Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval
Weiß, Jan-Philipp
Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval - KIT Scientific Publishing 2006 - 1 electronic resource (VII, 190 p. p.)
Open Access
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.
All rights reserved
English
KSP/1000005304 9783866440692
10.5445/KSP/1000005304 doi
CFD Konvergenz Lattice-Boltzmann Numerische Strömungssimulation Gitter-Boltzmann-Methode Wärmeleitungsgleichung Heat Equation Convergence
Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval - KIT Scientific Publishing 2006 - 1 electronic resource (VII, 190 p. p.)
Open Access
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.
All rights reserved
English
KSP/1000005304 9783866440692
10.5445/KSP/1000005304 doi
CFD Konvergenz Lattice-Boltzmann Numerische Strömungssimulation Gitter-Boltzmann-Methode Wärmeleitungsgleichung Heat Equation Convergence