Skip to main content
SpringerLink
Log in

A Flux Correction Multigrid for Compressible Flow

  • Published:
Numerical Algorithms Aims and scope Submit manuscript

Abstract

A finite-volume based linear multigrid algorithm is proposed and used within an implicit linearized scheme to solve Navier–Stokes equations for compressible laminar flows. Coarse level problems are constructed algebraically based on convective and diffusive fluxes, without the knowledge of coarse geometry. Numerical results for complex 2D geometries such as airfoils, including stretched meshes, show mesh size independent convergence and efficiency of the method compared to other finite-volume-based multigrid method.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. Eymard, T. Gallouët, and R. Herbin, Finite Volume Methods, Handbook of Numerical Analysis, Vol. VII (North-Holland, Amsterdam, 2000) pp. 713–1020.

    Google Scholar 

  2. L. Fezoui, S. Lanteri, B. Larouturrou and C. Olivier, Résolution numérique des équations de Navier-Stokes pour un fluide compressible en maillage triangulaire, INRIA Research Report No. 1033 (1989).

  3. H. Guillard, Mixed Element Volume Approach in Computational Fluid Dynamics, von Karman Institute Lecture Series (1995).

  4. B. Koobus, M.-H. Lallemand and A. Dervieux, Unstructured volume agglomeration MG: Solution of the Poisson equation, Internat. J. Numer. Methods Fluids 18 (1994) 27–42.

    Google Scholar 

  5. D. Mavriplis, An assesment of linear versus nonlinear multigrid methods for unstructured mesh solvers, ICASE Report No. 2001-12 (May 2001), and in: Proc. of the 10th Copper Mountain Conf. on Multigrid Methods (2001).

  6. P. Vaněk, A. Janka and H. Guillard, Convergence of the algebraic multigrid based on smoothed aggregation II: Extension to a Petrov–Galerkin method, INRIA Research Report No. 3683.

Download references

Author information

Authors and Affiliations

  1. INRIA Sophia Antipolis, 2004, route des Lucioles, B.P. 93, 06902, Sophia Antipolis, France

    Aleš Janka

Authors
  1. Aleš Janka
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Janka, A. A Flux Correction Multigrid for Compressible Flow. Numerical Algorithms 33, 319–330 (2003). https://doi.org/10.1023/A:1025536726786

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1025536726786

Search

Navigation