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High-order residual distribution : discontinuity capturing crosswind dissipation and diffusion

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Computational Fluid Dynamics 2006

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Abstract

We review a class of compact methods to approximate steady solutions to

$$\frac{\partial u}{\partial t}+\nabla\cdot{\cal F}(u)=\nabla\cdot(\nu\nabla u)\quad \forall(x,y)\in\Omega$$
((1))

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References

  1. Ricchiuto, M., Villedieu, N., Abgrall, R., Deconinck, H.: High-order residual distribution schemes : discontinuity capturing crosswind dissipation and extension to advection-diffusion, VKI LS on Higher Order Discretization Methods for Computational Physics, Von Karman Institute for Fluid Dynamics (2005)

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  2. Abgrall, R. : Very high order residual distribution methods, VKI LS-CFD, (2005)

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  3. De Palma, P. : Implicit third-order-accurate residal distribution schemes for unsteady hyperbolic problems, VKI LS -CFD (2005)

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  4. Nishikawa, H. : Higher order discretization of diffusion terms in residual distribution methods, VKI LS-CFD, (2005)

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  5. Abgrall, R., Roe, P.L.: High order fluctuation schemes on triangular meshes. J. Sci. Comput., 19(3), 3–36 (2003)

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Author information

Authors and Affiliations

  1. von Karman Institute for Fluid Dynamics, Belgium

    N. Villedieu-Ligout & H. Deconinck

  2. INRIA Futurs, project ScAlApplix and MAB, Université de Bordeaux I, France

    M. Ricchiuto

Authors
  1. N. Villedieu-Ligout
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  2. M. Ricchiuto
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  3. H. Deconinck
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Corresponding author

Correspondence to N. Villedieu-Ligout .

Editor information

Editors and Affiliations

  1. Dynamique des Fluides, Institut von Karman de, Chaussee de Waterloo 72, Rhode-St.-Genese, 1640, Belgium

    Herman Deconinck

  2. Fac. Engineering, University of Ghent, Sint-Pietersnieuwstraat 41, Gent, 9000, Belgium

    E. Dick

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© 2009 Springer-Verlag Berlin Heidelberg

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Villedieu-Ligout, N., Ricchiuto, M., Deconinck, H. (2009). High-order residual distribution : discontinuity capturing crosswind dissipation and diffusion. In: Deconinck, H., Dick, E. (eds) Computational Fluid Dynamics 2006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92779-2_8

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  • DOI: https://doi.org/10.1007/978-3-540-92779-2_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-92778-5

  • Online ISBN: 978-3-540-92779-2

  • eBook Packages: EngineeringEngineering (R0)

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