A Family of Relaxation Schemes for Nonlinear Convection Diffusion Problems

查看全文 作　　者：Fausto [1]Cavalli;Giovanni [2]Naldi;Gabriella [3]Puppo;Matteo [2]Semplice 机构地区：[1]Universita degli Studi di Brescia,Dipartimento di Matematica,Via Valotti,9-25133 Brescia,Italy;[2]Universita degli Studi di Milano,Dipartimento di Matematica,Via Saldini 50,20133 Milano,Italy;[3]Politecnico di Torino,Dipartimento di Matematica,Corso Duca degli Abruzzi 24,10129 Torino,Italy 出　　处：《Communications in Computational Physics》索引2009年第5卷第2期,共14页 基　　金：This work was supported by MIUR/PRIN2005 project“Modellistica numerica per il cal-colo scientifico ed applicazioni avanzate”. 摘　　要：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. 关 键 词：CONVECTION-DIFFUSION relaxation schemes degenerate parabolic problems