Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/35092
Título: | 6th-order finite volume approximations for the Stokes equations with a curved boundary |
Autor(es): | Costa, Ricardo Daniel Pereira Clain, Stéphane Machado, Gaspar J. |
Palavras-chave: | Finite volume Sixth-order approximation Stokes equation Curved boundary |
Data: | 2015 |
Editora: | Associação Portuguesa de Mecânica Teórica, Aplicada e Computacional (APMTAC) |
Resumo(s): | A new solver for the Stokes equations based on the finite volume method is proposed using very accurate polynomial reconstruction to provide a 6th-order scheme. We face two main difficulties: the gradient-divergence duality where the divergence free condition will impose the pressure gradient, and on the other hand, we assume that the domain has a regular curved boundary. The last point implies that a simple approximation of the boundary using piecewise segment lines dramatically reduces the scheme accuracy to at most a second-order one. We propose a new and simple technology which enables to restore the full scheme accuracy based on a specific polynomial reconstruction only using the Gauss points of the curved boundary and does not require any geometrical transformation. |
Tipo: | Artigo em ata de conferência |
URI: | https://hdl.handle.net/1822/35092 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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CCM-symcomp15.pdf | 683,7 kB | Adobe PDF | Ver/Abrir |