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  • Wärmeleitungsgleichung  (1)
  • KIT Scientific Publishing  (1)
  • American Association for the Advancement of Science
  • 2020-2024  (1)
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  • KIT Scientific Publishing  (1)
  • American Association for the Advancement of Science
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  • 2020-2024  (1)
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    Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval (2021)
    KIT Scientific Publishing
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    Publication Date: 2023-07-05
    Description: Lattice Boltzmann methods are a promising approach for the numerical solution of fluid-dynamic problems. We consider the one-dimensional Goldstein-Taylor model with the aim to answer some of the questions concerning the numerical analysis of lattice Boltzmann schemes. Discretizations for the solution of the heat equation are presented for a selection of boundary conditions. Stability and convergence of the solutions are proved by employing energy estimates and explicit Fourier representations.
    Keywords: QA1-939 ; CFD ; Konvergenz ; Lattice-Boltzmann ; Numerische Strömungssimulation ; Gitter-Boltzmann-Methode ; Wärmeleitungsgleichung ; Heat Equation ; Convergence
    Language: English
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