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@PHDTHESIS{Make:816674,
      author       = {Make, Michael Karl Petronella},
      othercontributors = {Behr, Marek and Elgeti, Stefanie Nicole},
      title        = {{S}pline-based methods for aerothermoelastic problems},
      school       = {Rheinisch-Westfälische Technische Hochschule Aachen},
      type         = {Dissertation},
      address      = {Aachen},
      publisher    = {RWTH Aachen University},
      reportid     = {RWTH-2021-03363},
      pages        = {1 Online-Ressource : Illustrationen, Diagramme},
      year         = {2021},
      note         = {Veröffentlicht auf dem Publikationsserver der RWTH Aachen
                      University; Dissertation, Rheinisch-Westfälische Technische
                      Hochschule Aachen, 2021},
      abstract     = {This thesis investigates the role of geometry
                      representation in the numerical analysis of
                      aerothermoelastic problems. Nowadays, numerical analysis on
                      spline-based geometric objects is possible through
                      isogeometric analysis (IGA) by utilizing the spline-basis
                      for numerical analysis. Although IGA allows for the analysis
                      of volumetric splines, generating such splines is not
                      trivial. For the analysis of thin-walled elastic structures,
                      this drawback can be circumvented by applying shell-theory.
                      For most fluid problems, however, such a workaround does not
                      exist. The NURBS-enhanced finite element method (NEFEM)
                      solves this issue by requiring only the domain boundaries to
                      be defined using splines. Both the NEFEM and IGAprovide an
                      exact geometric boundary representation for numerical
                      analysis. In the current work, NEFEM and IGA are coupled to
                      provide a spline-based coupling interface in the context of
                      fluid-structure interaction (FSI). The coupling is done
                      within a strongly coupled partitioned solver framework,
                      which allows for Dirichlet-Neumann (DN) and Robin-Neumann
                      (RN) coupling. Combining NEFEM and IGA leads to a
                      geometrically compatible fluid-structure interface defined
                      by a single common spline. This enables a consistent and
                      conservative transfer of coupling data between the fluid and
                      structural domains. Furthermore, the common spline interface
                      enables the direct integration of coupling quantities on the
                      fluid and structural domains using the spline-basis. The
                      numerical performance of the spline-based solver framework
                      is investigated through a set of example problems. For
                      compressible and incompressible flow problems, not
                      considering FSI, improved numerical accuracy is observed
                      when the exact geometry is considered through the NEFEM. An
                      extension of this investigation to FSI problems shows
                      similar behavior. It is found that especially fully-enclosed
                      Dirichlet-bounded problems can benefit from the accurate
                      boundary representation provided by the proposed
                      spline-based method. Furthermore, the given examples show
                      that using a common spline-basis can improve the numerical
                      stability of the employed spatial coupling procedures. This
                      observation is especially relevant for thermal coupled
                      problems, for which such instabilities could lead to the
                      inability to obtain converged numerical solutions.},
      cin          = {416010},
      ddc          = {620},
      cid          = {$I:(DE-82)416010_20140620$},
      typ          = {PUB:(DE-HGF)11},
      doi          = {10.18154/RWTH-2021-03363},
      url          = {https://publications.rwth-aachen.de/record/816674},
}