{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/92706"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/92706","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Meandering river dynamics","abstract":"Meandering channels are dynamic landforms that arise as a result of fluid mechanic and sedimentary processes. Their evolution has been described by the meander morphodynamic equations, which dictate that channel curvature and bed topology give rise to local perturbations in streamwise fluid velocity, prompting the preferential erosion and sediment deposition that constitute meander behavior. Previous theoretical work has been based on simplified periodic systems. Here we determine the mathematical conditions required for unique solutions to the meander morphodynamics equations. Our predictions for non-periodic finite-domains constitute the first correct explanation of behavior observed in flumes, where a fixed inlet leads to the long-term decay of all meanders. We show that a continuous perturbation is required for sustained meandering. With a driven perturbation at the inlet, we find that high (low) frequency driving results in spatial decay (growth). We present original scaling arguments for the dependence of the meander migration rate on geological parameters, showing that the rate of migration increases with increased width, down-reach slope, and bank erodibility, and decreases with increased volumetric flow rate. The meander equations involve a single dimensionless parameter alpha, which characterizes the ratio of secondary to irrotational flow. We show that variations in alpha have significant impact on spatial and temporal scaling, and on the degree of upstream skewing in meander shapes. For numerical simulations, we develop a rigorous mathematical description of the relationship between spatial discretization schemes and numerical stability, and we present a robust, stable numerical algorithm. We introduce a parametric Lagrangian variable for improved stability and adaptive spatial resolution. Our implicit numerical solver facilitates a time-step size which is limited by accuracy instead of stability, leading to a significant improvement in computational speed. We present the first demonstrably accurate, converged solutions for the meander morphodynamics equations. Our nonlinear work has focused on the evolution of initially quiescent systems with boundary driving. We find that finite-domain theory accurately describes behavior close to the upstream boundary, whereas standard period-domain behavior dominates downstream. In the instance of clamped upstream boundaries, nonlinear simulation leads to a significantly longer progression of the initial disturbance relative to linear theory before subsiding into a straight channel. We find that upstream perturbations will cause the excitation of temporally growing waves downstream. Finally, we provide rigorous scaling analysis to determine the appropriate length of experimental flumes, the appropriate duration of experimental runs, and the necessary properties of sediment. We present simulations of previous experimental work and find good heuristic agreement, and we provide recommendations for experimental conditions for the observation of sustained meandering in laboratory flumes.","abstract_html":"Meandering channels are dynamic landforms that arise as a result of fluid mechanic and sedimentary processes. Their evolution has been described by the meander morphodynamic equations, which dictate that channel curvature and bed topology give rise to local perturbations in streamwise fluid velocity, prompting the preferential erosion and sediment deposition that constitute meander behavior. Previous theoretical work has been based on simplified periodic systems. Here we determine the mathematical conditions required for unique solutions to the meander morphodynamics equations. Our predictions for non-periodic finite-domains constitute the