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Momentum transfer correction for macroscopic-gradient boundary conditions in lattice Boltzmann methods | Grupo de Fluidodinámica Numérica

Momentum transfer correction for macroscopic-gradient boundary conditions in lattice Boltzmann methods

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TítuloMomentum transfer correction for macroscopic-gradient boundary conditions in lattice Boltzmann methods
Publication TypeJournal Article
Year of Publication2010
AuthorsIzquierdo S, Fueyo N
JournalJournal of Computational Physics
Volume229
Pagination2497 - 2506
Date Published04/2010
ISSN00219991
Abstract

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.

DOI10.1016/j.jcp.2009.11.036
Short TitleJournal of Computational Physics