Lattice Boltzmann Simulations in the Slip and Transition Flow Regime with the Peano Framework

Abstract
We present simulation results of flows in the finite Knudsen range, which is in the slip and transition flow regime. Our implementations are based on the Lattice Boltzmann method and are accomplished within the Peano framework. We validate our code by solving two- and three-dimensional channel flow problems and compare our results with respective experiments from other research groups. We further apply our Lattice Boltzmann solver to the geometrical setup of a microreactor consisting of differently sized channels and a reactor chamber. Here, we apply static adaptive grids to fur-ther reduce computational costs. We further investigate the influence of using a simple BGK collision kernel in coarse grid regions which are further away from the slip boundaries. Our results are in good agreement with theory and non-adaptive simulations, demonstrating the validity and the capabilities of our adaptive simulation software for flow problems at finite Knudsen numbers.

Citation
Neumann P, Rohrmann T (2012) Lattice Boltzmann Simulations in the Slip and Transition Flow Regime with the Peano Framework. Open Journal of Fluid Dynamics 02: 101–110. Available: http://dx.doi.org/10.4236/ojfd.2012.23010.

Acknowledgements
The authors gratefully acknowledge the support of the TUM’s Faculty Graduate Center CeDoSIA at Technische Universität München. They further thank the Munich Centre of Advanced Computing and the King Abdullah University of Science and Technology (KAUST, Award No. UK-c0020) for providing computational resources. Till Rohrmann particularly thanks Li-Shi Luo for his immediate and extensive advice during the development of the MRT-based slip flow scheme.

Publisher
Scientific Research Publishing, Inc.

Journal
Open Journal of Fluid Dynamics

DOI
10.4236/ojfd.2012.23010

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