%0 Book Section %1 statphys23_0250 %A Schiller, U.D. %A Duenweg, B. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K boltzmann boundary conditions distribution equilibrium hydrodynamics lattice length matter slip soft statphys23 topic-7 %T Boundary conditions for partial slip in lattice Boltzmann simulations %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=250 %X We present a local boundary condition for partial slip in lattice Boltzmann simulations. The effect of the boundary is modelled mesoscopically as a friction force which acts in the parallel direction of the flow at the boundary. Using a functional approach to the equilibrium distribution function the mapping from the hydrodynamic fields to the lattice Boltzmann populations can be implemented strictly locally. On the macroscopic level this boundary condition corresponds to the concept of a slip length. In our approach, the latter can be tuned with a single input parameter for the simulation. The boundary condition is used to simulate Poiseuille flow through a channel and the results are compared with theoretical predictions.

@incollection{statphys23_0250, abstract = {We present a local boundary condition for partial slip in lattice Boltzmann simulations. The effect of the boundary is modelled mesoscopically as a friction force which acts in the parallel direction of the flow at the boundary. Using a functional approach to the equilibrium distribution function the mapping from the hydrodynamic fields to the lattice Boltzmann populations can be implemented strictly locally. On the macroscopic level this boundary condition corresponds to the concept of a slip length. In our approach, the latter can be tuned with a single input parameter for the simulation. The boundary condition is used to simulate Poiseuille flow through a channel and the results are compared with theoretical predictions.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Schiller, U.D. and Duenweg, B.}, biburl = {https://www.bibsonomy.org/bibtex/21dbb5abf7c6d118ca7cc7dec211abfdb/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {75b7805db5fda0560ef22b435a7009aa}, intrahash = {1dbb5abf7c6d118ca7cc7dec211abfdb}, keywords = {boltzmann boundary conditions distribution equilibrium hydrodynamics lattice length matter slip soft statphys23 topic-7}, month = {9-13 July}, timestamp = {2007-06-20T10:16:15.000+0200}, title = {Boundary conditions for partial slip in lattice Boltzmann simulations}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=250}, year = 2007 }