Numerical Analysis of Lattice Boltzmann Methods for the Heat Equation on a Bounded Interval (German Edition)

Weiß, Jan-Philipp

ISBN 10: 3866440693 / ISBN 13: 9783866440692

Verlag: KIT Scientific Publishing, 2006

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Bestandsnummer des Verkäufers 9783866440692

Bibliografische Details

• Titel: Numerical Analysis of Lattice Boltzmann Methods for the Heat Equation on a Bounded Interval (German Edition)
• Verlag: KIT Scientific Publishing
• Erscheinungsjahr: 2006
• Sprache: Deutsch
• ISBN-10: 3866440693
• ISBN-13: 9783866440692
• Einband: Softcover
• Zustand: New

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Inhaltsangabe

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.