High-order mixed weighted compact and non-compact scheme for shock and small length scale interaction

It is critical for a numerical scheme to obtain numerical results as accurate as possible with limited computational resources. Turbulent processes are very sensitive to numerical dissipation, which may dissipate the small length scales. On the other hand, dealing with shock waves, capturing and rep...

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Detalles Bibliográficos
Autores: Stipcich, G., Fu, H., Liu, C.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/370
Acceso en línea:http://hdl.handle.net/20.500.11824/370
Access Level:acceso abierto
Palabra clave:compact scheme
high order
high resolution
shock detector
WENO
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spelling High-order mixed weighted compact and non-compact scheme for shock and small length scale interactionStipcich, G.Fu, H.Liu, C.compact schemehigh orderhigh resolutionshock detectorWENOIt is critical for a numerical scheme to obtain numerical results as accurate as possible with limited computational resources. Turbulent processes are very sensitive to numerical dissipation, which may dissipate the small length scales. On the other hand, dealing with shock waves, capturing and reproducing of the discontinuity may lead to non-physical oscillations for non-dissipative high-order schemes. In the present work, a new high-order mixed weighted compact and non-compact difference scheme (MWCS hereafter) is proposed for accurate approximation of the derivatives in the governing Euler equations. The basic idea is to recover the non-dissipative high-order weighted compact scheme (WCS) in smooth regions, while linearly combine the WCS with a non-compact scheme, the weighted essentially non-oscillatory (WENO) scheme, for near-shock areas, by using a shock-detecting function. The proposed formulation does not involve any case-dependent adjustable parameter. A detailed Fourier and local truncation error analysis are used for assessing the dispersion and dissipation characteristics of the scheme. Numerical tests are performed for the one- and two-dimensional case and the results are compared with the well-established WENO scheme and the WCS.201720172013info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/370reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84873306480&doi=10.1080%2f00207160.2012.718336&partnerID=40&md5=f1d717d70c6671ebb3d2f7e600383022info:eu-repo/grantAgreement/EC/H2020/731063info:eu-repo/grantAgreement/MINECO//MTM2016-76016-RReconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/3702026-06-19T12:47:47Z
dc.title.none.fl_str_mv High-order mixed weighted compact and non-compact scheme for shock and small length scale interaction
title High-order mixed weighted compact and non-compact scheme for shock and small length scale interaction
spellingShingle High-order mixed weighted compact and non-compact scheme for shock and small length scale interaction
Stipcich, G.
compact scheme
high order
high resolution
shock detector
WENO
title_short High-order mixed weighted compact and non-compact scheme for shock and small length scale interaction
title_full High-order mixed weighted compact and non-compact scheme for shock and small length scale interaction
title_fullStr High-order mixed weighted compact and non-compact scheme for shock and small length scale interaction
title_full_unstemmed High-order mixed weighted compact and non-compact scheme for shock and small length scale interaction
title_sort High-order mixed weighted compact and non-compact scheme for shock and small length scale interaction
dc.creator.none.fl_str_mv Stipcich, G.
Fu, H.
Liu, C.
author Stipcich, G.
author_facet Stipcich, G.
Fu, H.
Liu, C.
author_role author
author2 Fu, H.
Liu, C.
author2_role author
author
dc.subject.none.fl_str_mv compact scheme
high order
high resolution
shock detector
WENO
topic compact scheme
high order
high resolution
shock detector
WENO
description It is critical for a numerical scheme to obtain numerical results as accurate as possible with limited computational resources. Turbulent processes are very sensitive to numerical dissipation, which may dissipate the small length scales. On the other hand, dealing with shock waves, capturing and reproducing of the discontinuity may lead to non-physical oscillations for non-dissipative high-order schemes. In the present work, a new high-order mixed weighted compact and non-compact difference scheme (MWCS hereafter) is proposed for accurate approximation of the derivatives in the governing Euler equations. The basic idea is to recover the non-dissipative high-order weighted compact scheme (WCS) in smooth regions, while linearly combine the WCS with a non-compact scheme, the weighted essentially non-oscillatory (WENO) scheme, for near-shock areas, by using a shock-detecting function. The proposed formulation does not involve any case-dependent adjustable parameter. A detailed Fourier and local truncation error analysis are used for assessing the dispersion and dissipation characteristics of the scheme. Numerical tests are performed for the one- and two-dimensional case and the results are compared with the well-established WENO scheme and the WCS.
publishDate 2013
dc.date.none.fl_str_mv 2013
2017
2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/370
url http://hdl.handle.net/20.500.11824/370
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.scopus.com/inward/record.uri?eid=2-s2.0-84873306480&doi=10.1080%2f00207160.2012.718336&partnerID=40&md5=f1d717d70c6671ebb3d2f7e600383022
info:eu-repo/grantAgreement/EC/H2020/731063
info:eu-repo/grantAgreement/MINECO//MTM2016-76016-R
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
reponame_str BIRD. BCAM's Institutional Repository Data
collection BIRD. BCAM's Institutional Repository Data
repository.name.fl_str_mv
repository.mail.fl_str_mv
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