first correct explanation of behavior observed in flumes, where a fixed inlet leads to the long-term decay of all meanders. We show that a continuous perturbation is required for sustained meandering. With a driven perturbation at the inlet, we find that high (low) frequency driving results in spatial decay (growth). We present original scaling arguments for the dependence of the meander migration rate on geological parameters, showing that the rate of migration increases with increased width, down-reach slope, and bank erodibility, and decreases with increased volumetric flow rate. The meander equations involve a single dimensionless parameter alpha, which characterizes the ratio of secondary to irrotational flow. We show that variations in alpha have significant impact on spatial and temporal scaling, and on the degree of upstream skewing in meander shapes. For numerical simulations, we develop a rigorous mathematical description of the relationship between spatial discretization schemes and numerical stability, and we present a robust, stable numerical algorithm. We introduce a parametric Lagrangian variable for improved stability and adaptive spatial resolution. Our implicit numerical solver facilitates a time-step size which is limited by accuracy instead of stability, leading to a significant improvement in computational speed. We present the first demonstrably accurate, converged solutions for the meander morphodynamics equations. Our nonlinear work has focused on the evolution of initially quiescent systems with boundary driving. We find that finite-domain theory accurately describes behavior close to the upstream boundary, whereas standard period-domain behavior dominates downstream. In the instance of clamped upstream boundaries, nonlinear simulation leads to a significantly longer progression of the initial disturbance relative to linear theory before subsiding into a straight channel. We find that upstream perturbations will cause the excitation of temporally growing waves downstream. Finally, we provide rigorous scaling analysis to determine the appropriate length of experimental flumes, the appropriate duration of experimental runs, and the necessary properties of sediment. We present simulations of previous experimental work and find good heuristic agreement, and we provide recommendations for experimental conditions for the observation of sustained meandering in laboratory flumes.","abstract_has_math":false,"creators":["Weiss, Samantha Freeman"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Chemical Engineering","degree_department":null,"school":null,"contributors":["Higdon, Jonathan J. L.","Parker, Gary","Rao, Christopher","Schroeder, Charles"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2016,"date_issued":"2016-11-10T17:49:41Z","date_published":"2016-11-10T17:49:41Z","updated_at":"2026-07-22T22:26:35Z","subjects":["Meandering","morphodynamics","channel","meander","uniqueness","flume","upstream","perturbation","geological scaling","skewing","hyberbolic differential equations","nonlinear partial differential equations","spatial discretization","numerical stability","parametric Lagrangian variable","adaptive spatial resolution","convergence","boundary driving","scaling analysis"],"languages":["en"],"rights":["Copyright 2016 Samantha Weiss"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/92706","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Higdon, Jonathan J. L.","Parker, Gary","Rao, Christopher","Schroeder, Charles"]},{"key":"dc:creator","label":"Author","values":["Weiss, Samantha Freeman"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2016-11-10T17:49:41Z","2016-06-02","2016-08"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Chemical 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":["Meandering","morphodynamics","channel","meander","uniqueness","flume","upstream","perturbation","geological scaling","skewing","hyberbolic differential