Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval

Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval

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 solutio...

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Bibliographic Details
Main Author: Weiß, Jan-Philipp (auth)
Format: Electronic Book Chapter
Language:English
Published: KIT Scientific Publishing 2006
Subjects:
CFD
Konvergenz
Lattice-Boltzmann
Numerische Strömungssimulation
Gitter-Boltzmann-Methode
Wärmeleitungsgleichung
Heat Equation
Convergence
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Summary: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.
Physical Description:1 electronic resource (VII, 190 p. p.)
ISBN:KSP/1000005304
9783866440692
Access:Open Access

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