000 01730naaaa2200337uu 4500
001 https://directory.doabooks.org/handle/20.500.12854/54912
005 20220220025540.0
020 _aKSP/1000005304
020 _a9783866440692
024 7 _a10.5445/KSP/1000005304
_cdoi
041 0 _aEnglish
042 _adc
100 1 _aWeiß, Jan-Philipp
_4auth
245 1 0 _aNumerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval
260 _bKIT Scientific Publishing
_c2006
300 _a1 electronic resource (VII, 190 p. p.)
506 0 _aOpen Access
_2star
_fUnrestricted online access
520 _aLattice 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 _aAll rights reserved
_4http://oapen.org/content/about-rights
546 _aEnglish
653 _aCFD
653 _aKonvergenz
653 _aLattice-Boltzmann
653 _aNumerische Strömungssimulation
653 _aGitter-Boltzmann-Methode
653 _aWärmeleitungsgleichung
653 _aHeat Equation
653 _aConvergence
856 4 0 _awww.oapen.org
_uhttps://www.ksp.kit.edu/9783866440692
_70
_zDOAB: download the publication
856 4 0 _awww.oapen.org
_uhttps://directory.doabooks.org/handle/20.500.12854/54912
_70
_zDOAB: description of the publication
999 _c60753
_d60753