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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2015-12-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | http://dx.doi.org/10.1051/proc/201552006 |
| Summary: | 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. |
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| ISSN: | 2267-3059 |