2024-03-29T07:28:02Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/507992016-02-17T08:39:17Zcom_10261_130com_10261_4col_10261_383
2012-06-05T09:57:02Z
urn:hdl:10261/50799
Momentum transfer correction for macroscopic-gradient boundary conditions in lattice Boltzmann methods
Izquierdo, Salvador
Fueyo, Norberto
The boundary conditions used to represent macroscopic-gradient-related effects in arbitrary geometries with the lattice Boltzmann methods need a trade-off between the complexity of the scheme, due to the loss of localness and the difficulties for directly applying link-based approaches, and the accuracy obtained. A generalization of the momentum transfer boundary condition is presented, in which the arbitrary location of the boundary is addressed with link-wise interpolation (used for Dirichlet conditions) and the macroscopic gradient is taken into account with a finite-difference scheme. This leads to a stable approach for arbitrary geometries that can be used to impose Neumann and Robin boundary conditions. The proposal is validated for stress boundary conditions at walls. Two-dimensional steady and unsteady configurations are used as test case: partial-slip flow between two infinite plates and the slip flow past a circular cylinder. © 2009 Elsevier Inc. All rights reserved.
2012-06-05T09:57:02Z
2012-06-05T09:57:02Z
2010
2012-06-05T09:57:02Z
artículo
Journal of Computational Physics 229: 2497-2506 (2010)
http://hdl.handle.net/10261/50799
10.1016/j.jcp.2009.11.036
eng
closedAccess
Academic Press