{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/106286"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/106286","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"First steps in development of a translational non equilibrium model using maximum entropy principle","abstract":"This thesis elaborates the steps taken in the development of a model for flows that are in translational non-equilibrium. The backbone of the model relies on Boltzmann equation for gases as a starting point. Three mathematical tools - domain decomposition, moment methods similar to method of weighted residuals and maximum entropy principle are used for defining the model and developing the underlying governing equations. The underlying modeling goal was to serve as a bridge in terms of computational cost and accuracy, between high fidelity Boltzmann equations and empirically driven Navier Stokes equations. The model effectiveness is studied by solving numerically discretized model equations for one dimensional setting . The problem studied is that of a normal shock occurring in a monoatomic gas. The various assumptions, validation tools used and problems associated with model development are elaborated.","abstract_html":"This thesis elaborates the steps taken in the development of a model for flows that are in translational non-equilibrium. The backbone of the model relies on Boltzmann equation for gases as a starting point. Three mathematical tools - domain decomposition, moment methods similar to method of weighted residuals and maximum entropy principle are used for defining the model and developing the underlying governing equations. The underlying modeling goal was to serve as a bridge in terms of computational cost and accuracy, between high fidelity Boltzmann equations and empirically driven Navier Stokes equations. The model effectiveness is studied by solving numerically discretized model equations for one dimensional setting . The problem studied is that of a normal shock occurring in a monoatomic gas. The various assumptions, validation tools used and problems associated with model development are elaborated.","abstract_has_math":false,"creators":["Jayaraman, Vegnesh"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Aerospace Engineering","degree_department":null,"school":null,"contributors":["Panesi, Marco"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2020,"date_issued":"2020-03-02T22:03:26Z","date_published":"2020-03-02T22:03:26Z","updated_at":"2026-07-22T22:24:45Z","subjects":["Hypersonic, Boltzmann, Translation, BGK, non equilibrium, maximum entropy"],"languages":["en"],"rights":["Copyright 2019 Vegnesh Jayaraman"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/106286","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Panesi, Marco"]},{"key":"dc:creator","label":"Author","values":["Jayaraman, Vegnesh"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2020-03-02T22:03:26Z","2019-12-11","2019-12"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"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":["Hypersonic, Boltzmann, Translation, BGK, non equilibrium, maximum entropy"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2019 Vegnesh Jayaraman"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/106286"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["This thesis elaborates the steps taken in the development of a model for flows that are in translational non-equilibrium. The backbone of the model relies on Boltzmann equation for gases as a starting point. Three mathematical tools - domain decomposition, moment methods similar to method of weighted residuals and maximum entropy principle are used for defining the model and developing the underlying governing equations. The underlying modeling goal was to serve as a bridge in terms of computational cost and accuracy, between high fidelity Boltzmann equations and empirically driven Navier Stokes equations. The model effectiveness is studied by solving numerically discretized model equations for one dimensional setting . The problem studied is that of a normal shock occurring in a monoatomic gas. The various assumptions, validation tools used and problems associated with model development are elaborated.","Submission original under an indefinite embargo labeled 'Open Access'. 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Three mathematical tools - domain decomposition, moment methods similar to method of weighted residuals and maximum entropy principle are used for defining the model and developing the underlying governing equations. The underlying modeling goal was to serve as a bridge in terms of computational cost and accuracy, between high fidelity Boltzmann equations and empirically driven Navier Stokes equations. The model effectiveness is studied by solving numerically discretized model equations for one dimensional setting . The problem studied is that of a normal shock occurring in a monoatomic gas. The various assumptions, validation tools used and problems associated with model development are elaborated.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2020-02-28 without embargo terms","The student, Vegnesh Jayaraman, accepted the attached license on 2019-12-11 at 16:07.","The student, Vegnesh Jayaraman, submitted this Thesis for approval on 2019-12-11 at 16:21.","This Thesis was approved for publication on 2019-12-11 at 16:44.","DSpace SAF Submission Ingestion Package generated from Vireo submission #14800 on 2020-02-28 at 17:16:48","Made available in DSpace on 2020-03-02T22:03:26Z (GMT). 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