equations","nonlinear partial differential equations","spatial discretization","numerical stability","parametric Lagrangian variable","adaptive spatial resolution","convergence","boundary driving","scaling analysis"]}]},{"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 Samantha Weiss"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/92706"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Meandering channels are dynamic landforms that arise as a result of fluid mechanic and sedimentary processes. Their evolution has been described by the meander morphodynamic equations, which dictate that channel curvature and bed topology give rise to local perturbations in streamwise fluid velocity, prompting the preferential erosion and sediment deposition that constitute meander behavior. Previous theoretical work has been based on simplified periodic systems. Here we determine the mathematical conditions required for unique solutions to the meander morphodynamics equations. Our predictions for non-periodic finite-domains constitute the first correct explanation of behavior observed in flumes, where a fixed inlet leads to the long-term decay of all meanders. We show that a continuous perturbation is required for sustained meandering. With a driven perturbation at the inlet, we find that high (low) frequency driving results in spatial decay (growth). We present original scaling arguments for the dependence of the meander migration rate on geological parameters, showing that the rate of migration increases with increased width, down-reach slope, and bank erodibility, and decreases with increased volumetric flow rate. The meander equations involve a single dimensionless parameter alpha, which characterizes the ratio of secondary to irrotational flow. We show that variations in alpha have significant impact on spatial and temporal scaling, and on the degree of upstream skewing in meander shapes. For numerical simulations, we develop a rigorous mathematical description of the relationship between spatial discretization schemes and numerical stability, and we present a robust, stable numerical algorithm. We introduce a parametric Lagrangian variable for improved stability and adaptive spatial resolution. Our implicit numerical solver facilitates a time-step size which is limited by accuracy instead of stability, leading to a significant improvement in computational speed. We present the first demonstrably accurate, converged solutions for the meander morphodynamics equations. Our nonlinear work has focused on the evolution of initially quiescent systems with boundary driving. We find that finite-domain theory accurately describes behavior close to the upstream boundary, whereas standard period-domain behavior dominates downstream. In the instance of clamped upstream boundaries, nonlinear simulation leads to a significantly longer progression of the initial disturbance relative to linear theory before subsiding into a straight channel. We find that upstream perturbations will cause the excitation of temporally growing waves downstream. Finally, we provide rigorous scaling analysis to determine the appropriate length of experimental flumes, the appropriate duration of experimental runs, and the necessary properties of sediment. We present simulations of previous experimental work and find good heuristic agreement, and we provide recommendations for experimental conditions for the observation of sustained meandering in laboratory flumes.