Numerical analysis of lattice Boltzmann methods for the heat equation on a bounded interval

Beschreibung

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.
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Jan Ph Weiß

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Konvergenz Wärmeleitungsgleichung Gitter-Boltzmann-Methode Numerische Strömungssimulation

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