Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/84220
Título: | Very high-order accurate finite volume scheme for the steady-state incompressible Navier-Stokes equations with polygonal meshes on arbitrary curved boundaries |
Autor(es): | Costa, Ricardo Daniel Pereira da Clain, Stéphane Machado, Gaspar J. Nóbrega, J. M. |
Palavras-chave: | Incompressible fluid flows Navier-Stokes equations Arbitrary curved boundaries Reconstruction for off-site data method Very high-order of convergence Staggered polygonal meshes |
Data: | 1-Jun-2022 |
Editora: | Elsevier Science SA |
Revista: | Computer Methods in Applied Mechanics and Engineering |
Resumo(s): | The numerical solution of the incompressible Navier-Stokes equations raises challenging numerical issues on the development of accurate and robust discretisation techniques due to the div-grad duality. Significant advances have been achieved in the context of high-order of convergence methods, but many questions remain unsolved in the quest of practical, accurate, and efficient approaches. In particular, the discretisation of problems with arbitrary curved boundaries has been the subject of intensive research, where the conventional practice consists in employing curved meshes to avoid accuracy deterioration. The present work proposes a novel approach, the reconstruction for off-site data method, which employs polygonal meshes to approximate arbitrary smooth curved boundaries with linear piecewise elements. The Navier-Stokes equations are discretised with a staggered finite volume method, and the numerical fluxes are computed on the polygonal mesh elements. Boundary conditions are taken into account via polynomial reconstructions with specific linear constraints defined for a set of points on the physical boundary. The very-high order of convergence is preserved without relying on the full curve parametrisation, avoiding the limitations of curved mesh approaches, such as sophisticated mesh generation algorithms, cumbersome quadrature rules, and complex non-linear transformations. A comprehensive verification benchmark is provided, with numerical test cases for several fluid flow problems, to demonstrate the capability of the proposed approach to achieve very high-orders of convergence.(c) 2022 Elsevier B.V. All rights reserved. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/84220 |
DOI: | 10.1016/j.cma.2022.115064 |
ISSN: | 0045-7825 |
Arbitragem científica: | yes |
Acesso: | Acesso restrito autor |
Aparece nas coleções: | IPC - Artigos em revistas científicas internacionais com arbitragem |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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PublishedPaper.pdf Acesso restrito! | 6,14 MB | Adobe PDF | Ver/Abrir |