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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

Paperback

General Mathematics

ISBN10: 3866440693
ISBN13: 9783866440692
Publisher: Karlsruher Institut Fur Techn
Published: Oct 16 2014
Pages: 206
Weight: 0.55
Height: 0.44 Width: 5.83 Depth: 8.27
Language: English
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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General Mathematics