Title




A multilevel algorithm to compute steady states of lattice Boltzmann models


Author






Abstract




We present a multilevel algorithm to compute steady states oflattice Boltzmann models directly as fixed points of a timestepper. At the fine scale, we use a Richardson iteration for the fixed point equation, which amounts to timestepping towards equilibrium. This finescale iteration is accelerated by transferring the error to a coarse level. At this coarse level, one directly solves for the density (the zeroth moment of the lattice Boltzmann distributions), for which a coarselevel equation is known in some appropriate limit. The algorithm closely resembles the classical multigrid algorithm in spirit, structure and convergence behaviour. In this paper, we discuss the formulation of this algorithm. We give an intuitive explanation of its convergence behaviour and illustrate with numerical experiments. 


Language




English


Source (book)




Coping with complexity : model reduction and data analysis / Gorban, Alexander N. [edit.]; et al. [edit.]


Publication




Berlin
:
Springer
,
2011


ISBN




9783642149405


DOI




10.1007/9783642149412_8


Volume/pages




p. 151167


Full text (Publisher's DOI)






Full text (open access)