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2016-11-09 without embargo terms","The student, Samantha Weiss, accepted the attached license on 2016-05-30 at 09:06.","The student, Samantha Weiss, submitted this Dissertation for approval on 2016-05-30 at 09:57.","This Dissertation was approved for publication on 2016-06-02 at 15:24.","DSpace SAF Submission Ingestion Package generated from Vireo submission #9628 on 2016-11-09 at 10:19:37","Made available in DSpace on 2016-11-10T17:49:41Z (GMT). No. of bitstreams: 38 WEISS-DISSERTATION-2016.pdf: 18683951 bytes, checksum: 2a4debea93a8bee5a84a9dca05a46e2f (MD5) clamped_run_alpha10.0_omega38.8668.mp4: 20459918 bytes, checksum: 439900a242ae5c6862e7b97e07d8cb90 (MD5) clamped_run_alpha5.0_omega11.1803.mp4: 18128360 bytes, checksum: 0e59e94ac5100a05e6802516e2cf227a (MD5) run_alpha0.1_omega0.0009.mp4: 16469982 bytes, checksum: 51c033e88c42a212fcab94327194a1b7 (MD5) run_alpha0.1_omega0.0163.mp4: 21884019 bytes, checksum: 649f41923aa50a520a8b5c95cc9484a8 (MD5) run_alpha0.1_omega0.0316.mp4: 19250813 bytes, checksum: 6b6db087fd4a90c77a20b83b0179f871 (MD5) run_alpha0.1_omega0.0419.mp4: 16917971 bytes, checksum: 5a0c53335c3eec2bd0be8d9bc472163d (MD5) run_alpha1.0_omega0.0724.mp4: 8463371 bytes, checksum: 05dfbbb3f08c416b7a13f7a6c03ac040 (MD5) run_alpha1.0_omega0.1447.mp4: 4670634 bytes, checksum: 7d44dd06efb403a8057b72d014f6fd16 (MD5) run_alpha1.0_omega0.5724.mp4: 26937341 bytes, checksum: dd42e268ba0d0d919b79b0b38df1807d (MD5) run_alpha1.0_omega1.0000.mp4: 6035451 bytes, checksum: be2ccd497ce29dcae20237e066cf22e8 (MD5) run_alpha1.0_omega1.2851.mp4: 29161304 bytes, checksum: d42f10af94198914c97deb4c8448dc31 (MD5) run_alpha10.0_omega20.7568.mp4: 9581748 bytes, checksum: 26307801ae6c1be0968dc1468889dec7 (MD5) run_alpha10.0_omega31.6228.mp4: 22442630 bytes, checksum: 2ff2efc1502c1dd0e6d6c974f6770569 (MD5) run_alpha10.0_omega4.9454.mp4: 17284282 bytes, checksum: be6079e2f31232d310c96a11be9b69ab (MD5) run_alpha10.0_omega9.8907.mp4: 21640523 bytes, checksum: a08cf53e33c1008da4577d9871fce65e (MD5) run_alpha5.0_omega1.5500.mp4: 8393412 bytes, checksum: 0acb3ad12310f453a25befce84394494 (MD5) run_alpha5.0_omega11.1803.mp4: 25690596 bytes, checksum: 0d0f1de552e3ee8d24dd8eeb0f20caa7 (MD5) run_alpha5.0_omega13.8738.mp4: 27650518 bytes, checksum: 71f5cc23c96702725d81df2fcd6f4443 (MD5) run_alpha5.0_omega3.1001.mp4: 5748987 bytes, checksum: 8c6086ca8bea988d84ad6f337b1f8a3e (MD5) run_alpha5.0_omega7.1402.mp4: 30960147 bytes, checksum: c925d06a54007f846756db3b256b0d30 (MD5) run_alpha7.0_omega12.0119.mp4: 24146940 bytes, checksum: a45fb95c0cd083146d2062e9fff41109 (MD5) run_alpha7.0_omega18.5203.mp4: 25441761 bytes, checksum: de6ec1800f9afd734cb82a0b6add14e7 (MD5) run_alpha7.0_omega2.7517.mp4: 24951552 bytes, checksum: a4266d3ed9f25dc5c2507e7a9ec610da (MD5) run_alpha7.0_omega22.8592.mp4: 23943994 bytes, checksum: e601e58a852a3ef3638a92dd1dd43481 (MD5) run_alpha7.0_omega5.5035.mp4: 22509671 bytes, checksum: 2c32b482db5252c98847375ecaf86c15 (MD5) SourceFiles.zip: 140772933 bytes, checksum: 3c96f129f64de9772197007526ed4edb (MD5) ElsevierLicenseAgreement.pdf: 118276 bytes, checksum: 1c1ead6a9233943f6d2c03d8aa04d00f (MD5) Gmail - Hello and permission to reproduce figures in my PhD thesis.pdf: 81579 bytes, checksum: 63fd856ad6b744fd7a7ddf380b7e0c73 (MD5) Gmail - Permission to reproduce figures.pdf: 88186 bytes, checksum: 36ba268a2bd90ecd9fcdf2933c463bf3 (MD5) Gmail - Permissions, ProQuest.pdf: 134384 bytes, checksum: d42b1b071754fafeb1e1fd42ddeb7743 (MD5) Gmail - Question about Proquest.pdf: 76462 bytes, checksum: 740dca49c239a98cc4a817864909ba08 (MD5) HickinNanson.zip: 204776 bytes, checksum: f903d6f126ef846ca4699ed8ada1e439 (MD5) ImageBank.zip: 119404 bytes, checksum: 80c84c4c0538ff5a3a49f912f7a88857 (MD5) LICENSE.txt: 4211 bytes, checksum: e3f4f374e90244046a3850e5303d0a9a (MD5) PROQUEST_LICENSE.txt: 4557 bytes, checksum: 52c371721fa5a593630715b8b5619b58 (MD5) ProQuestPermission.pdf: 74298 bytes, checksum: f70ceac29b9cbd38912b13c42e5185b7 (MD5) vanDijk.zip: 547671 bytes, checksum: 8d6c83e78c79bc08162a420efa2e83f5 (MD5) Previous issue date: 2016-06-02"]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Meandering river dynamics"]}]}],"canonical_facts":{"dc:contributor":["Higdon, Jonathan J. L.","Parker, Gary","Rao, Christopher","Schroeder, Charles"],"dc:creator":["Weiss, Samantha Freeman"],"dc:date":["2016-11-10T17:49:41Z","2016-06-02","2016-08"],"dc:description":["Meandering