Isogeometric boundary element formulation for deformable particles in microchannel confinement

buir.advisorÇetin, Barbaros
dc.contributor.authorGümüş, Özgür Can
dc.date.accessioned2023-08-16T10:25:03Z
dc.date.available2023-08-16T10:25:03Z
dc.date.copyright2023-08
dc.date.issued2023-08
dc.date.submitted2023-08-15
dc.descriptionCataloged from PDF version of article.
dc.descriptionThesis (Master's): Bilkent University, Mechanical Engineering, İhsan Doğramacı Bilkent University, 2023.
dc.descriptionIncludes bibliographical references (leaves 66-73).
dc.description.abstractNumerical simulations of deformable particles are essential to understand quantities that are not possible with experimental techniques. The boundary element method is an advantageous technique to analyze deformable particles in viscous flow conditions since it reduces the dimensionality of the problem by one for linear partial differential equations. Isogeometric boundary element formulation is proposed to model the motion of deformable particles which provides unique ad-vantages in terms of the higher-order continuity of elements and exact geometry representation. Moreover, it enables the calculation of surface normal and curvature analytically. Deformable particles, more specifically droplets, may undergo high deformation which deteriorates the mesh. Moreover, numerical inaccuracies result in a nonphysical change in the volume of the particle. Hence, volume correction and mesh relaxation algorithms are implemented in the isogeometric boundary element method to alleviate the aforementioned numerical artifacts. Without loss of generality, droplets in free and bounded flow cases are formulated and several benchmark problems are solved to assess the accuracy of the proposed formulation. Isogeometric boundary element method supported by stabilization methods explained in the study allows for obtaining stable and accurate results with low-resolution simulations.
dc.description.provenanceMade available in DSpace on 2023-08-16T10:25:03Z (GMT). No. of bitstreams: 1 B162320.pdf: 6629466 bytes, checksum: 0497504067b7e2538f330531351d35c2 (MD5) Previous issue date: 2023-08en
dc.description.statementofresponsibilityby Özgür Can Gümüş
dc.format.extentxii, 73 leaves : charts ; 30 cm.
dc.identifier.itemidB162320
dc.identifier.urihttps://hdl.handle.net/11693/112660
dc.language.isoEnglish
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBoundary element method
dc.subjectIsogeometric analysis
dc.subjectDeformable particles
dc.subjectDroplet motion
dc.titleIsogeometric boundary element formulation for deformable particles in microchannel confinement
dc.title.alternativeMikrokanal içindeki esnek parçacıklar için izogeometrik sınır eleman yöntemi formülasyonu
dc.typeThesis
thesis.degree.disciplineMechanical Engineering
thesis.degree.grantorBilkent University
thesis.degree.levelMaster's
thesis.degree.nameMS (Master of Science)

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
B162320.pdf
Size:
6.32 MB
Format:
Adobe Portable Document Format

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description: