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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| Format: | Electronic Book Chapter |
| Language: | English |
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KIT Scientific Publishing
2006
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| Online Access: | DOAB: download the publication DOAB: description of the publication |
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| 001 | doab_20_500_12854_54912 | ||
| 005 | 20210211 | ||
| 003 | oapen | ||
| 006 | m o d | ||
| 007 | cr|mn|---annan | ||
| 008 | 20210211s2006 xx |||||o ||| 0|eng d | ||
| 020 | |a KSP/1000005304 | ||
| 020 | |a 9783866440692 | ||
| 040 | |a oapen |c oapen | ||
| 024 | 7 | |a 10.5445/KSP/1000005304 |c doi | |
| 041 | 0 | |a eng | |
| 042 | |a dc | ||
| 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 | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 506 | 0 | |a Open Access |2 star |f Unrestricted online access | |
| 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. | ||
| 540 | |a All rights reserved |4 http://oapen.org/content/about-rights | ||
| 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 | ||
| 856 | 4 | 0 | |a www.oapen.org |u https://www.ksp.kit.edu/9783866440692 |7 0 |z DOAB: download the publication |
| 856 | 4 | 0 | |a www.oapen.org |u https://directory.doabooks.org/handle/20.500.12854/54912 |7 0 |z DOAB: description of the publication |