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.
| Author: Jan-Philipp Weiß |
| Publisher: Karlsruher Institut Fur Technologie |
| Publication Date: Oct 16, 2014 |
| Number of Pages: 206 pages |
| Binding: Paperback or Softback |
| ISBN-10: 3866440693 |
| ISBN-13: 9783866440692 |
