A Family of Relaxation Schemes for Nonlinear Convection Diffusion Problems

Fausto Cavalli, Giovanni Naldi, Gabriella Puppo, Matteo Semplice

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5 Citazioni (Scopus)

Abstract

In this work we present a family of relaxation schemes for nonlinear convection diffusion problems, which can tackle also the cases of degenerate diffusion and of convection dominated regimes. The schemes proposed can achieve any order of accuracy, give non-oscillatory solutions even in the presence of singularities and their structure depends only weakly on the particular PDE being integrated. One and two dimensional results are shown, and a nonlinear stability estimate is given.
Lingua originaleEnglish
pagine (da-a)532-545
Numero di pagine14
RivistaCommunications in Computational Physics
Volume5
Stato di pubblicazionePubblicato - 2009

Keywords

  • Convection-diffusion
  • degenerate parabolic problems
  • relaxation schemes

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