Book ; Online: Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval
2006
Abstract: 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 ... ...
Abstract | 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 |
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Keywords | Mathematics |
Size | 1 electronic resource (VII, 190 p. p.) |
Publisher | KIT Scientific Publishing |
Publishing place | Verlagsort nicht ermittelbar |
Document type | Book ; Online |
Note | ENGLISH ; Open Access |
HBZ-ID | HT020197655 |
ISBN | 9783866440692 ; 3866440693 |
Database | ZB MED Catalogue: Medicine, Health, Nutrition, Environment, Agriculture |
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