Numerical lifting for lattice Boltzmann models
Faculty of Sciences. Mathematics and Computer Science
Bussum :Bentham, 2013
Novel trends in lattice-Boltzmann methods / Ehrhardt, Matthias [edit.]
Progress in computational physics ; 3
University of Antwerp
In this chapter we give an overview of various lifting strategies for lattice Boltzmann models (LBMs). A lifting operator finds for a given macroscopic variable the corresponding distribution functions, mesoscopic variables of the lattice Boltzmann model. This is, for example, useful in coupled LBM and partial differential equation (PDE) models, where one part of the domain is described by a macroscopic 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. We discuss the accuracy, computational cost and convergence rate of some analytical and numerical lifting procedures.