Publicação
A MOOD-MUSCL hybrid formulation for the non-conservative shallow-water system
| Resumo: | The stability of the high-order finite volume method for hyperbolic systems is based on nonlinear procedures that prevent the creation of non-physical oscillations.Traditional techniques use the a priori paradigm where the procedure is carried out with the current time step solution. The a posteriori paradigm lies on an advanced in time candidate solution and a posterior evaluation of its stability, followed by a cure when necessary. To compare the two strategies, we propose a detailed study using the non-conservative shallow-water equations as a prototype, where both techniques are applied together in the framework of second-order linear reconstruction for the sake of simplicity. Then, a hybrid version combining the most positive aspects of both methods is proposed and analysed. |
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| Autores principais: | Figueiredo, Jorge |
| Outros Autores: | Clain, Stéphane |
| Assunto: | MOOD MUSCL Finite volume High-order Non-conservative problem Shallow-water Ciências Naturais::Matemáticas Ciências Naturais::Ciências Físicas |
| Ano: | 2021 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| Resumo: | The stability of the high-order finite volume method for hyperbolic systems is based on nonlinear procedures that prevent the creation of non-physical oscillations.Traditional techniques use the a priori paradigm where the procedure is carried out with the current time step solution. The a posteriori paradigm lies on an advanced in time candidate solution and a posterior evaluation of its stability, followed by a cure when necessary. To compare the two strategies, we propose a detailed study using the non-conservative shallow-water equations as a prototype, where both techniques are applied together in the framework of second-order linear reconstruction for the sake of simplicity. Then, a hybrid version combining the most positive aspects of both methods is proposed and analysed. |
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