Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval 1

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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
Price: 799 SEK
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Author: Jan-Philipp Weiss
ISBN: 9783866440692

Jan-Philipp Weiss

Pocket

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206 sidor
2014

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.

Författare: Jan-Philipp Weiss
Format: Pocket/Paperback
ISBN: 9783866440692
Språk: Engelska
Antal sidor: 206
Utgivningsdatum: 2014-10-16
Förlag: Karlsruher Institut Fur Technologie