A simple second order cartesian scheme for compressible Euler flows

We present a finite-volume scheme for compressible Euler flows where the grid is cartesian and it does not fit to the body. The scheme, based on the definition of an ad hoc Riemann problem at solid boundaries, is simple to implement and it is formally second order accurate. Error convergence rates with respect to several exact test cases are investigated and examples of flow solutions in one, two and three dimensions are presented.

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Source https://hal.science/hal-00701277
Author Gorsse, Yannick, Iollo, Angelo, Telib, Haysam, Weynans, Lisl
Maintainer CCSD
Last Updated May 17, 2026, 02:43 (UTC)
Created May 17, 2026, 02:43 (UTC)
Identifier hal-00701277
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Institut de Mathématiques de Bordeaux (IMB) ; Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)
creator Gorsse, Yannick
date 2012-03-01T00:00:00
harvest_object_id c557c6d1-ddf1-4bce-98bc-6b3b5eb6304c
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-03-18T00:00:00
set_spec type:UNDEFINED