{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/84013"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/84013","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Use of Improved Far -Field Boundary Conditions to Compute External Flows on Reduced Domains","abstract":"We have also used this computational approach to study, for the first time, flow past a convex axisymmetric body formed by a finite paraboloid with a paraboloidal surface closing the aperture. Converged flows were computed for three different aspect ratios up to a Reynolds number (Re) of 200. For sufficiently small Re, there is no separation. For an intermediate range of Re, the separation point moves from the rear stagnation point towards the edge of the body as Re increases. Beyond some Re, the computed separation circle lies between the edge and nearest grid point, for all grid spacings considered. The length of the separated flow region varies approximately with a fractional power of the logarithm of the Reynolds number. The computational advantages of the present approach are demonstrated by comparing memory usage and runtime for solutions of comparable accuracy. When the system of nonlinear algebraic equations is solved by Newton iteration, memory usage and runtime are reduced by about 70% compared to computations using Neumann and free-stream Dirichlet boundary conditions.","abstract_html":"We have also used this computational approach to study, for the first time, flow past a convex axisymmetric body formed by a finite paraboloid with a paraboloidal surface closing the aperture. Converged flows were computed for three different aspect ratios up to a Reynolds number (Re) of 200. For sufficiently small Re, there is no separation. For an intermediate range of Re, the separation point moves from the rear stagnation point towards the edge of the body as Re increases. Beyond some Re, the computed separation circle lies between the edge and nearest grid point, for all grid spacings considered. The length of the separated flow region varies approximately with a fractional power of the logarithm of the Reynolds number. The computational advantages of the present approach are demonstrated by comparing memory usage and runtime for solutions of comparable accuracy. When the system of nonlinear algebraic equations is solved by Newton iteration, memory usage and runtime are reduced by about 70% compared to computations using Neumann and free-stream Dirichlet boundary conditions.","abstract_has_math":false,"creators":["Mantle, William Joseph"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mechanical Engineering","degree_department":null,"school":null,"contributors":["Pearlstein, Arne J."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T21:13:09Z","date_published":"2015-09-25T21:13:09Z","updated_at":"2026-07-22T22:26:22Z","subjects":["Applied Mechanics"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI9990212"],"render_values":[{"text":"(MiAaPQ)AAI9990212","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/84013","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Pearlstein, Arne J."]},{"key":"dc:creator","label":"Author","values":["Mantle, William Joseph"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T21:13:09Z","10000-01-01","2000"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mechanical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"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":["Applied Mechanics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/84013","(MiAaPQ)AAI9990212"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["We have also used this computational approach to study, for the first time, flow past a convex axisymmetric body formed by a finite paraboloid with a paraboloidal surface closing the aperture. Converged flows were computed for three different aspect ratios up to a Reynolds number (Re) of 200. For sufficiently small Re, there is no separation. For an intermediate range of Re, the separation point moves from the rear stagnation point towards the edge of the body as Re increases. Beyond some Re, the computed separation circle lies between the edge and nearest grid point, for all grid spacings considered. The length of the separated flow region varies approximately with a fractional power of the logarithm of the Reynolds number. The computational advantages of the present approach are demonstrated by comparing memory usage and runtime for solutions of comparable accuracy. When the system of nonlinear algebraic equations is solved by Newton iteration, memory usage and runtime are reduced by about 70% compared to computations using Neumann and free-stream Dirichlet boundary conditions.","Made available in DSpace on 2015-09-25T21:13:09Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9990212.pdf: 1523510 bytes, checksum: 559a25e0fbd39cc8d79b22484dfbf303 (MD5) Previous issue date: 2000","Embargo set by: Seth Robbins for item 85294 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","125 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000."]},{"key":"dc:title","label":"Title","values":["Use of Improved Far -Field Boundary Conditions to Compute External Flows on Reduced Domains"]}]}],"canonical_facts":{"dc:contributor":["Pearlstein, Arne J."],"dc:creator":["Mantle, William Joseph"],"dc:date":["2015-09-25T21:13:09Z","10000-01-01","2000"],"dc:description":["We have also used this computational approach to study, for the first time, flow past a convex axisymmetric body formed by a finite paraboloid with a paraboloidal surface closing the aperture. Converged flows were computed for three different aspect ratios up to a Reynolds number (Re) of 200. For sufficiently small Re, there is no separation. For an intermediate range of Re, the separation point moves from the rear stagnation point towards the edge of the body as Re increases. Beyond some Re, the computed separation circle lies between the edge and nearest grid point, for all grid spacings considered. The length of the separated flow region varies approximately with a fractional power of the logarithm of the Reynolds number. The computational advantages of the present approach are demonstrated by comparing memory usage and runtime for solutions of comparable accuracy. When the system of nonlinear algebraic equations is solved by Newton iteration, memory usage and runtime are reduced by about 70% compared to computations using Neumann and free-stream Dirichlet boundary conditions.","Made available in DSpace on 2015-09-25T21:13:09Z (GMT). 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