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Beschreibung
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.
Details
| Verlag | KIT Scientific Publishing |
| Ersterscheinung | 15. Dezember 2006 |
| Maße | 21 cm x 14.8 cm |
| Gewicht | 350 Gramm |
| Format | Softcover |
| ISBN-13 | 9783866440692 |
| Seiten | 190 |
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