SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Invited Talk

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Numerical lifting for Lattice Boltzmann models

Y. Vanderhoydonc and W. Vanroose

Abstract
In this contribution we give an overview of various lifting strategies for Lattice Boltzmann models (LBMs). A lifting operator finds for given macroscopic variables the corresponding distribution functions, mesoscopic variables of the LBM. There are several applications where macroscopic variables need to be mapped to these distribution functions. For example, starting a LBM from given macroscopic initial conditions includes some arbitrariness. The initialization of the LBM then requires a lifting operator. Another application of a lifting operator is found in coupled LBM and macroscopic partial differential equation (PDE) models, where one part of the domain is described by a PDE while another part is modeled by a LBM. Such a hybrid coupling results in missing data at the interfaces between the different models. The lifting operator provides the correct boundary conditions for the LBM domain at the interfaces. [1] contains an overview of the different lifting strategies.

Bibliography
[1] Y. Vanderhoydonc, W. Vanroose, C. Vandekerckhove, P. Van Leemput and D. Roose, Numerical lifting for Lattice Boltzmann models, chapter in E-book series Progress in Computational Physics, vol. 3, accepted for publication.

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