channels are dynamic landforms that arise as a result of fluid mechanic and sedimentary processes. Their evolution has been described by the meander morphodynamic equations, which dictate that channel curvature and bed topology give rise to local perturbations in streamwise fluid velocity, prompting the preferential erosion and sediment deposition that constitute meander behavior. Previous theoretical work has been based on simplified periodic systems. Here we determine the mathematical conditions required for unique solutions to the meander morphodynamics equations. Our predictions for non-periodic finite-domains constitute the first correct explanation of behavior observed in flumes, where a fixed inlet leads to the long-term decay of all meanders. We show that a continuous perturbation is required for sustained meandering. With a driven perturbation at the inlet, we find that high (low) frequency driving results in spatial decay (growth). We present original scaling arguments for the dependence of the meander migration rate on geological parameters, showing that the rate of migration increases with increased width, down-reach slope, and bank erodibility, and decreases with increased volumetric flow rate. The meander equations involve a single dimensionless parameter alpha, which characterizes the ratio of secondary to irrotational flow. We show that variations in alpha have significant impact on spatial and temporal scaling, and on the degree of upstream skewing in meander shapes. For numerical simulations, we develop a rigorous mathematical description of the relationship between spatial discretization schemes and numerical stability, and we present a robust, stable numerical algorithm. We introduce a parametric Lagrangian variable for improved stability and adaptive spatial resolution. Our implicit numerical solver facilitates a time-step size which is limited by accuracy instead of stability, leading to a significant improvement in computational speed. We present the first demonstrably accurate, converged solutions for the meander morphodynamics equations. Our nonlinear work has focused on the evolution of initially quiescent systems with boundary driving. We find that finite-domain theory accurately describes behavior close to the upstream boundary, whereas standard period-domain behavior dominates downstream. In the instance of clamped upstream boundaries, nonlinear simulation leads to a significantly longer progression of the initial disturbance relative to linear theory before subsiding into a straight channel. We find that upstream perturbations will cause the excitation of temporally growing waves downstream. Finally, we provide rigorous scaling analysis to determine the appropriate length of experimental flumes, the appropriate duration of experimental runs, and the necessary properties of sediment. We present simulations of previous experimental work and find good heuristic agreement, and we provide recommendations for experimental conditions for the observation of sustained meandering in laboratory flumes.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2016-11-09 without embargo terms","The student, Samantha Weiss, accepted the attached license on 2016-05-30 at 09:06.","The student, Samantha Weiss, submitted this Dissertation for approval on 2016-05-30 at 09:57.","This Dissertation was approved for publication on 2016-06-02 at 15:24.","DSpace SAF Submission Ingestion Package generated from Vireo submission #9628 on 2016-11-09 at 10:19:37","Made available in DSpace on 2016-11-10T17:49:41Z (GMT). No. of bitstreams: 38 WEISS-DISSERTATION-2016.pdf: 18683951 bytes, checksum: 2a4debea93a8bee5a84a9dca05a46e2f (MD5) clamped_run_alpha10.0_omega38.8668.mp4: 20459918 bytes, checksum: 439900a242ae5c6862e7b97e07d8cb90 (MD5) clamped_run_alpha5.0_omega11.1803.mp4: 18128360 bytes, checksum: 0e59e94ac5100a05e6802516e2cf227a (MD5) run_alpha0.1_omega0.0009.mp4: 16469982 bytes, checksum: 