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

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.
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11590/320744
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