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1. Identity statement
Reference TypeJournal Article
Sitemtc-m21c.sid.inpe.br
Holder Codeisadg {BR SPINPE} ibi 8JMKD3MGPCW/3DT298S
Identifier8JMKD3MGP3W34R/42HQJF8
Repositorysid.inpe.br/mtc-m21c/2020/05.26.11.34   (restricted access)
Last Update2020:05.26.11.34.42 (UTC) administrator
Metadata Repositorysid.inpe.br/mtc-m21c/2020/05.26.11.34.42
Metadata Last Update2022:01.04.01.35.09 (UTC) administrator
DOI10.1016/j.compfluid.2020.104583
ISSN0045-7930
Citation KeyDeiterdingDomiSchn:2020:CaStEu
TitleMultiresolution analysis as a criterion for effective dynamic mesh adaptation: a case study for Euler equations in the SAMR framework AMROC
Year2020
MonthJune
Access Date2024, May 09
Type of Workjournal article
Secondary TypePRE PI
Number of Files1
Size3761 KiB
2. Context
Author1 Deiterding, Ralf
2 Domingues, Margarete Oliveira
3 Schneider, Kai
Resume Identifier1
2 8JMKD3MGP5W/3C9JHQP
Group1
2 LABAC-COCTE-INPE-MCTIC-GOV-BR
Affiliation1 University of Southampton
2 Instituto Nacional de Pesquisas Espaciais (INPE)
3 Aix-Marseille Université
Author e-Mail Address1 r.deiterding@soton.ac.uk
2 margarete.domingues@inpe.br
3 kai.schneider@univ-amu.fr
JournalComputers and Fluids
Volume205
Pagese104583
Secondary MarkA1_ENGENHARIAS_I A2_ENGENHARIAS_III A2_CIÊNCIA_DA_COMPUTAÇÃO B1_ENGENHARIAS_IV B2_MATERIAIS B3_MATEMÁTICA_/_PROBABILIDADE_E_ESTATÍSTICA B3_ASTRONOMIA_/_FÍSICA
History (UTC)2020-05-26 11:35:10 :: simone -> administrator :: 2020
2022-01-04 01:35:09 :: administrator -> simone :: 2020
3. Content and structure
Is the master or a copy?is the master
Content Stagecompleted
Transferable1
Content TypeExternal Contribution
Version Typepublisher
KeywordsBlock-structured parallel adaptive mesh refinement
Adaptation criteria
Multiresolution analysis
Wavelets
Compressible EULER equations
AMROC
AbstractDynamic mesh adaptation methods require suitable refinement indicators. In the absence of a comprehensive error estimation theory, adaptive mesh refinement (AMR) for nonlinear hyperbolic conservation laws, e.g. compressible Euler equations, in practice utilizes mainly heuristic smoothness indicators like combinations of scaled gradient criteria. As an alternative, we describe in detail an easy to implement and computationally inexpensive criterion built on a two-level wavelet transform that applies projection and prediction operators from multiresolution analysis. The core idea is the use of the amplitude of the wavelet coefficients as smoothness indicator, as it can be related to the local regularity of the solution. Implemented within the fully parallelized and structured adaptive mesh refinement (SAMR) software system AMROC (Adaptive Mesh Refinement in Object-oriented C++), the proposed criterion is tested and comprehensively compared to results obtained by applying the scaled gradient approach. A rigorous quantification technique in terms of numerical adaptation error versus used finite volume cells is developed and applied to study typical two- and three-dimensional problems from compressible gas dynamics. It is found that the proposed multiresolution approach is considerably more efficient and also identifies besides discontinuous shock and contact waves in particular smooth rarefaction waves and their interaction as well as small-scale disturbances much more reliably. Aside from pathological cases consisting solely of planar shock waves, the majority of realistic cases show reductions in the number of used finite volume cells between 20 to 40%, while the numerical error remains basically unaltered.
AreaCOMP
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4. Conditions of access and use
Languageen
User Groupself-uploading-INPE-MCTI-GOV-BR
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Update Permissionnot transferred
5. Allied materials
LinkingTrabalho não Vinculado à Tese/Dissertação
Next Higher Units8JMKD3MGPCW/3ESGTTP
DisseminationWEBSCI; PORTALCAPES.
Host Collectionurlib.net/www/2017/11.22.19.04
6. Notes
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