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 advantages 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.
Blended numerical schemes for the advection equation and conservation laws / Cacace, S.; Cristiani, E.; Ferretti, R.. - In: ESAIM. MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS. - ISSN 2822-7840. - 51:3(2017), pp. 997-1019. [10.1051/m2an/2016047]
Blended numerical schemes for the advection equation and conservation laws
Cacace S.
;
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 advantages 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 | Dimensione | Formato | |
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