Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/91174
Título: | A posteriori stabilized sixth-order finite volume scheme with adaptive stencil construction: Basics for the 1D steady-state hyperbolic equations |
Autor(es): | Machado, Gaspar J. Clain, Stéphane Loubere, Raphael |
Palavras-chave: | Finite volume MOOD Adaptive stencil Steady-state solution Euler equations High order |
Data: | 2021 |
Editora: | Springer |
Revista: | Communications on Applied Mathematics and Computation |
Citação: | Machado, G. J., Clain, S., & Loubère, R. (2021, July 29). A Posteriori Stabilized Sixth-Order Finite Volume Scheme with Adaptive Stencil Construction: Basics for the 1D Steady-State Hyperbolic Equations. Communications on Applied Mathematics and Computation. Springer Science and Business Media LLC. http://doi.org/10.1007/s42967-021-00140-7 |
Resumo(s): | We propose an adaptive stencil construction for high-order accurate finite volume schemes a posteriori stabilized devoted to solve one-dimensional steady-state hyperbolic equations. High accuracy (up to the sixth-order presently) is achieved, thanks to polynomial reconstructions while stability is provided with an a posteriori MOOD method which controls the cell polynomial degree for eliminating non-physical oscillations in the vicinity of discontinuities. We supplemented this scheme with a stencil construction allowing to reduce even further the numerical dissipation. The stencil is shifted away from troubles (shocks, discontinuities, etc.) leading to less oscillating polynomial reconstructions. Experimented on linear, Burgers', and Euler equations, we demonstrate that the adaptive stencil technique manages to retrieve smooth solutions with optimal order of accuracy but also irregular ones without spurious oscillations. Moreover, we numerically show that the approach allows to reduce the dissipation still maintaining the essentially non-oscillatory behavior. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/91174 |
DOI: | 10.1007/s42967-021-00140-7 |
ISSN: | 2096-6385 |
e-ISSN: | 2661-8893 |
Versão da editora: | https://link.springer.com/article/10.1007/s42967-021-00140-7 |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
Aparece nas coleções: | CDF - FCT - Artigos/Papers (with refereeing) |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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s42967-021-00140-7.pdf Acesso restrito! | 1,85 MB | Adobe PDF | Ver/Abrir |