Blended numerical schemes for the advection equation and conservation laws
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 macroscopi...
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| Veröffentlicht in: | ESAIM. Mathematical modelling and numerical analysis 2017-05, Vol.51 (3), p.997-1019 |
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| container_title | ESAIM. Mathematical modelling and numerical analysis |
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| creator | Cacace, Simone Cristiani, Emiliano Ferretti, Roberto |
| description | 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. |
| doi_str_mv | 10.1051/m2an/2016047 |
| format | Article |
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| ispartof | ESAIM. Mathematical modelling and numerical analysis, 2017-05, Vol.51 (3), p.997-1019 |
| issn | 0764-583X 1290-3841 |
| language | eng |
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| source | Alma/SFX Local Collection |
| subjects | 65M12 65M99 Advection advection equation Conservation laws coupled algorithms filtered schemes hyperbolic problems Multiscale analysis Multiscale numerical schemes Nonlinear equations Numerical methods particle level-set method particle-in-cell method smoothed-particle hydrodynamics method theta methods Time dependence |
| title | Blended numerical schemes for the advection equation and conservation laws |
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