Show simple item record

dc.contributor.authorQuinlan, Nathan J.
dc.contributor.authorLastiwka, Martin
dc.contributor.authorBasa, Mihai
dc.date.accessioned2013-11-21T17:17:17Z
dc.date.available2013-11-21T17:17:17Z
dc.date.issued2009
dc.identifier.citationBasa, M,Quinlan, NJ,Lastiwka, M (2009) 'Robustness and accuracy of SPH formulations for viscous flow'. International Journal For Numerical Methods In Fluids, 60 :1127-1148.en_US
dc.identifier.urihttp://hdl.handle.net/10379/3832
dc.description.abstractNumerous methods are available for the modelling of viscous stress terms in smoothed particle hydrodynamics (SPH). In this work, the existing methods are investigated systematically and evaluated for a range of Reynolds numbers using Poiseuille channel and lid-driven cavity test cases. The best results are obtained using two methods based on combinations of finite difference and SPH approximations, due to Morris et al. and Cleary. Gradients of high-valued functions are shown to be inaccurately estimated with standard SPH. A method that reduces the value of functions (in particular, pressure) before calculating the gradients reduces this inaccuracy and is shown to improve performance. A mode of instability in Poiseuille channel flows, also reported in other works, is examined and a qualitative explanation is proposed. The choice of boundary implementation is shown to have a significant effect on transient velocity profiles in start-up of the flow. The use of at least linear extrapolation for in-wall velocities is shown to be preferable to mirroring of velocities. Consistency corrections to the kernel are also found to result in significant accuracy and stability improvements with most methods, though not in all cases.en_US
dc.description.sponsorshipIrish Research Council for Science, Engineering and Technology under the Embark Initiative, funded by the National Development Plan; contract/grant number: SC/2002/189en_US
dc.formatapplication/pdfen_US
dc.language.isoenen_US
dc.relation.ispartofInternational Journal For Numerical Methods In Fluidsen
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subjectMesh-freeen_US
dc.subjectInstabilityen_US
dc.subjectTruncation erroren_US
dc.subjectBoundary conditionsen_US
dc.subjectLid-driven cavityen_US
dc.subjectSmoothed Particle Hydrodynamicsen_US
dc.subjectPoiseuille Flowen_US
dc.subjectSimulationen_US
dc.subjectHeaten_US
dc.subjectViscosityen_US
dc.subjectCodeen_US
dc.titleRobustness and accuracy of SPH formulations for viscous flowen_US
dc.typeArticleen_US
dc.date.updated2013-05-16T15:18:37Z
dc.identifier.doi10.1002/fld.1927
dc.local.publishedsourcehttp://dx.doi.org/10.1002/fld.1927en_US
dc.local.publisherstatement[The definitive version is available at www3.interscience.wiley.com]en_US
dc.description.peer-reviewedpeer-reviewed
dc.contributor.funder|~|
dc.internal.rssid1338333
dc.local.contactNathan Quinlan, Mechanical & Biomedical Eng, Eng-2042, New Engineering Building, Nui Galway. 2726 Email: nathan.quinlan@nuigalway.ie
dc.local.copyrightcheckedNo
dc.local.versionACCEPTED
nui.item.downloads1098


Files in this item

Thumbnail
Thumbnail

This item appears in the following Collection(s)

Show simple item record

Attribution-NonCommercial-NoDerivs 3.0 Ireland
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Ireland