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Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval (2006)

Weiß, Jan-Philipp

KIT Scientific Publishing

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UID:

edocfu_9959145940002883

Umfang: 1 electronic resource (VII, 190 p. p.)

ISBN: 1000005304

Inhalt: 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.

Anmerkung: English

Weitere Ausg.: ISBN 3-86644-069-3

Sprache: Englisch

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