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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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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Taschenbuch. Etat : Neu. Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval | Jan-Philipp Weiß | Taschenbuch | 206 S. | Englisch | 2014 | Karlsruher Institut für Technologie | EAN 9783866440692 | Verantwortliche Person für die EU: Karlsruher Institut für Technologie (KIT), Institut AIFB, Kaiserstr. 89, 76133 Karlsruhe, verlag[at]aifb[dot]uni-karlsruhe[dot]de | Anbieter: preigu Print on Demand. N° de réf. du vendeur 105064196
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