Preliminary results for the study of the godunov scheme applied to the linear wave equation with porosity at low mach number

Preliminary results for the study of the godunov scheme applied to the linear wave equation with porosity at low mach number

We introduce continuous tools to study the low Mach number behavior of the Godunov scheme applied to the linear wave equation with porosity on cartesian meshes. More precisely, we extend the Hodge decomposition to a weighted L2 space in the continuous case and we study...

Full description

Bibliographic Details
Main Authors: Dellacherie Stéphane, Jung Jonathan, Omnes Pascal
Format: Article
Language:English
Published: EDP Sciences 2015-12-01
Series:ESAIM: Proceedings and Surveys
Online Access:http://dx.doi.org/10.1051/proc/201552006
id doaj-231c66c52a4244138840b0e140757016
record_format Article
spelling doaj-231c66c52a4244138840b0e1407570162021-07-15T14:11:52ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592015-12-015210512610.1051/proc/201552006proc155206Preliminary results for the study of the godunov scheme applied to the linear wave equation with porosity at low mach numberDellacherie Stéphane0Jung Jonathan1Omnes Pascal2CEA, DEN, DM2S, STMF F-91191, Gif-sur-Yvette, France and Université Pierre et Marie Curie, LRC Manon and LJLLEFREI & AlliansTIC, 30-32 avenue de la République, 94800 Villejuif, France and Université Pierre et Marie Curie, LRC Manon and LJLL, 4 place Jussieu, 75252 Paris, cedex 05, France and LMA-IPRA, Université de Pau et des Pays de l’Adour, UMR CNRS 5142, Avenue de l’Université, 64013 Pau, France and INRIA Bordeaux Sud Ouest, Cagire TeamCEA, DEN, DM2S, STMF F-91191, Gif-sur-Yvette, France and Université Paris 13, Sorbonne Paris Cité, LAGA, CNRS UMR 7539We introduce continuous tools to study the low Mach number behavior of the Godunov scheme applied to the linear wave equation with porosity on cartesian meshes. More precisely, we extend the Hodge decomposition to a weighted L2 space in the continuous case and we study the properties of the modified equation associated to this Godunov scheme. This allows to partly explain the inaccuracy of the Godunov scheme at low Mach number on cartesian meshes and to propose two corrections: a first one named low Mach and a second one named all Mach. These results are preliminary since it remains to prove them in the discrete case.http://dx.doi.org/10.1051/proc/201552006
collection DOAJ
language English
format Article
sources DOAJ
author Dellacherie Stéphane
Jung Jonathan
Omnes Pascal
spellingShingle Dellacherie Stéphane
Jung Jonathan
Omnes Pascal
Preliminary results for the study of the godunov scheme applied to the linear wave equation with porosity at low mach number
ESAIM: Proceedings and Surveys
author_facet Dellacherie Stéphane
Jung Jonathan
Omnes Pascal
author_sort Dellacherie Stéphane
title Preliminary results for the study of the godunov scheme applied to the linear wave equation with porosity at low mach number
title_short Preliminary results for the study of the godunov scheme applied to the linear wave equation with porosity at low mach number
title_full Preliminary results for the study of the godunov scheme applied to the linear wave equation with porosity at low mach number
title_fullStr Preliminary results for the study of the godunov scheme applied to the linear wave equation with porosity at low mach number
title_full_unstemmed Preliminary results for the study of the godunov scheme applied to the linear wave equation with porosity at low mach number
title_sort preliminary results for the study of the godunov scheme applied to the linear wave equation with porosity at low mach number
publisher EDP Sciences
series ESAIM: Proceedings and Surveys
issn 2267-3059
publishDate 2015-12-01
description We introduce continuous tools to study the low Mach number behavior of the Godunov scheme applied to the linear wave equation with porosity on cartesian meshes. More precisely, we extend the Hodge decomposition to a weighted L2 space in the continuous case and we study the properties of the modified equation associated to this Godunov scheme. This allows to partly explain the inaccuracy of the Godunov scheme at low Mach number on cartesian meshes and to propose two corrections: a first one named low Mach and a second one named all Mach. These results are preliminary since it remains to prove them in the discrete case.
url http://dx.doi.org/10.1051/proc/201552006
work_keys_str_mv AT dellacheriestephane preliminaryresultsforthestudyofthegodunovschemeappliedtothelinearwaveequationwithporosityatlowmachnumber
AT jungjonathan preliminaryresultsforthestudyofthegodunovschemeappliedtothelinearwaveequationwithporosityatlowmachnumber
AT omnespascal preliminaryresultsforthestudyofthegodunovschemeappliedtothelinearwaveequationwithporosityatlowmachnumber
_version_ 1721300217139036160

Similar Items