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

• Main Author: Weiß, Jan-Philipp (auth)
• Format: Electronic Book Chapter
• Language: English
• Published: KIT Scientific Publishing 2006
• Subjects: CFD; Konvergenz; Lattice-Boltzmann; Numerische Strömungssimulation; Gitter-Boltzmann-Methode; Wärmeleitungsgleichung; Heat Equation; Convergence
• Online Access: 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...