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Evaluation of some high-order shock capturing schemes for direct numerical simulation of unsteady two-dimensional free flows

2000; Wiley; Volume: 33; Issue: 2 Linguagem: Inglês

10.1002/(sici)1097-0363(20000530)33

1097-0363

Christian Tenaud, Éric Garnier, Pierre Sagaut,

Meteorological Phenomena and Simulations

International Journal for Numerical Methods in FluidsVolume 33, Issue 2 p. 249-278 Research Article Evaluation of some high-order shock capturing schemes for direct numerical simulation of unsteady two-dimensional free flows C. Tenaud, Corresponding Author C. Tenaud Laboratoire d'Informatique pour la Mécanique les Sciences de l'Ingénieur (CNRS-UPR 3251), BP 133, F-91403 Orsay Cedex, FranceCNRS, Laboratoire d'Informatique pour la Mécanique les Sciences de l'Ingénieur (CNRS-UPR 3251), BP 133, F-91403 Orsay Cedex, France===Search for more papers by this authorE. Garnier, E. Garnier Office National d'Etudes et de Recherches Aérospatiales DSNA/ETRI BP 72, 29 Avenue de la Division Leclerc, F-92322 Châtillon Cedex, FranceSearch for more papers by this authorP. Sagaut, P. Sagaut Office National d'Etudes et de Recherches Aérospatiales DSNA/ETRI BP 72, 29 Avenue de la Division Leclerc, F-92322 Châtillon Cedex, FranceSearch for more papers by this author C. Tenaud, Corresponding Author C. Tenaud Laboratoire d'Informatique pour la Mécanique les Sciences de l'Ingénieur (CNRS-UPR 3251), BP 133, F-91403 Orsay Cedex, FranceCNRS, Laboratoire d'Informatique pour la Mécanique les Sciences de l'Ingénieur (CNRS-UPR 3251), BP 133, F-91403 Orsay Cedex, France===Search for more papers by this authorE. Garnier, E. Garnier Office National d'Etudes et de Recherches Aérospatiales DSNA/ETRI BP 72, 29 Avenue de la Division Leclerc, F-92322 Châtillon Cedex, FranceSearch for more papers by this authorP. Sagaut, P. Sagaut Office National d'Etudes et de Recherches Aérospatiales DSNA/ETRI BP 72, 29 Avenue de la Division Leclerc, F-92322 Châtillon Cedex, FranceSearch for more papers by this author First published: 11 May 2000 https://doi.org/10.1002/(SICI)1097-0363(20000530)33:2 3.0.CO;2-ZCitations: 15AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Abstract The present study addresses the capability of a large set of shock-capturing schemes to recover the basic interactions between acoustic, vorticity and entropy in a direct numerical simulation (DNS) framework. The basic dispersive and dissipative errors are first evaluated by considering the advection of a Taylor vortex in a uniform flow. Two transonic cases are also considered. The first one consists of the interaction between a temperature spot and a weak shock. This test emphasizes the capability of the schemes to recover the production of vorticity through the baroclinic process. The second one consists of the interaction of a Taylor vortex with a weak shock, corresponding to the framework of the linear theory of Ribner. The main process in play here is the production of an acoustic wave. The results obtained by using essentially non-oscillatory (ENO), total variation diminishing (TVD), compact-TVD and MUSCL schemes are compared with those obtained by means of a sixth-order accurate Hermitian scheme, considered as reference. The results are as follows; the ENO schemes agree pretty well with the reference scheme. The second-order accurate Upwind-TVD scheme exhibits a strong numerical diffusion, while the MUSCL scheme behavior is very sensitive to the value on the parameter β in the limiter function minmod. The compact-TVD schemes do not yield improvement over the standard TVD schemes. Copyright © 2000 John Wiley & Sons, Ltd. Citing Literature Volume33, Issue230 May 2000Pages 249-278 RelatedInformation