In this work we compare two semidiscrete schemes for the solution of hyperbolic conservation laws, namely the relaxation [JX95] and the Kurganov Tadmor central scheme [KTOO]. We are particularly interested in their behavior under small time steps, in view of future applications to convection diffusion problems. The schemes are tested on two benchmark problems, with one space variable.
Cavalli, F., Naldi, G., Puppo, G., Semplice, M., A comparison between relaxation and Kurganov-Tadmor schemes, Contributed paper, in PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2006, (Madrid, 10-14 July 2006), SPRINGER-VERLAG BERLIN, Berlin Heidelberg 2008:<<MATHEMATICS IN INDUSTRY>>, 236-240 [http://hdl.handle.net/10807/85648]
A comparison between relaxation and Kurganov-Tadmor schemes
Cavalli, FaustoPrimo
;
2008
Abstract
In this work we compare two semidiscrete schemes for the solution of hyperbolic conservation laws, namely the relaxation [JX95] and the Kurganov Tadmor central scheme [KTOO]. We are particularly interested in their behavior under small time steps, in view of future applications to convection diffusion problems. The schemes are tested on two benchmark problems, with one space variable.
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