{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/80746"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/80746","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Simulation of Rarefied Flows in MEMS Devices by Atomistic and Multiscale Methods","abstract":"To reduce to computational cost associated with such analysis, multiscale coupling of DSMC with the continuum models for fluid flow is studied. The Schwarz alternating method is utilized for coupling, and the continuum equations are solved using the finite cloud method. The agreement of the coupled method with DSMC is shown and the dependence of the convergence of the DSMC/Stokes coupling on the overlap, DSMC noise, and the number of DSMC time steps is investigated. Significant computational time savings are demonstrated with the coupled method. The coupling of DSMC with compressible Navier-Stokes equations is also developed. It is shown that by using DSMC/Navier-Stokes coupling, the computational time savings can be increased. The agreement of the results of DSMC/Navier-Stokes coupling with DSMC is shown for pressure, velocity and temperature.","abstract_html":"To reduce to computational cost associated with such analysis, multiscale coupling of DSMC with the continuum models for fluid flow is studied. The Schwarz alternating method is utilized for coupling, and the continuum equations are solved using the finite cloud method. The agreement of the coupled method with DSMC is shown and the dependence of the convergence of the DSMC/Stokes coupling on the overlap, DSMC noise, and the number of DSMC time steps is investigated. Significant computational time savings are demonstrated with the coupled method. The coupling of DSMC with compressible Navier-Stokes equations is also developed. It is shown that by using DSMC/Navier-Stokes coupling, the computational time savings can be increased. The agreement of the results of DSMC/Navier-Stokes coupling with DSMC is shown for pressure, velocity and temperature.","abstract_has_math":false,"creators":["Aktas, Ozgur"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":["Narayan Aluru","Ravaioli, Umberto"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:07:57Z","date_published":"2015-09-25T20:07:57Z","updated_at":"2026-07-22T22:26:14Z","subjects":["Engineering, Electronics and Electrical"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3030401"],"render_values":[{"text":"(MiAaPQ)AAI3030401","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/80746","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Narayan Aluru","Ravaioli, Umberto"]},{"key":"dc:creator","label":"Author","values":["Aktas, Ozgur"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:07:57Z","10000-01-01","2001"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical 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":["Engineering, Electronics and Electrical"]}]},{"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/2142/80746","(MiAaPQ)AAI3030401"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["To reduce to computational cost associated with such analysis, multiscale coupling of DSMC with the continuum models for fluid flow is studied. The Schwarz alternating method is utilized for coupling, and the continuum equations are solved using the finite cloud method. The agreement of the coupled method with DSMC is shown and the dependence of the convergence of the DSMC/Stokes coupling on the overlap, DSMC noise, and the number of DSMC time steps is investigated. Significant computational time savings are demonstrated with the coupled method. The coupling of DSMC with compressible Navier-Stokes equations is also developed. It is shown that by using DSMC/Navier-Stokes coupling, the computational time savings can be increased. The agreement of the results of DSMC/Navier-Stokes coupling with DSMC is shown for pressure, velocity and temperature.","Made available in DSpace on 2015-09-25T20:07:57Z (GMT). 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The Schwarz alternating method is utilized for coupling, and the continuum equations are solved using the finite cloud method. The agreement of the coupled method with DSMC is shown and the dependence of the convergence of the DSMC/Stokes coupling on the overlap, DSMC noise, and the number of DSMC time steps is investigated. Significant computational time savings are demonstrated with the coupled method. The coupling of DSMC with compressible Navier-Stokes equations is also developed. It is shown that by using DSMC/Navier-Stokes coupling, the computational time savings can be increased. The agreement of the results of DSMC/Navier-Stokes coupling with DSMC is shown for pressure, velocity and temperature.","Made available in DSpace on 2015-09-25T20:07:57Z (GMT). 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