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

• Hoofdauteur: Weiß, Jan-Philipp (auth)
• Formaat: Elektronisch Hoofdstuk
• Taal: Engels
• Gepubliceerd in: KIT Scientific Publishing 2006
• Onderwerpen: CFD; Konvergenz; Lattice-Boltzmann; Numerische Strömungssimulation; Gitter-Boltzmann-Methode; Wärmeleitungsgleichung; Heat Equation; Convergence
• Online toegang: DOAB: download the publication; DOAB: description of the publication

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 solutio...