Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval
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...
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| Year of Publication: | 2006 |
| Language: | English |
| Physical Description: | 1 electronic resource (VII, 190 p. p.) |
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| 100 | 1 | |a Weiß, Jan-Philipp |4 auth | |
| 245 | 1 | 0 | |a Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval |
| 260 | |b KIT Scientific Publishing |c 2006 | ||
| 300 | |a 1 electronic resource (VII, 190 p. p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 520 | |a 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. | ||
| 546 | |a English | ||
| 653 | |a CFD | ||
| 653 | |a Konvergenz | ||
| 653 | |a Lattice-Boltzmann | ||
| 653 | |a Numerische Strömungssimulation | ||
| 653 | |a Gitter-Boltzmann-Methode | ||
| 653 | |a Wärmeleitungsgleichung | ||
| 653 | |a Heat Equation | ||
| 653 | |a Convergence | ||
| 776 | |z 3-86644-069-3 | ||
| 906 | |a BOOK | ||
| ADM | |b 2023-12-15 05:44:45 Europe/Vienna |f system |c marc21 |a 2019-11-10 04:18:40 Europe/Vienna |g false | ||
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