Numerical analysis of lattice Boltzmann methods for the heat equation on a bounded interval

Autori

• Jan-Philipp Weiß

Parametri

• Libri di testo
• Libri di testo universitari

Maggiori informazioni sul libro

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.

Per saperne di più

Lingua: Tedesco

Pubblicato: 2006

(In brossura)