{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/110753"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/110753","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"A time-explicit immersed boundary projection method for thin elastic surfaces and stationary bodies","abstract":"DSpace SAF Submission Ingestion Package generated from Vireo submission #16604 on 2021-09-16 at 17:06:38","abstract_html":"DSpace SAF Submission Ingestion Package generated from Vireo submission #16604 on 2021-09-16 at 17:06:38","abstract_has_math":false,"creators":["Osman, Noah"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Aerospace Engineering","degree_department":null,"school":null,"contributors":["Goza, Andres"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2021,"date_issued":"2021-09-17T02:34:50Z","date_published":"2021-09-17T02:34:50Z","updated_at":"2026-07-22T22:24:52Z","subjects":["immersed boundary","fluid-structure interaction","strongly coupled","non-stationary bodies","super-time stepping method","Runge–Kutta–Chebyshev method"],"languages":["en"],"rights":["Copyright 2021 Noah Osman"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/110753","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Goza, Andres"]},{"key":"dc:creator","label":"Author","values":["Osman, Noah"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2021-09-17T02:34:50Z","2023-09-17T02:34:57Z","2021-04-30","2021-05"]},{"key":"dc:type","label":"Dc Type","values":["text","Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Aerospace Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["immersed boundary","fluid-structure interaction","strongly coupled","non-stationary bodies","super-time stepping method","Runge–Kutta–Chebyshev method"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2021 Noah Osman"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/110753"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["DSpace SAF Submission Ingestion Package generated from Vireo submission #16604 on 2021-09-16 at 17:06:38","We present an immersed-boundary method for flows around either an arbitrary body undergoing prescribed kinematics, or a thin elastic body whose motion is fully coupled to the flow dynamics (i.e., involving fully coupled fluid-structure interaction, FSI). The key novelty here is that the proposed method uses an explicit time integration approach (via a Runge-Kutta-Chebyshev framework) for the stiff diffusive term while retaining a formal projection formulation to ensure that the no-slip boundary condition is exactly satisfied to within machine precision at each time instance. The explicit treatment of the diffusive term avoids the embedded large linear solves that plague the majority of fractional step formulations for incompressible flows, while the projection formulation avoids the use of heuristic parameters to satisfy the constraint at the immersed interface. Moreover, in the FSI setting the projection formulation results in a strongly coupled algorithm that can accurately simulate FSI dynamics involving arbitrarily large structural motions. The governing flow equations are spatially discretized using a nullspace approach that automatically enforces the incompressibility constraint, and when the immersed body is deformable the structural dynamics are spatially discretized using a finite element method. The structural model allows for geometric nonlinearity via a co-rotational formulation. We analytically demonstrate that the proposed time advancement scheme is temporally second order accurate for the primary state variables (e.g., vorticity) and first-order accurate for the surface stress. The method is verified using a suite of two-dimensional test problems: flow past both a rigid stationary cylinder at Re = 200 and past a deformable flag for various dimensionless parameters. In all cases the results are shown to be in good agreement with the literature.","Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2023-05-01","The student, Noah Osman, accepted the attached license on 2021-04-28 at 12:30.","The student, Noah Osman, submitted this Thesis for approval on 2021-04-28 at 13:37.","This Thesis was approved for publication on 2021-04-30 at 08:47.","Made available in DSpace on 2021-09-17T02:34:50Z (GMT). No. of bitstreams: 2 OSMAN-THESIS-2021.pdf: 2837528 bytes, checksum: 47975ea5b2cad224762c80b4edaf0fbc (MD5) LICENSE.txt: 4207 bytes, checksum: c4189fcc23b79af10fdb25af85177396 (MD5) Previous issue date: 2021-04-30","Embargo set by: Seth Robbins for item 118596 Lift date: 2023-09-17T02:34:57Z Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system","Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system","U of I Only"]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["A time-explicit immersed boundary projection method for thin elastic surfaces and stationary bodies"]}]}],"canonical_facts":{"dc:contributor":["Goza, Andres"],"dc:creator":["Osman, Noah"],"dc:date":["2021-09-17T02:34:50Z","2023-09-17T02:34:57Z","2021-04-30","2021-05"],"dc:description":["DSpace SAF Submission Ingestion Package generated from Vireo submission #16604 on 2021-09-16 at 17:06:38","We present an immersed-boundary method for flows around either an arbitrary body undergoing prescribed kinematics, or a thin elastic body whose motion is fully coupled to the flow dynamics (i.e., involving fully coupled fluid-structure interaction, FSI). The key novelty here is that the proposed method uses an explicit time integration approach (via a Runge-Kutta-Chebyshev framework) for the stiff diffusive term while retaining a formal projection formulation to ensure that the no-slip boundary condition is exactly satisfied to within machine precision at each time instance. The explicit treatment of the diffusive term avoids the embedded large linear solves that plague the majority of fractional step formulations for incompressible flows, while the projection formulation avoids the use of heuristic parameters to satisfy the constraint at the immersed interface. Moreover, in the FSI setting the projection formulation results in a strongly coupled algorithm that can accurately simulate FSI dynamics involving arbitrarily large structural motions. The governing flow equations are spatially discretized using a nullspace approach that automatically enforces the incompressibility constraint, and when the immersed body is deformable the structural dynamics are spatially discretized using a finite element method. The structural model allows for geometric nonlinearity via a co-rotational formulation. We analytically demonstrate that the proposed time advancement scheme is temporally second order accurate for the primary state variables (e.g., vorticity) and first-order accurate for the surface stress. The method is verified using a suite of two-dimensional test problems: flow past both a rigid stationary cylinder at Re = 200 and past a deformable flag for various dimensionless parameters. In all cases the results are shown to be in good agreement with the literature.","Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2023-05-01","The student, Noah Osman, accepted the attached license on 2021-04-28 at 12:30.","The student, Noah Osman, submitted this Thesis for approval on 2021-04-28 at 13:37.","This Thesis was approved for publication on 2021-04-30 at 08:47.","Made available in DSpace on 2021-09-17T02:34:50Z (GMT). No. of bitstreams: 2 OSMAN-THESIS-2021.pdf: 2837528 bytes, checksum: 47975ea5b2cad224762c80b4edaf0fbc (MD5) LICENSE.txt: 4207 bytes, checksum: c4189fcc23b79af10fdb25af85177396 (MD5) Previous issue date: 2021-04-30","Embargo set by: Seth Robbins for item 118596 Lift date: 2023-09-17T02:34:57Z Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system","Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system","U of I Only"],"dc:format":["application/pdf"],"dc:identifier":["http://hdl.handle.net/2142/110753"],"dc:language":["en"],"dc:rights":["Copyright 2021 Noah Osman"],"dc:subject":["immersed boundary","fluid-structure interaction","strongly coupled","non-stationary bodies","super-time stepping method","Runge–Kutta–Chebyshev method"],"dc:title":["A time-explicit immersed boundary projection method for thin elastic surfaces and stationary bodies"],"dc:type":["text","Thesis"],"thesis:degree_discipline":["Aerospace Engineering"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["M.S."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:24:52Z"}