Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/30783
Título: | A very high-order finite volume method for the time-dependent convection-diffusion problem with Butcher tableau extension |
Autor(es): | Clain, Stéphane Machado, Gaspar J. |
Palavras-chave: | Finite volume Very high-order Convection-diffusion Polynomial reconstruction Butcher Tableau |
Data: | 2014 |
Editora: | Elsevier |
Revista: | Computers and Mathematics With Applications |
Resumo(s): | The time discretization of a very high-order finite volume method may give rise to new numerical difficulties resulting into accuracy degradations. Indeed, for the simple one-dimensional unstationary convection-diffusion equation for instance, a conflicting situation between the source term time discretization and the boundary conditions may arise when using the standard Runge-Kutta method. We propose an alternative procedure by extending the Butcher Tableau to overcome this specific difficulty and achieve fourth-, sixth- or eighth-order of accuracy schemes in space and time. To this end, a new finite volume method is designed based on specific polynomial reconstructions for the space discretization, while we use the Extended Butcher Tableau to perform the time discretization. A large set of numerical tests has been carried out to validate the proposed method. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/30783 |
DOI: | 10.1016/j.camwa.2014.09.001 |
ISSN: | 0898-1221 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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201411-camwai-preprint.pdf | preprint | 464,8 kB | Adobe PDF | Ver/Abrir |