Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/72517
Título: | Very high-order method on immersed curved domains for finite difference schemes with regular Cartesian grids |
Autor(es): | Fernández-Fidalgo, Javier Clain, Stéphane Luis Ramírez Colominas, Ignasi Nogueira, Xesús |
Palavras-chave: | High-order schemes Compressible flows Cartesian grids Finite difference Embedded boundary ROD |
Data: | 2020 |
Editora: | Elsevier 1 |
Revista: | Computer Methods in Applied Mechanics and Engineering |
Citação: | Fernández-Fidalgo, J., Clain, S., Ramírez, L., Colominas, I., & Nogueira, X. (2020). Very high-order method on immersed curved domains for finite difference schemes with regular Cartesian grids. Computer Methods in Applied Mechanics and Engineering, 360, 112782. doi: https://doi.org/10.1016/j.cma.2019.112782 |
Resumo(s): | A new very high-order technique for solving conservation laws with curved boundary domains is proposed. A Finite Difference scheme on Cartesian grids is coupled with an original ghost cell method that provide accurate approximations for smooth solutions. The technology is based on a specific least square method with restrictions that enables to handle general Robin conditions. Several examples in two-dimensional geometries are presented for the unsteady Convection–Diffusion equation and the Euler equations. A fifth-order WENO scheme is employed with matching fifth-order reconstruction at the boundaries. Arbitrary high-order reconstruction for smooth flows is achievable independently of the underlying differential equation since the method works as a black-box dedicated to boundary condition treatment. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/72517 |
DOI: | 10.1016/j.cma.2019.112782 |
ISSN: | 0045-7825 |
Versão da editora: | https://www.sciencedirect.com/science/article/abs/pii/S0045782519306747 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | DMA - Artigos (Papers) |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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1-s2.0-S0045782519306747-main.pdf | main file | 1,53 MB | Adobe PDF | Ver/Abrir |
Este trabalho está licenciado sob uma Licença Creative Commons