Skip to main content

Hybrid-cartesian grid procedure for the simulation of compressible turbulent flows

  • Numerical Methods
  • Conference paper
  • First Online:
Sixteenth International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 515))

Abstract

The aim of the paper is to present a fast and robust method for computing turbulent viscous flows around complex geometries. A single unstructured mesh made of general polygonal elements is obtained by intersecting hyperbolic grids generated in the boundary layers and in the wakes with a Cartesian grid covering the whole domain of computation. The flow solver is based on a cell-centered high-order finite volume scheme. A multigrid preconditioned Newton-Krylov method is used to obtain steady-state solutions.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • M. J. Aftosmis, M. J. Berger, and J. E. Melton, Robust and efficient Cartesian mesh generation for component-based geometry. AIAA Journal, 36(6):952–960, June 1998.

    Article  ADS  Google Scholar 

  • P. N. Brown and Y. Saad, Hybrid Krylov methods for nonlinear systems of equations. SIAM J. on Scientific and Statistical Computing, 11(3):450–481, 1990.

    Article  MATH  MathSciNet  Google Scholar 

  • M. Delanaye, P. Geuzaine, and J.-A. Essers, Development and application of quadratic reconstruction schemes for compressible flows on unstructured adaptive grids. AIAA paper 97–2120, July 1997.

    Google Scholar 

  • L.-E. Eriksson, A preconditioned Navier-Stokes solver for low Mach number flows. In Proc. of the Third ECCOMAS CFD, pages 199–205, Paris, Sep. 1996. Wiley.

    Google Scholar 

  • P. Geuzaine, M. Delanaye, and J.-A. Essers, Computations of high Reynolds number flows with an implicit quadratic reconstruction scheme on unstructured grids. AIAA paper 97–1947, July 1997.

    Google Scholar 

  • C. T. Kelley and D. E. Keyes, Convergence analysis of pseudo-transient continuation. SIAM Journal on Numerical Analysis, 35(2):508–523, 1998.

    Article  MATH  MathSciNet  Google Scholar 

  • D. A. Knoll and W. J. Rider, Multigrid preconditioning of Newton-Krylov methods. In Proc. of CCMM'97, Copper Mountain, CO, April 1997.

    Google Scholar 

  • P. R. Spalart and S. R. Allmaras, A one-equation turbulence model for aerodynamic flows. AIAA paper 92–0439, January 1992.

    Google Scholar 

  • B. van den Bergh, Boundary layer measurements on a two-dimensional wing with flap. Technical Report NLR TR-79009 U, NLR, 1979.

    Google Scholar 

  • Z. J. Wang and M. J. Berger, Towards automatic grid independent viscous solutions with an adaptive Cartesian/Quad grid flow solver. In Proceedings of the 15th ICNMFD, pages 352–358, Monterey, CA, June 1996.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Charles-Henri Bruneau

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag

About this paper

Cite this paper

Geuzaine, P., Essers, JA. (1998). Hybrid-cartesian grid procedure for the simulation of compressible turbulent flows. In: Bruneau, CH. (eds) Sixteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 515. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0106559

Download citation

  • DOI: https://doi.org/10.1007/BFb0106559

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65153-6

  • Online ISBN: 978-3-540-49540-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics