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Characterizing Multiscale Structures and Developing Hybrid Low-Order Models of Chaotic Flows
Characterizing Multiscale Structures and Developing Hybrid Low-Order Models of Chaotic Flo...
Characterizing Multiscale Structures and Developing Hybrid Low-Order Models of Chaotic Flows

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자료유형  
 학위논문 서양
최종처리일시  
20260202105652
ISBN  
9798270298906
DDC  
620
저자명  
Guo, Alex.
서명/저자  
Characterizing Multiscale Structures and Developing Hybrid Low-Order Models of Chaotic Flows
발행사항  
[Sl] : The University of Wisconsin - Madison, 2026
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2026
형태사항  
211 p
주기사항  
Source: Dissertations Abstracts International, Volume: 87-07, Section: B.
주기사항  
Advisor: Graham, Michael D.
학위논문주기  
Thesis (Ph.D.)--The University of Wisconsin - Madison, 2026.
초록/해제  
요약Efficient and accurate predictive models are highly sought after in applications such as weather forecasting, chemical processes, and turbulent flows. Wall-bounded turbulence-which is the focus of this work-is a notoriously difficult system to predict due to its chaotic nature and presence of multiscale structures (i.e., eddies or vortices) that must all be resolved in simulations. This thesis contains two main goals. The first is to gain physical insight into wall-bounded turbulence by characterizing its structures. The second goal is to develop and benchmark low-order models of chaotic dynamical systems such as wall-bounded turbulence, which would be instrumental in iterative design and control of these systems due to the many model evaluations required. We start in Chapter 1 with a background on the theory of physical structures embedded in turbulent flow-their appearance and whether they are self-similar across scales-in addition to background on low-order modeling of dynamics on manifolds. In Chapter 2, we present data-driven wavelets as an ideal modal basis for representing and extracting spatially-localized, multiscale structures from data; we use this basis to discover self-similarity of structures in one-dimensional signals of turbulent pipe flow. In Chapter 3, we develop a physics-informed, data-driven reduced-order model (ROM) for forecasting spatiotemporally chaotic dynamical systems. In Chapter 4, we discuss how to combine time-delay embeddings and attention-based neural networks to reconstruct fields from partial observations of the state, which addresses a real-world challenge where sensors (e.g., those measuring atmospheric data) do not always have full coverage. In Chapter 5, we return to using wavelets to characterize structures, but this time in three-dimensional turbulent channel flow. Finally, we conclude in Chapter 6 with a general summary of the chapters and an overview of future work towards developing a high-fidelity, low-order model of wall-bounded turbulence.
일반주제명  
Fluid mechanics
일반주제명  
Applied physics
일반주제명  
Bioengineering
일반주제명  
Chemical engineering
키워드  
Machine learning
키워드  
Physics-informed
키워드  
Reduced-order modeling
키워드  
Time-series prediction
키워드  
Wavelets
기타저자  
The University of Wisconsin - Madison Chemical Engineering
기본자료저록  
Dissertations Abstracts International. 87-07B.
전자적 위치 및 접속  
로그인 후 원문을 볼 수 있습니다.

MARC

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■035    ▼a(MiAaPQ)AAI32403426
■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a620
■1001  ▼aGuo,  Alex.
■24510▼aCharacterizing  Multiscale  Structures  and  Developing  Hybrid  Low-Order  Models  of  Chaotic  Flows
■260    ▼a[Sl]▼bThe  University  of  Wisconsin  -  Madison▼c2026
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2026
■300    ▼a211  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  87-07,  Section:  B.
■500    ▼aAdvisor:  Graham,  Michael  D.
■5021  ▼aThesis  (Ph.D.)--The  University  of  Wisconsin  -  Madison,  2026.
■520    ▼aEfficient  and  accurate  predictive  models  are  highly  sought  after  in  applications  such  as  weather  forecasting,  chemical  processes,  and  turbulent  flows.  Wall-bounded  turbulence-which  is  the  focus  of  this  work-is  a  notoriously  difficult  system  to  predict  due  to  its  chaotic  nature  and  presence  of  multiscale  structures  (i.e.,  eddies  or  vortices)  that  must  all  be  resolved  in  simulations.  This  thesis  contains  two  main  goals.  The  first  is  to  gain  physical  insight  into  wall-bounded  turbulence  by  characterizing  its  structures.  The  second  goal  is  to  develop  and  benchmark  low-order  models  of  chaotic  dynamical  systems  such  as  wall-bounded  turbulence,  which  would  be  instrumental  in  iterative  design  and  control  of  these  systems  due  to  the  many  model  evaluations  required.            We  start  in  Chapter  1  with  a  background  on  the  theory  of  physical  structures  embedded  in  turbulent  flow-their  appearance  and  whether  they  are  self-similar  across  scales-in  addition  to  background  on  low-order  modeling  of  dynamics  on  manifolds.  In  Chapter  2,  we  present  data-driven  wavelets  as  an  ideal  modal  basis  for  representing  and  extracting  spatially-localized,  multiscale  structures  from  data;  we  use  this  basis  to  discover  self-similarity  of  structures  in  one-dimensional  signals  of  turbulent  pipe  flow.  In  Chapter  3,  we  develop  a  physics-informed,  data-driven  reduced-order  model  (ROM)  for  forecasting  spatiotemporally  chaotic  dynamical  systems.  In  Chapter  4,  we  discuss  how  to  combine  time-delay  embeddings  and  attention-based  neural  networks  to  reconstruct  fields  from  partial  observations  of  the  state,  which  addresses  a  real-world  challenge  where  sensors  (e.g.,  those  measuring  atmospheric  data)  do  not  always  have  full  coverage.  In  Chapter  5,  we  return  to  using  wavelets  to  characterize  structures,  but  this  time  in  three-dimensional  turbulent  channel  flow.  Finally,  we  conclude  in  Chapter  6  with  a  general  summary  of  the  chapters  and  an  overview  of  future  work  towards  developing  a  high-fidelity,  low-order  model  of  wall-bounded  turbulence.
■590    ▼aSchool  code:  0262.
■650  4▼aFluid  mechanics
■650  4▼aApplied  physics
■650  4▼aBioengineering
■650  4▼aChemical  engineering
■653    ▼aMachine  learning
■653    ▼aPhysics-informed
■653    ▼aReduced-order  modeling
■653    ▼aTime-series  prediction
■653    ▼aWavelets
■690    ▼a0204
■690    ▼a0202
■690    ▼a0542
■690    ▼a0215
■71020▼aThe  University  of  Wisconsin  -  Madison▼bChemical  Engineering.
■7730  ▼tDissertations  Abstracts  International▼g87-07B.
■790    ▼a0262
■791    ▼aPh.D.
■792    ▼a2026
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17361015▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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