{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/104992"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/104992","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Variational multi-scale modeling for particle-laden gravity currents over flat and triangular wavy terrains","abstract":"We deploy the residual-based variational multi-scale (RBVMS) method for simulating dilute particle-laden currents at large Reynolds number Re = 10000. The physical model is based on the coupling balance of fluid momentum and convection and diffusion. We derive the RBVMS formulation for the weak form of governing equations, design the fine scale parameters and make coupling between fluid momentum equations and density concentration equation. The proposed formulation is utilized to simulate the lock-exchange particle-laden gravity currents. In this paper, two sets of simulations based on the finite element method are conducted on the Stampede2, TACC to validate the models. Firstly, we design a simple physical case that gravity currents over flat terrains in lock-exchange box. Two mesh with the different resolutions are constructed to observe convergence properties of the mesh resolution based on the RBVMS method. Flow statistics are compared against direct numerical simulations (DNS) results and experimental results in the literature and it shows that our computational models is able to simulate quite accurate results with even much lower mesh resolution. Then, the particle-laden gravity currents over triangular wavy terrains with changing wave height are further investigated. The effect of the wave height on the flow statistics is discussed. From the good match between our simulation statistics and DNS or experimental data, it demonstrates that the model we build with RBVMS is able to capture physics of the particle-laden currents. The lower resolution mesh produces quite accurate results. The finite element formulation is stabilized by the RBVMS method in an unstructured mesh.","abstract_html":"We deploy the residual-based variational multi-scale (RBVMS) method for simulating dilute particle-laden currents at large Reynolds number Re = 10000. The physical model is based on the coupling balance of fluid momentum and convection and diffusion. We derive the RBVMS formulation for the weak form of governing equations, design the fine scale parameters and make coupling between fluid momentum equations and density concentration equation. The proposed formulation is utilized to simulate the lock-exchange particle-laden gravity currents. In this paper, two sets of simulations based on the finite element method are conducted on the Stampede2, TACC to validate the models. Firstly, we design a simple physical case that gravity currents over flat terrains in lock-exchange box. Two mesh with the different resolutions are constructed to observe convergence properties of the mesh resolution based on the RBVMS method. Flow statistics are compared against direct numerical simulations (DNS) results and experimental results in the literature and it shows that our computational models is able to simulate quite accurate results with even much lower mesh resolution. Then, the particle-laden gravity currents over triangular wavy terrains with changing wave height are further investigated. The effect of the wave height on the flow statistics is discussed. From the good match between our simulation statistics and DNS or experimental data, it demonstrates that the model we build with RBVMS is able to capture physics of the particle-laden currents. The lower resolution mesh produces quite accurate results. The finite element formulation is stabilized by the RBVMS method in an unstructured mesh.","abstract_has_math":false,"creators":["Liu, Ning"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Civil Engineering","degree_department":null,"school":null,"contributors":["Yan, Jinhui"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2019,"date_issued":"2019-05","date_published":"2019-05","updated_at":"2026-07-22T22:24:44Z","subjects":["Particle-laden flows, RBVMS, Lock-exchange gravity currents"],"languages":["en"],"rights":["Copyright 2019 Ning Liu"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/104992","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Yan, Jinhui"]},{"key":"dc:creator","label":"Author","values":["Liu, Ning"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2019-05","2019-08-23T20:35:46Z","2021-08-24T09:15:10Z","2019-04-26"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Civil 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-laden flows, RBVMS, Lock-exchange gravity currents"]}]},{"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 Ning Liu"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/104992"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["We deploy the residual-based variational multi-scale (RBVMS) method for simulating dilute particle-laden currents at large Reynolds number Re = 10000. The physical model is based on the coupling balance of fluid momentum and convection and diffusion. We derive the RBVMS formulation for the weak form of