Title: Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval
Publisher: Karlsruher Institut fur Technologie 2014-10
Publication Date: 2014
Language: German
ISBN 10: 3866440693
ISBN 13: 9783866440692
Binding: PF
Condition: New

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Synopsis

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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