{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/92971"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/92971","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Explicit stochastic schemes for transport in particle-resolved simulations","abstract":"Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2018-08-01","abstract_html":"Submission published under a 24 month embargo labeled &#x27;U of I Access&#x27;, the embargo will last until 2018-08-01","abstract_has_math":false,"creators":["Nuwal, Nakul"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Aerospace Engineering","degree_department":null,"school":null,"contributors":["Riemer, Nicole","West, Matthew","Sayadi, Taraneh"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2016,"date_issued":"2016-11-10T18:35:31Z","date_published":"2016-11-10T18:35:31Z","updated_at":"2026-07-22T22:26:35Z","subjects":["Particle-resolved methods","Particle transport","Stochastic methods"],"languages":["en"],"rights":["Copyright 2016 Nakul Nuwal"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/92971","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Riemer, Nicole","West, Matthew","Sayadi, Taraneh"]},{"key":"dc:creator","label":"Author","values":["Nuwal, Nakul"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2016-11-10T18:35:31Z","2018-11-11T10:15:28Z","2016-07-21","2016-08"]},{"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":["Particle-resolved methods","Particle transport","Stochastic methods"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2016 Nakul Nuwal"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/92971"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2018-08-01","The student, Nakul Nuwal, accepted the attached license on 2016-07-20 at 14:01.","The student, Nakul Nuwal, submitted this Thesis for approval on 2016-07-20 at 14:18.","This Thesis was approved for publication on 2016-07-21 at 13:31.","DSpace SAF Submission Ingestion Package generated from Vireo submission #10017 on 2016-11-10 at 12:27:18","Made available in DSpace on 2016-11-10T18:35:31Z (GMT). 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These methods resolve individual aerosol particles to track the information of their composition during a numerical simulation. This enables the detailed analysis of aerosol and gas-phase chemistry, and allows for a more accurate estimate of the aerosol impact on human health and Earth's climate. Transport of all particles in a finite-volume framework can be represented as a stochastic model with each particle having a probability to commute between neighboring grid-cells. This work develops and illustrates the stochastic particle-resolved transport method, which can be used for aerosol transport in atmosphere. The development of the stochastic model was inspired by the passive scalar transport in a predefined velocity field. The model was developed by splitting the transport process into advection and diffusion, and combining them with superposition. 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These methods resolve individual aerosol particles to track the information of their composition during a numerical simulation. This enables the detailed analysis of aerosol and gas-phase chemistry, and allows for a more accurate estimate of the aerosol impact on human health and Earth's climate. Transport of all particles in a finite-volume framework can be represented as a stochastic model with each particle having a probability to commute between neighboring grid-cells. This work develops and illustrates the stochastic particle-resolved transport method, which can be used for aerosol transport in atmosphere. The development of the stochastic model was inspired by the passive scalar transport in a predefined velocity field. The model was developed by splitting the transport process into advection and diffusion, and combining them with superposition. Single time-step explicit advection schemes and a Range-kutta numerical scheme were compared to the deterministic advection equation solutions and analytical solutions. The analysis also includes the stochastic modeling of the diffusion process and its results compared to analytical solution. 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