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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(CKB)4920000000101070 (oapen)https://directory.doabooks.org/handle/20.500.12854/54912 (EXLCZ)994920000000101070 |
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Weiß, Jan-Philipp auth Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval KIT Scientific Publishing 2006 1 electronic resource (VII, 190 p. p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier 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. English CFD Konvergenz Lattice-Boltzmann Numerische Strömungssimulation Gitter-Boltzmann-Methode Wärmeleitungsgleichung Heat Equation Convergence 3-86644-069-3 |
| language |
English |
| format |
eBook |
| author |
Weiß, Jan-Philipp |
| spellingShingle |
Weiß, Jan-Philipp Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval |
| author_facet |
Weiß, Jan-Philipp |
| author_variant |
j p w jpw |
| author_sort |
Weiß, Jan-Philipp |
| title |
Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval |
| title_full |
Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval |
| title_fullStr |
Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval |
| title_full_unstemmed |
Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval |
| title_auth |
Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval |
| title_new |
Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval |
| title_sort |
numerical analysis of lattice boltzmann methods for the heat equation on a bounded interval |
| publisher |
KIT Scientific Publishing |
| publishDate |
2006 |
| physical |
1 electronic resource (VII, 190 p. p.) |
| isbn |
1000005304 3-86644-069-3 |
| illustrated |
Not Illustrated |
| work_keys_str_mv |
AT weißjanphilipp numericalanalysisoflatticeboltzmannmethodsfortheheatequationonaboundedinterval |
| status_str |
n |
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(CKB)4920000000101070 (oapen)https://directory.doabooks.org/handle/20.500.12854/54912 (EXLCZ)994920000000101070 |
| carrierType_str_mv |
cr |
| is_hierarchy_title |
Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval |
| _version_ |
1796648836464115712 |
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