A dynamic mesh refinement technique for Lattice Boltzmann simulations on octree-like grids

Philipp Neumann, Tobias Neckel

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

In this contribution, we present our new adaptive Lattice Boltzmann implementation within the Peano framework, with special focus on nanoscale particle transport problems. With the continuum hypothesis not holding anymore on these small scales, new physical effects - such as Brownian fluctuations - need to be incorporated. We explain the overall layout of the application, including memory layout and access, and shortly review the adaptive algorithm. The scheme is validated by different benchmark computations in two and three dimensions. An extension to dynamically changing grids and a spatially adaptive approach to fluctuating hydrodynamics, allowing for the thermalisation of the fluid in particular regions of interest, is proposed. Both dynamic adaptivity and adaptive fluctuating hydrodynamics are validated separately in simulations of particle transport problems. The application of this scheme to an oscillating particle in a nanopore illustrates the importance of Brownian fluctuations in such setups. © 2012 Springer-Verlag.
Original languageEnglish (US)
Pages (from-to)237-253
Number of pages17
JournalComputational Mechanics
Volume51
Issue number2
DOIs
StatePublished - Apr 27 2012
Externally publishedYes

Fingerprint

Dive into the research topics of 'A dynamic mesh refinement technique for Lattice Boltzmann simulations on octree-like grids'. Together they form a unique fingerprint.

Cite this