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@PHDTHESIS{ori:1023966,
      author       = {Đorđić, Vladimir},
      othercontributors = {Torrilhon, Manuel and Pavić-Čolić, Milana},
      title        = {{M}oment method for polyatomic gases : from modelling to
                      numerical simulations},
      school       = {RWTH Aachen University},
      type         = {Dissertation},
      address      = {Aachen},
      publisher    = {RWTH Aachen University},
      reportid     = {RWTH-2025-10887},
      pages        = {1 Online-Ressource : Illustrationen},
      year         = {2025},
      note         = {Veröffentlicht auf dem Publikationsserver der RWTH Aachen
                      University 2026; Dissertation, RWTH Aachen University, 2025},
      abstract     = {This thesis presents models for polyatomic gases at both
                      mesoscopic and macroscopic levels. At the mesoscopic level,
                      the Boltzmann equation with a polyatomic collision operator
                      is used, and new collision kernels are proposed allowing
                      flexibility to match specific gas properties. At the
                      macroscopic level, moment equations – specifically the 14-
                      and 17-moment systems – are used to model flows in the
                      transition regime. The collision operator is evaluated to
                      obtain transport coefficients, and a data-driven approach is
                      used to fit model parameters to reproduce experimental
                      values for viscosity, bulk-to-shear viscosity ratio, and the
                      Prandtl number. To validate the models, numerical
                      simulations of heat conduction in polyatomic gases are
                      performed using a finite element method within the FEniCS
                      framework. Regularized version of the 17-moment system with
                      entropy-stable boundary conditions is developed, and its
                      linear, steady-state form is implemented. The simulations
                      demonstrate mesh convergence and reveal that, for small
                      Knudsen numbers, non-equilibrium temperatures converge,
                      consistent with previous results for polyatomic gases. The
                      impact of bulk viscosity is also examined, showing that it
                      primarily affects the dynamical pressure, while the total
                      temperature profile remains stable.},
      cin          = {115010 / 110000},
      ddc          = {510},
      cid          = {$I:(DE-82)115010_20140620$ / $I:(DE-82)110000_20140620$},
      pnm          = {GRK 2326 - GRK 2326: Energie, Entropie und Dissipative
                      Dynamik (320021702)},
      pid          = {G:(GEPRIS)320021702},
      typ          = {PUB:(DE-HGF)11},
      doi          = {10.18154/RWTH-2025-10887},
      url          = {https://publications.rwth-aachen.de/record/1023966},
}