Artículo
On well-balanced finite volume methods for non-conservative non-homogeneous hyperbolic systems
Título alternativo | Well-balanced Finite volume solvers |
Autor/es | Chacón Rebollo, Tomás
Fernández Nieto, Enrique Domingo Parés Madroñal, Carlos |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2007 |
Fecha de depósito | 2016-01-20 |
Publicado en |
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Resumen | In this work we introduce a general family of finite volume methods for non-homogeneous hyperbolic systems with non-conservative terms. We prove that all of them are “asymptotically well-balanced”: They preserve all smooth ... In this work we introduce a general family of finite volume methods for non-homogeneous hyperbolic systems with non-conservative terms. We prove that all of them are “asymptotically well-balanced”: They preserve all smooth stationary solutions in all the domain but a set whose measure tends to zero as ∆x tends to zero. This theory is applied to solve the bilayer Shallow-Water equations with arbitrary cross-section. Finally, some numerical tests are presented for simplified but meaningful geometries, comparing the computed solution with approximated asymptotic analytical solutions. |
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