governing equations, design the fine scale parameters and make coupling between fluid momentum equations and density concentration equation. The proposed formulation is utilized to simulate the lock-exchange particle-laden gravity currents. In this paper, two sets of simulations based on the finite element method are conducted on the Stampede2, TACC to validate the models. Firstly, we design a simple physical case that gravity currents over flat terrains in lock-exchange box. Two mesh with the different resolutions are constructed to observe convergence properties of the mesh resolution based on the RBVMS method. Flow statistics are compared against direct numerical simulations (DNS) results and experimental results in the literature and it shows that our computational models is able to simulate quite accurate results with even much lower mesh resolution. Then, the particle-laden gravity currents over triangular wavy terrains with changing wave height are further investigated. The effect of the wave height on the flow statistics is discussed. From the good match between our simulation statistics and DNS or experimental data, it demonstrates that the model we build with RBVMS is able to capture physics of the particle-laden currents. The lower resolution mesh produces quite accurate results. The finite element formulation is stabilized by the RBVMS method in an unstructured mesh.","Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2021-05-01","The student, Ning Liu, accepted the attached license on 2019-04-26 at 13:16.","The student, Ning Liu, submitted this Thesis for approval on 2019-04-26 at 13:31.","This Thesis was approved for publication on 2019-04-26 at 13:47.","DSpace SAF Submission Ingestion Package generated from Vireo submission #13507 on 2019-08-22 at 15:05:25","Made available in DSpace on 2019-08-23T20:35:46Z (GMT). No. of bitstreams: 6 LIU-THESIS-2019.pdf: 11793888 bytes, checksum: 9ba999932d478d2b66d6066fe5d5f2dd (MD5) aaa.mov: 18891829 bytes, checksum: 3f9765b8b1160c937ba74e4a6104c304 (MD5) bbb.mov: 4896892 bytes, checksum: 3d7131d3442a10a67d2c55cab6bf8db1 (MD5) ccc.mov: 5901234 bytes, checksum: c5d96442eb6ddba386f67712c305ecae (MD5) uiucthesis2014-master.zip: 25317472 bytes, checksum: 6a514d76ed615bd3d924c46a50803c09 (MD5) LICENSE.txt: 4205 bytes, checksum: c9a15425ff1019fc04354c8158293a33 (MD5) Previous issue date: 2019-04-26","Embargo set by: Seth Robbins for item 112111 Lift date: 2021-08-23T20:36:18Z Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system","U of I Only Restriction Lifted for Item 112111 on 2021-08-24T09:15:10Z."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Variational multi-scale modeling for particle-laden gravity currents over flat and triangular wavy terrains"]}]}],"canonical_facts":{"dc:contributor":["Yan, Jinhui"],"dc:creator":["Liu, Ning"],"dc:date":["2019-05","2019-08-23T20:35:46Z","2021-08-24T09:15:10Z","2019-04-26"],"dc:description":["We deploy the residual-based variational multi-scale (RBVMS) method for simulating dilute particle-laden currents at large Reynolds number Re = 10000. The physical model is based on the coupling balance of fluid momentum and convection and diffusion. We derive the RBVMS formulation for the weak form of governing equations, design the fine scale parameters and make coupling between fluid momentum equations and density concentration equation. The proposed formulation is utilized to simulate the lock-exchange particle-laden gravity currents. In this paper, two sets of simulations based on the finite element method are conducted on the Stampede2, TACC to validate the models. Firstly, we design a simple physical case that gravity currents over flat terrains in lock-exchange box. Two mesh with the different resolutions are constructed to observe convergence properties of the mesh resolution based on the RBVMS method. Flow statistics are compared against direct numerical simulations (DNS) results and experimental results in the literature and it shows that our computational models is able to simulate quite accurate results with even much lower mesh resolution. Then, the particle-laden gravity currents over triangular wavy terrains with changing wave height are further investigated. The effect of the wave height on the flow statistics is discussed. From the good match between our simulation statistics and DNS or experimental data, it demonstrates that the model we build with RBVMS is able to capture physics of the particle-laden currents. The lower resolution mesh produces quite accurate results. The finite element formulation is stabilized by the RBVMS method in an unstructured mesh.","Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2021-05-01","The student, Ning Liu, accepted the attached license on 2019-04-26 at 13:16.","The student, Ning Liu, submitted this Thesis for approval on 2019-04-26 at 13:31.","This Thesis was approved for publication on 2019-04-26 at 13:47.","DSpace SAF Submission Ingestion Package generated from Vireo submission #13507 on 2019-08-22 at 15:05:25","Made available in DSpace on 2019-08-23T20:35:46Z (GMT). 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