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Jan-Philipp Weiß (Hrsg.)

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

AutorWeiß, Jan-Philipp (Hrsg.)

VerlagUniversitätsverlag Karlsruhe, Karlsruhe

ISBN9783866440692

UmfangVII, 190 S.

Veröffentlicht
am:
15.12.2006

Erscheinungs-
jahr
2006

VerfügbarkeitAktiv

Downloads:

Für Zitate bitte die folgende URL verwenden:
http://dx.doi.org/10.5445/KSP/1000005304

Abstract

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.