and related Fields, Barcelona, 1991.

    Google Scholar 

  6. Mavriplis D.J., idem as 5.

    Google Scholar 

  7. Weatherill N.P., idem as 5.

    Google Scholar 

  8. Dick E., J. Comp. Phys. 91 (1990), 161–173.

    Article  ADS  MATH  Google Scholar 

  9. Dick E., Multigrid Methods III, Birkhäuser Verlag Basel, 1991, 1–20.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of machinery, University of Ghent, Sint Pietersnieuwstraat 41, B-9000, Gent, Belgium

    K. Riemslagh & E. Dick

Authors
  1. K. Riemslagh
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  2. E. Dick
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Editor information

Editors and Affiliations

  1. FFA Stockholm, Box 11021, S-16111, Bromma 11, Sweden

    Arthur Rizzi

  2. Lausanne, Switzerland

    Inge L. Ryhming

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© 1992 Springer Fachmedien Wiesbaden

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Riemslagh, K., Dick, E. (1992). A Runge-Kutta TVD Finite Volume Method for Steady Euler Equations on Adaptive Unstructured Grids. In: Vos, J.B., Rizzi, A., Ryhming, I.L. (eds) Proceedings of the Ninth GAMM-Conference on Numerical Methods in Fluid Mechanics. Notes on Numerical Fluid Mechanics (NNFM), vol 35. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-13974-4_29

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  • DOI: https://doi.org/10.1007/978-3-663-13974-4_29

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-07635-1

  • Online ISBN: 978-3-663-13974-4

  • eBook Packages: Springer Book Archive

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