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

• Autore: Weiß Jan-Philipp
• Pubblicazione: KIT Scientific Publishing, 2006
• Descrizione fisica: 1 online resource (VII, 190 p. p.)
• Soggetto non controllato: CFD; Convergence; Gitter-Boltzmann-Methode; Heat Equation; Konvergenz; Lattice-Boltzmann; Numerische Strömungssimulation; Wärmeleitungsgleichung
• Sommario/riassunto: 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.
• Titolo autorizzato: Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval
• ISBN: 1000005304
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910346945203321
• Lo trovi qui: Univ. Federico II