In this work we present a family of relaxation schemes for non linear 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 non linear stability estimate is given.
A family of relaxation schemes for nonlinear convection diffusion schemes / F. Cavalli, G. Naldi, G. Puppo, M. Semplice. ((Intervento presentato al convegno International Conference On Spectral and High Order Methods (ICOSAHOM07) tenutosi a Beijing nel 2007.
A family of relaxation schemes for nonlinear convection diffusion schemes
F. CavalliPrimo
;G. NaldiSecondo
;M. SempliceUltimo
2008
Abstract
In this work we present a family of relaxation schemes for non linear 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 non linear stability estimate is given.
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