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Output-Based Error Estimation and Mesh Adaptation for High-Fidelity Fluid-Structure Interaction
Output-Based Error Estimation and Mesh Adaptation for High-Fidelity Fluid-Structure Intera...
Output-Based Error Estimation and Mesh Adaptation for High-Fidelity Fluid-Structure Interaction

상세정보

자료유형  
 학위논문 서양
최종처리일시  
20250211153013
ISBN  
9798384045427
DDC  
629.1
저자명  
Frigoletto, Braden E.
서명/저자  
Output-Based Error Estimation and Mesh Adaptation for High-Fidelity Fluid-Structure Interaction
발행사항  
[Sl] : University of Michigan, 2024
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2024
형태사항  
159 p
주기사항  
Source: Dissertations Abstracts International, Volume: 86-04, Section: B.
주기사항  
Advisor: Cesnik, Carlos E. S.;Fidkowski, Krzysztof J.
학위논문주기  
Thesis (Ph.D.)--University of Michigan, 2024.
초록/해제  
요약Complex multidisciplinary systems require high-fidelity analysis techniques to accurately capture the mutual interactions and coupling of the participating disciplines. However, high costs associated with preparing, running, and verifying these models can limit their use. Numerical methods like error estimation and adaptive mesh refinement have been shown to significantly reduce some of the cost burden associated with high-fidelity analysis approaches. Therefore, their adoption can potentially allow for improvements in the design process of multidisciplinary systems. This dissertation aims to develop output-based error estimation and mesh adaptation methods in a high-fidelity framework for fluid-structure interaction and to demonstrate the computational and operational benefits when applied to fluid-structure interaction simulations. A partitioned framework for high-fidelity, steady, aeroelastic analysis is presented. The fluid system models the compressible Euler and Navier-Stokes equations using a high-order discontinuous Galerkin finite element method, whereas the structural system models a built-up shell formulation using a high-order continuous Galerkin finite element method. Spatial coupling between the fluid and structural domains is accomplished using a least-squares technique and the principle of virtual work to transfer sets of displacements and loads across the non-matching discretizations of the fluid-structure interface. Mesh motion in the fluid domain is done with a multiscale radial basis function interpolation technique to complete the coupling cycle. These components are assembled together in a single computing environment that executes the four main components of the proposed analysis procedure: the primal state solution, adjoint solution, error estimation, and mesh adaptation.Details of the coupled primal and adjoint systems are presented, including the development of the coupled adjoint and related derivative evaluations. Both primal and adjoint solutions are made with block Gauss-Seidel fixed-point iterations. The output-based error estimate is determined using nested approximation spaces and evaluated with an adjoint-weighted residual. The error estimates are localized to the elements of each domain and are used to form adaptive indicators for mesh refinement. Mesh refinement is carried out on either the element size or order of approximation. Error estimation and mesh adaptation are applied concurrently in both domains until an error tolerance in the output of interest is achieved. The various components of the complete framework are demonstrated and verified independently on geometries including half-vehicle and isolated wing models of conventional transonic transport aircraft. The coupled adaptive analysis is applied to a sample test case considering various outputs of interest for both the fluid and structural domains. The adaptive approach was able to achieve approximately an order of magnitude reduction in the number of degrees of freedom required for a converged output compared to uniform refinement. Likewise, the adaptive analysis saw computational times as low as 23% of what was required by the conventional approach. These results indicate significant time, computational resource, and user interaction cost savings from the proposed approach.
일반주제명  
Aerospace engineering
일반주제명  
Computer engineering
일반주제명  
Computer science
일반주제명  
Computational physics
일반주제명  
Fluid mechanics
키워드  
Fluid-structure interaction
키워드  
Output-based error estimation
키워드  
Adaptive mesh refinement
키워드  
Finite-element methods
키워드  
Navier-Stokes equations
기타저자  
University of Michigan Aerospace Engineering
기본자료저록  
Dissertations Abstracts International. 86-04B.
전자적 위치 및 접속  
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MARC

