Godunov type scheme for the linear wave equation with Coriolis source term
We propose a method to explain the behaviour of the Godunov finite volume scheme applied to the linear wave equation with Coriolis source term at low Froude number. In particular, we use the Hodge decomposition and we study the properties of the modified equation associated to the Godunov scheme. Ba...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2017-01-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | https://doi.org/10.1051/proc/201758001 |
| _version_ | 1797971387786199040 |
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| author | Audusse Emmanuel Dellacherie Stéphane Do Minh Hieu Omnes Pascal Penel Yohan |
| author_facet | Audusse Emmanuel Dellacherie Stéphane Do Minh Hieu Omnes Pascal Penel Yohan |
| author_sort | Audusse Emmanuel |
| collection | DOAJ |
| description | We propose a method to explain the behaviour of the Godunov finite volume scheme applied to the linear wave equation with Coriolis source term at low Froude number. In particular, we use the Hodge decomposition and we study the properties of the modified equation associated to the Godunov scheme. Based on the structure of the discrete kernel of the linear operator discretized by using the Godunov scheme, we clearly explain the inaccuracy of the classical Godunov scheme at low Froude number and we introduce a way to modify it to recover a correct accuracy. |
| first_indexed | 2024-04-11T03:31:50Z |
| format | Article |
| id | doaj.art-f6d2f16fad864393b11e1557192ac7ac |
| institution | Directory Open Access Journal |
| issn | 2267-3059 |
| language | English |
| last_indexed | 2024-04-11T03:31:50Z |
| publishDate | 2017-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ESAIM: Proceedings and Surveys |
| spelling | doaj.art-f6d2f16fad864393b11e1557192ac7ac2023-01-02T06:33:43ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592017-01-015812610.1051/proc/201758001proc17581Godunov type scheme for the linear wave equation with Coriolis source termAudusse EmmanuelDellacherie StéphaneDo Minh HieuOmnes PascalPenel YohanWe propose a method to explain the behaviour of the Godunov finite volume scheme applied to the linear wave equation with Coriolis source term at low Froude number. In particular, we use the Hodge decomposition and we study the properties of the modified equation associated to the Godunov scheme. Based on the structure of the discrete kernel of the linear operator discretized by using the Godunov scheme, we clearly explain the inaccuracy of the classical Godunov scheme at low Froude number and we introduce a way to modify it to recover a correct accuracy.https://doi.org/10.1051/proc/201758001 |
| spellingShingle | Audusse Emmanuel Dellacherie Stéphane Do Minh Hieu Omnes Pascal Penel Yohan Godunov type scheme for the linear wave equation with Coriolis source term ESAIM: Proceedings and Surveys |
| title | Godunov type scheme for the linear wave equation with Coriolis source term |
| title_full | Godunov type scheme for the linear wave equation with Coriolis source term |
| title_fullStr | Godunov type scheme for the linear wave equation with Coriolis source term |
| title_full_unstemmed | Godunov type scheme for the linear wave equation with Coriolis source term |
| title_short | Godunov type scheme for the linear wave equation with Coriolis source term |
| title_sort | godunov type scheme for the linear wave equation with coriolis source term |
| url | https://doi.org/10.1051/proc/201758001 |
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