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oai:www.ideals.illinois.edu:2142/92971 2023-07-11 col_2142_5131 com_2142_5130

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). No. of bitstreams: 10 NUWAL-THESIS-2016.pdf: 2879865 bytes, checksum: a442b180de301980f237b0130566ae68 (MD5) ack.tex: 1458 bytes, checksum: a32ceba02a42060ffce4d2dd1248a986 (MD5) appendix.tex: 2557 bytes, checksum: 45b243c569b2a7b36e40c9bec9923639 (MD5) conclusions.tex: 5993 bytes, checksum: ffcc82764f9af3a9255c8e467346076c (MD5) error_edited.tex: 8531 bytes, checksum: ccc847c1c955a5251f019cbfe9d1f2ca (MD5) explicit.tex: 19405 bytes, checksum: 61d7e2bdc5a66ad24d29117e88bfa1ad (MD5) formulation.tex: 39233 bytes, checksum: 15697bbdefa3f7e2afc0a7f0d8acc038 (MD5) intro.tex: 19584 bytes, checksum: e061955e9bc0ed030fa60513bfddb686 (MD5) results.tex: 14941 bytes, checksum: 9c8e46af6933f28e825a8045e014c8a2 (MD5) LICENSE.txt: 4208 bytes, checksum: bfd41d3cc70e436584c77c1fffa2cf17 (MD5) Previous issue date: 2016-07-21 Riemer, Nicole West, Matthew Sayadi, Taraneh Nuwal, Nakul 2016-11-10T18:35:31Z 2016-11-10T18:35:31Z 2018-11-11T10:15:28Z 2016-07-21 2016-08 Stochastic particle-resolved methods are a recent development in atmospheric aerosol modeling. 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. For all cases, a quantification of total error and a numerical convergence analysis is presented. Embargo set by: Seth Robbins for item 95391 Lift date: 2018-11-10T18:35:44Z Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system Embargo set by: Seth Robbins for item 95391 Lift date: 2018-11-10T18:37:47Z Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system Embargo set by: Seth Robbins for item 95391 Lift date: 2018-11-10T18:39:22Z Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system Embargo set by: Seth Robbins for item 95391 Lift date: 2018-11-10T18:43:22Z Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system U of I Only Restriction Lifted for Item 95391 on 2018-11-11T10:15:28Z. application/pdf http://hdl.handle.net/2142/92971 en Copyright 2016 Nakul Nuwal Particle-resolved methods Particle transport Stochastic methods Explicit stochastic schemes for transport in particle-resolved simulations text text Aerospace Engineering Aerospace Engineering University of Illinois at Urbana-Champaign Thesis M.S.