Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/87450
Título: | Very high-order finite difference method on arbitrary geometries with Cartesian grids for non-linear convection diffusion reaction equations |
Autor(es): | Clain, Stéphane Lopes, Diogo Pereira, Rui M. S. Pereira, Paulo A. |
Palavras-chave: | Very high-order Finite difference Arbitrary geometries ROD polynomial Immersed boundary |
Data: | Fev-2024 |
Editora: | Elsevier 1 |
Revista: | Journal of Computational Physics |
Citação: | Clain, S., Lopes, D., Pereira, R. M. S., & Pereira, P. A. (2024, February). Very high-order finite difference method on arbitrary geometries with Cartesian grids for non-linear convection diffusion reaction equations. Journal of Computational Physics. Elsevier BV. http://doi.org/10.1016/j.jcp.2023.112667 |
Resumo(s): | An arbitrary order finite difference method for solving non-linear convection Diffusion Reaction equations in curved boundary domains with Cartesian grid is proposed. Ghost points' values are determined with the Reconstruction Off-Site Data based on a polynomial interpolation using the least square method with constraints to enforce the boundary conditions. We propose a second-, fourth-, and sixth-order schemes for linear non-constant coefficients problem in both the conservative and non-conservative scalar equations. Extensions to non-linear scalar problems and systems are then implemented while preserving the optimal orders. Numerical simulations are carried out to provide evidence about the convergence order and the stability of the method. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/87450 |
DOI: | 10.1016/j.jcp.2023.112667 |
ISSN: | 0021-9991 |
e-ISSN: | 1090-2716 |
Versão da editora: | https://www.sciencedirect.com/science/article/pii/S0021999123007623 |
Arbitragem científica: | yes |
Acesso: | Acesso embargado (2 Anos) |
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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1-s2.0-S0021999123007623-main.pdf Até 2025-11-28 | 3,13 MB | Adobe PDF | Ver/Abrir |
Este trabalho está licenciado sob uma Licença Creative Commons