Corpus ID: 15176259

Numerical approximation of parabolic problems by means of residual distribution schemes

@inproceedings{Abgrall2011NumericalAO,
  title={Numerical approximation of parabolic problems by means of residual distribution schemes},
  author={R. Abgrall and G. Baurin and A. Krust and D. D. Santis and M. Ricchiuto},
  year={2011}
}
  • R. Abgrall, G. Baurin, +2 authors M. Ricchiuto
  • Published 2011
  • Mathematics
  • We are interested in the numerical approximation of steady scalar convection diffusion problems by mean of high order schemes called Residual Distribution (RD). In the inviscid case, one can develop non linear RD that are non oscillatory, even in the case of very strong shocks, while having the most possible compact stencil, on hybrid unstructured meshes. This paper proposes and compare several extension of these schemes for the convection diffusion problem. This methodology, in particular in… CONTINUE READING
    7 Citations

    Figures and Tables from this paper

    References

    SHOWING 1-10 OF 26 REFERENCES
    Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes
    • 83
    • PDF
    On uniformly high-order accurate residual distribution schemes for advection – diffusion
    • M. Ricchiutoa, N. Villedieuc, R. Abgralla, H. Deconinckc
    • 2008
    • 11
    • PDF
    High order residual distribution scheme for Navier-Stokes equations.
    • 7
    • PDF
    High Order Fluctuation Schemes on Triangular Meshes
    • 159
    • PDF
    Discontinuous fluctuation distribution
    • M. Hubbard
    • Mathematics, Computer Science
    • J. Comput. Phys.
    • 2008
    • 20
    • PDF
    Residual distribution schemes: Current status and future trends
    • 110
    • PDF
    Essentially non-oscillatory Residual Distribution schemes for hyperbolic problems
    • R. Abgrall
    • Mathematics, Computer Science
    • J. Comput. Phys.
    • 2006
    • 101
    • PDF