In this work we compare two semidiscrete schemes for the solution of hyperbolic conservation laws, namely the relaxation and the Kurganov Tadmor central scheme. 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.
A comparison between relaxation and Kurganov-Tadmor schemes / F. Cavalli, G. Naldi, G. Puppo, M. Semplice - In: Progress in Industrial Mathematics at ECMI 2006 / [a cura di] L. Bonilla, M. Moscoso, G. Platero, and J. Vega. - Berlin : Springer, 2007. - ISBN 978-3-540-71991-5. - pp. 236-240 (( Intervento presentato al 14. convegno ECMI 2006 tenutosi a Madrid nel 2006.
A comparison between relaxation and Kurganov-Tadmor schemes
F. CavalliPrimo
;G. NaldiSecondo
;M. SempliceUltimo
2007
Abstract
In this work we compare two semidiscrete schemes for the solution of hyperbolic conservation laws, namely the relaxation and the Kurganov Tadmor central scheme. 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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