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■006m          o    d                
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■020    ▼a9798384045427
■035    ▼a(MiAaPQ)AAI31631489
■035    ▼a(MiAaPQ)umichrackham005601
■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a629.1
■1001  ▼aFrigoletto,  Braden  E.
■24510▼aOutput-Based  Error  Estimation  and  Mesh  Adaptation  for  High-Fidelity  Fluid-Structure  Interaction
■260    ▼a[Sl]▼bUniversity  of  Michigan▼c2024
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2024
■300    ▼a159  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  86-04,  Section:  B.
■500    ▼aAdvisor:  Cesnik,  Carlos  E.  S.;Fidkowski,  Krzysztof  J.
■5021  ▼aThesis  (Ph.D.)--University  of  Michigan,  2024.
■520    ▼aComplex  multidisciplinary  systems  require  high-fidelity  analysis  techniques  to  accurately  capture  the  mutual  interactions  and  coupling  of  the  participating  disciplines.  However,  high  costs  associated  with  preparing,  running,  and  verifying  these  models  can  limit  their  use.  Numerical  methods  like  error  estimation  and  adaptive  mesh  refinement  have  been  shown  to  significantly  reduce  some  of  the  cost  burden  associated  with  high-fidelity  analysis  approaches.  Therefore,  their  adoption  can  potentially  allow  for  improvements  in  the  design  process  of  multidisciplinary  systems.  This  dissertation  aims  to  develop  output-based  error  estimation  and  mesh  adaptation  methods  in  a  high-fidelity  framework  for  fluid-structure  interaction  and  to  demonstrate  the  computational  and  operational  benefits  when  applied  to  fluid-structure  interaction  simulations. A  partitioned  framework  for  high-fidelity,  steady,  aeroelastic  analysis  is  presented.  The  fluid  system  models  the  compressible  Euler  and  Navier-Stokes  equations  using  a  high-order  discontinuous  Galerkin  finite  element  method,  whereas  the  structural  system  models  a  built-up  shell  formulation  using  a  high-order  continuous  Galerkin  finite  element  method.  Spatial  coupling  between  the  fluid  and  structural  domains  is  accomplished  using  a  least-squares  technique  and  the  principle  of  virtual  work  to  transfer  sets  of  displacements  and  loads  across  the  non-matching  discretizations  of  the  fluid-structure  interface.  Mesh  motion  in  the  fluid  domain  is  done  with  a  multiscale  radial  basis  function  interpolation  technique  to  complete  the  coupling  cycle.  These  components  are  assembled  together  in  a  single  computing  environment  that  executes  the  four  main  components  of  the  proposed  analysis  procedure:  the  primal  state  solution,  adjoint  solution,  error  estimation,  and  mesh  adaptation.Details  of  the  coupled  primal  and  adjoint  systems  are  presented,  including  the  development  of  the  coupled  adjoint  and  related  derivative  evaluations.  Both  primal  and  adjoint  solutions  are  made  with  block  Gauss-Seidel  fixed-point  iterations.  The  output-based  error  estimate  is  determined  using  nested  approximation  spaces  and  evaluated  with  an  adjoint-weighted  residual.  The  error  estimates  are  localized  to  the  elements  of  each  domain  and  are  used  to  form  adaptive  indicators  for  mesh  refinement.  Mesh  refinement  is  carried  out  on  either  the  element  size  or  order  of  approximation.  Error  estimation  and  mesh  adaptation  are  applied  concurrently  in  both  domains  until  an  error  tolerance  in  the  output  of  interest  is  achieved.  The  various  components  of  the  complete  framework  are  demonstrated  and  verified  independently  on  geometries  including  half-vehicle  and  isolated  wing  models  of  conventional  transonic  transport  aircraft.  The  coupled  adaptive  analysis  is  applied  to  a  sample  test  case  considering  various  outputs  of  interest  for  both  the  fluid  and  structural  domains.  The  adaptive  approach  was  able  to  achieve  approximately  an  order  of  magnitude  reduction  in  the  number  of  degrees  of  freedom  required  for  a  converged  output  compared  to  uniform  refinement.  Likewise,  the  adaptive  analysis  saw  computational  times  as  low  as  23%  of  what  was  required  by  the  conventional  approach.  These  results  indicate  significant  time,  computational  resource,  and  user  interaction  cost  savings  from  the  proposed  approach.
■590    ▼aSchool  code:  0127.
■650  4▼aAerospace  engineering
■650  4▼aComputer  engineering
■650  4▼aComputer  science
■650  4▼aComputational  physics
■650  4▼aFluid  mechanics
■653    ▼aFluid-structure  interaction
■653    ▼aOutput-based  error  estimation
■653    ▼aAdaptive  mesh  refinement
■653    ▼aFinite-element  methods
■653    ▼aNavier-Stokes  equations
■690    ▼a0538
■690    ▼a0984
■690    ▼a0464
■690    ▼a0216
■690    ▼a0204
■71020▼aUniversity  of  Michigan▼bAerospace  Engineering.
■7730  ▼tDissertations  Abstracts  International▼g86-04B.
■790    ▼a0127
■791    ▼aPh.D.
■792    ▼a2024
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17164530▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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