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Comparison of different approaches to calculating pointwise traction in flow

dc.contributor.authorCach, Jakub
dc.contributor.authorBlechta, Jan
dc.contributor.authorSchwarzacher, Sebastian
dc.contributor.authorTůma, Karel
dc.date.accessioned2025-03-03T06:14:16Z
dc.date.available2025-03-03T06:14:16Z
dc.date.issued2024
dc.identifier.urihttps://hdl.handle.net/20.500.14178/2978
dc.description.abstractFor an incompressible Newtonian fluid flowing around an obstacle we are interested in the pointwise traction acting on it. To determine the local deformation of a solid obstacle, an accurate traction calculation is required. Besides the classical approach that concerns a direct calculation of the traction from the Cauchy stress tensor, we investigate the Poincaré-Steklov method based on calculating a dual problem and it seems to provide more accurate results. Indeed, we show a better convergence rate of the latter method with respect to the direct approach. The method is applied to the Turek benchmark, which considers a flow past a rigid cylinder. We also consider a rigid square prism as an obstacle. In this benchmark the total drag and lift acting on the cylinder is computed. We extended the benchmark and computed the point-wise traction for different mesh resolutions and Reynolds numbers.en
dc.language.isoen
dc.rightsTento výsledek je zpřístupněn v režimu gratis open access, tj. pouze pro čtení. V souladu s § 30 zákona č. 121/2000 Sb., autorského zákona, lze plný text z repozitáře také stáhnout, případně vytisknout, ale pouze pro osobní potřebu.cs
dc.rightsThe fulltext is published in the repository as read-only, i.e. in gratis open access mode. Repository visitors are entitled to download and print the fulltext published without a licence for their personal use only (in accordance with § 30 of Act No. 121/2000 Coll., the Copyright Act).en
dc.titleComparison of different approaches to calculating pointwise traction in flowen
dcterms.accessRightsopenAccess
dc.date.updated2025-03-03T06:14:16Z
dc.subject.keywordpointwise tractionen
dc.subject.keywordPoincare-Steklov operatoren
dc.subject.keywordNavier-Stokesen
dc.subject.keywordFEMen
dc.subject.keywordFiredrakeen
dc.relation.fundingReferenceinfo:eu-repo/grantAgreement/UK/UNCE/SCI/UNCE/SCI/023
dc.date.embargoStartDate2025-03-03
dc.contributor.organizerIT4Innovations National Supercomputing Center
dc.type.obd81
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dc.identifier.obd653166
dc.subject.rivPrimary10000::10100::10102
uk.faculty.primaryId116
uk.faculty.primaryNameMatematicko-fyzikální fakultacs
uk.faculty.primaryNameFaculty of Mathematics and Physicsen
uk.department.primaryId1315
uk.department.primaryNameMatematický ústav UKcs
uk.department.primaryNameMathematical Institute of Charles Universityen
uk.department.secondaryId1311
uk.department.secondaryNameKatedra matematické analýzycs
uk.department.secondaryNameDepartment of Mathematical Analysisen
uk.event.nameHPCSE 2024
dc.type.obdHierarchyCsPŘEDNÁŠKA, POSTER::přednáška nebo poster::postercs
dc.type.obdHierarchyEnLECTURE, POSTER::lecture or poster::posteren
dc.type.obdHierarchyCode81::145::340en
uk.displayTitleComparison of different approaches to calculating pointwise traction in flowen


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