Godunov type scheme for the linear wave equation with Coriolis source term

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...

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Main Authors: Audusse Emmanuel, Dellacherie Stéphane, Do Minh Hieu, Omnes Pascal, Penel Yohan
Format: Article
Language:English
Published: EDP Sciences 2017-01-01
Series:ESAIM: Proceedings and Surveys
Online Access:https://doi.org/10.1051/proc/201758001
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spelling doaj-f6d2f16fad864393b11e1557192ac7ac2021-07-15T14:13:15ZengEDP 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
collection DOAJ
language English
format Article
sources DOAJ
author Audusse Emmanuel
Dellacherie Stéphane
Do Minh Hieu
Omnes Pascal
Penel Yohan
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
author_facet Audusse Emmanuel
Dellacherie Stéphane
Do Minh Hieu
Omnes Pascal
Penel Yohan
author_sort Audusse Emmanuel
title 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_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_sort godunov type scheme for the linear wave equation with coriolis source term
publisher EDP Sciences
series ESAIM: Proceedings and Surveys
issn 2267-3059
publishDate 2017-01-01
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.
url https://doi.org/10.1051/proc/201758001
work_keys_str_mv AT audusseemmanuel godunovtypeschemeforthelinearwaveequationwithcoriolissourceterm
AT dellacheriestephane godunovtypeschemeforthelinearwaveequationwithcoriolissourceterm
AT dominhhieu godunovtypeschemeforthelinearwaveequationwithcoriolissourceterm
AT omnespascal godunovtypeschemeforthelinearwaveequationwithcoriolissourceterm
AT penelyohan godunovtypeschemeforthelinearwaveequationwithcoriolissourceterm
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