Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/57483
Título: | Very high-order accurate finite volume scheme on curved boundaries for the two-dimensional steady-state convection–diffusion equation with Dirichlet condition |
Autor(es): | Costa, Ricardo Daniel Pereira da Clain, Stéphane Loubère, Raphaël Machado, Gaspar J. |
Palavras-chave: | Very high-order finite volume method Curved boundaries Reconstruction for Off-site Data (ROD) |
Data: | 2018 |
Editora: | Elsevier 1 |
Revista: | Applied Mathematical Modelling |
Resumo(s): | Accuracy may be dramatically reduced when the boundary domain is curved and numeri- cal schemes require a specific treatment of the boundary condition to preserve the optimal order. In the finite volume context, Ollivier-Gooch and Van Altena (2002) has proposed a technique to overcome such limitation and restore the very high-order accuracy which consists in specific restrictions considered in the least-squares minimization associated to the polynomial reconstruction. The method suffers from several drawbacks, particularly, the use of curved elements that requires sophisticated meshing algorithms. We propose a new method where the physical domain and the computational domain are distinct and we introduce the Reconstruction for Off-site Data (ROD) where polynomial reconstructions are carried out on the mesh using data localized outside of the computational domain, namely the Dirichlet condition situated on the physical domain. A series of numerical tests assess the accuracy, convergence rates, robustness, and efficiency of the new method and show that the boundary condition is fully integrated in the scheme with a very high-order accuracy and the optimal convergence rate is achieved. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/57483 |
DOI: | 10.1016/j.apm.2017.10.016 |
ISSN: | 0307-904X |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |