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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.
Umfang: VII, 190 S.
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Weiß, J. 2006. Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval. Karlsruhe: KIT Scientific Publishing. DOI: https://doi.org/10.5445/KSP/1000005304
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Veröffentlicht am 15. Dezember 2006
Englisch
205
| Paperback | 978-3-86644-069-2 |