Geodesic
Blended numerical schemes for the advection equation and conservation laws
Cacace, Simone1 ; Cristiani, Emiliano2 ; Ferretti, Roberto3 
1 Dipartimento di Matematica, Sapienza – Università di Roma, Rome, Italy
2 Istituto per le Applicazioni del Calcolo “M. Picone”, Consiglio Nazionale delle Ricerche, Rome, Italy
3 Dipartimento di Matematica e Fisica, Università Roma Tre, Rome, Italy
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 3, pp. 997-1019

Voir la notice de l'article provenant de la source Numdam

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.

Reçu le :
Accepté le :
DOI : 10.1051/m2an/2016047
Classification : 65M12, 65M99
Keywords: Multiscale numerical schemes, hyperbolic problems, conservation laws, advection equation, coupled algorithms, theta methods, filtered schemes, particle level-set method, smoothed-particle hydrodynamics method, particle-in-cell method

Cacace, Simone 1 ; Cristiani, Emiliano 2 ; Ferretti, Roberto 3

1 Dipartimento di Matematica, Sapienza – Università di Roma, Rome, Italy
2 Istituto per le Applicazioni del Calcolo “M. Picone”, Consiglio Nazionale delle Ricerche, Rome, Italy
3 Dipartimento di Matematica e Fisica, Università Roma Tre, Rome, Italy 
@article{M2AN_2017__51_3_997_0,
     author = {Cacace, Simone and Cristiani, Emiliano and Ferretti, Roberto},
     title = {Blended numerical schemes for the advection equation and conservation laws},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {997--1019},
     publisher = {EDP-Sciences},
     volume = {51},
     number = {3},
     year = {2017},
     doi = {10.1051/m2an/2016047},
     mrnumber = {3666654},
     zbl = {1369.65098},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2016047/}
}
TY  - JOUR
AU  - Cacace, Simone
AU  - Cristiani, Emiliano
AU  - Ferretti, Roberto
TI  - Blended numerical schemes for the advection equation and conservation laws
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2017
SP  - 997
EP  - 1019
VL  - 51
IS  - 3
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2016047/
DO  - 10.1051/m2an/2016047
LA  - en
ID  - M2AN_2017__51_3_997_0
ER  - 
%0 Journal Article
%A Cacace, Simone
%A Cristiani, Emiliano
%A Ferretti, Roberto
%T Blended numerical schemes for the advection equation and conservation laws
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2017
%P 997-1019
%V 51
%N 3
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2016047/
%R 10.1051/m2an/2016047
%G en
%F M2AN_2017__51_3_997_0
Cacace, Simone; Cristiani, Emiliano; Ferretti, Roberto. Blended numerical schemes for the advection equation and conservation laws. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 3, pp. 997-1019. doi: 10.1051/m2an/2016047

Cité par Sources :