In this paper we propose a method to couple two or more explicit numerical schemes approximating the same time-dependent PDE, aiming at creating a new scheme which inherits advan- tages of the original ones. We consider both advection equations and nonlinear conservation laws. By coupling a macroscopic (Eulerian) scheme with a microscopic (Lagrangian) scheme, we get a new kind of multiscale numerical method.
Cacace, S., Cristiani, E., Ferretti, R. (2017). Blended numerical schemes for the advection equations and conservation laws. MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE, 51(3), 997-1019 [10.1051/m2an/2016047].
Blended numerical schemes for the advection equations and conservation laws
S. Cacace;FERRETTI, Roberto
2017-01-01
Abstract
In this paper we propose a method to couple two or more explicit numerical schemes approximating the same time-dependent PDE, aiming at creating a new scheme which inherits advan- tages of the original ones. We consider both advection equations and nonlinear conservation laws. By coupling a macroscopic (Eulerian) scheme with a microscopic (Lagrangian) scheme, we get a new kind of multiscale numerical method.File in questo prodotto:
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