Numerical Analysis of Lattice Boltzmann Methods for the...

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Numerical Analysis of Lattice Boltzmann Methods for the Heat Equation on a Bounded Interval

Name: Numerical Analysis of Lattice Boltzmann Methods for the Heat Equation on a Bounded Interval
ISBN: 9783866440692

Weiß Jan-Philipp

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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.

Categorie:

Mathematics

Anno:

2006

Edizione:

PhD Thesis

Casa editrice:

KIT Scientific Publishing

Lingua:

english

Pagine:

208