TY  - BOOK
AU  - Weiß, Jan-Philipp
AB  - 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.
DO  - 10.5445/KSP/1000005304
ID  - OAPEN ID: 35592
KW  - CFD
KW  - Konvergenz
KW  - Lattice-Boltzmann
KW  - Numerische Strömungssimulation
KW  - Gitter-Boltzmann-Methode
KW  - Wärmeleitungsgleichung
KW  - Heat Equation
KW  - Convergence
L1  - https://www.ksp.kit.edu/9783866440692
LA  - English
LK  - https://directory.doabooks.org/handle/20.500.12854/54912
PB  - KIT Scientific Publishing
PY  - 2006
SN  - 9783866440692
TI  - Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded intervalnull
ER  - 