51c033e88c42a212fcab94327194a1b7 (MD5) run_alpha0.1_omega0.0163.mp4: 21884019 bytes, checksum: 649f41923aa50a520a8b5c95cc9484a8 (MD5) run_alpha0.1_omega0.0316.mp4: 19250813 bytes, checksum: 6b6db087fd4a90c77a20b83b0179f871 (MD5) run_alpha0.1_omega0.0419.mp4: 16917971 bytes, checksum: 5a0c53335c3eec2bd0be8d9bc472163d (MD5) run_alpha1.0_omega0.0724.mp4: 8463371 bytes, checksum: 05dfbbb3f08c416b7a13f7a6c03ac040 (MD5) run_alpha1.0_omega0.1447.mp4: 4670634 bytes, checksum: 7d44dd06efb403a8057b72d014f6fd16 (MD5) run_alpha1.0_omega0.5724.mp4: 26937341 bytes, checksum: dd42e268ba0d0d919b79b0b38df1807d (MD5) run_alpha1.0_omega1.0000.mp4: 6035451 bytes, checksum: be2ccd497ce29dcae20237e066cf22e8 (MD5) run_alpha1.0_omega1.2851.mp4: 29161304 bytes, checksum: d42f10af94198914c97deb4c8448dc31 (MD5) run_alpha10.0_omega20.7568.mp4: 9581748 bytes, checksum: 26307801ae6c1be0968dc1468889dec7 (MD5) run_alpha10.0_omega31.6228.mp4: 22442630 bytes, checksum: 2ff2efc1502c1dd0e6d6c974f6770569 (MD5) run_alpha10.0_omega4.9454.mp4: 17284282 bytes, checksum: be6079e2f31232d310c96a11be9b69ab (MD5) run_alpha10.0_omega9.8907.mp4: 21640523 bytes, checksum: a08cf53e33c1008da4577d9871fce65e (MD5) run_alpha5.0_omega1.5500.mp4: 8393412 bytes, checksum: 0acb3ad12310f453a25befce84394494 (MD5) run_alpha5.0_omega11.1803.mp4: 25690596 bytes, checksum: 0d0f1de552e3ee8d24dd8eeb0f20caa7 (MD5) run_alpha5.0_omega13.8738.mp4: 27650518 bytes, checksum: 71f5cc23c96702725d81df2fcd6f4443 (MD5) run_alpha5.0_omega3.1001.mp4: 5748987 bytes, checksum: 8c6086ca8bea988d84ad6f337b1f8a3e (MD5) run_alpha5.0_omega7.1402.mp4: 30960147 bytes, checksum: c925d06a54007f846756db3b256b0d30 (MD5) run_alpha7.0_omega12.0119.mp4: 24146940 bytes, checksum: a45fb95c0cd083146d2062e9fff41109 (MD5) run_alpha7.0_omega18.5203.mp4: 25441761 bytes, checksum: de6ec1800f9afd734cb82a0b6add14e7 (MD5) run_alpha7.0_omega2.7517.mp4: 24951552 bytes, checksum: a4266d3ed9f25dc5c2507e7a9ec610da (MD5) run_alpha7.0_omega22.8592.mp4: 23943994 bytes, checksum: e601e58a852a3ef3638a92dd1dd43481 (MD5) run_alpha7.0_omega5.5035.mp4: 22509671 bytes, checksum: 2c32b482db5252c98847375ecaf86c15 (MD5) SourceFiles.zip: 140772933 bytes, checksum: 3c96f129f64de9772197007526ed4edb (MD5) ElsevierLicenseAgreement.pdf: 118276 bytes, checksum: 1c1ead6a9233943f6d2c03d8aa04d00f (MD5) Gmail - Hello and permission to reproduce figures in my PhD thesis.pdf: 81579 bytes, checksum: 63fd856ad6b744fd7a7ddf380b7e0c73 (MD5) Gmail - Permission to reproduce figures.pdf: 88186 bytes, checksum: 36ba268a2bd90ecd9fcdf2933c463bf3 (MD5) Gmail - Permissions, ProQuest.pdf: 134384 bytes, checksum: d42b1b071754fafeb1e1fd42ddeb7743 (MD5) Gmail - Question about Proquest.pdf: 76462 bytes, checksum: 740dca49c239a98cc4a817864909ba08 (MD5) HickinNanson.zip: 204776 bytes, checksum: f903d6f126ef846ca4699ed8ada1e439 (MD5) ImageBank.zip: 119404 bytes, checksum: 80c84c4c0538ff5a3a49f912f7a88857 (MD5) LICENSE.txt: 4211 bytes, checksum: e3f4f374e90244046a3850e5303d0a9a (MD5) PROQUEST_LICENSE.txt: 4557 bytes, checksum: 52c371721fa5a593630715b8b5619b58 (MD5) ProQuestPermission.pdf: 74298 bytes, checksum: f70ceac29b9cbd38912b13c42e5185b7 (MD5) vanDijk.zip: 547671 bytes, checksum: 8d6c83e78c79bc08162a420efa2e83f5 (MD5) Previous issue date: 2016-06-02"],"dc:format":["application/pdf"],"dc:identifier":["http://hdl.handle.net/2142/92706"],"dc:language":["en"],"dc:rights":["Copyright 2016 Samantha Weiss"],"dc:subject":["Meandering","morphodynamics","channel","meander","uniqueness","flume","upstream","perturbation","geological scaling","skewing","hyberbolic differential equations","nonlinear partial differential equations","spatial discretization","numerical stability","parametric Lagrangian variable","adaptive spatial resolution","convergence","boundary driving","scaling analysis"],"dc:title":["Meandering river dynamics"],"dc:type":["text"],"thesis:degree_discipline":["Chemical Engineering"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:35Z"}