Numerical Analysis of Lattice Boltzmann Methods for the Heat Equation on a Bounded Interval - Couverture souple

Weiß, Jan-Philipp

 
9783866440692: Numerical Analysis of Lattice Boltzmann Methods for the Heat Equation on a Bounded Interval

Synopsis

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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Présentation de l'éditeur

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.