Commun. Comput. Phys., 12 (2012), pp. 65-84.


A Coupled Approach for Fluid Dynamic Problems Using the PDE Framework Peano

Philipp Neumann 1*, Hans-Joachim Bungartz 1, Miriam Mehl 1, Tobias Neckel 1, Tobias Weinzierl 1

1 Chair of Scientific Computing, Faculty of Informatics, Technische Universitat Munchen, Boltzmannstr. 3, 81545 Garching, Germany.

Received 21 September 2010; Accepted (in revised version) 20 June 2011
Available online 19 January 2012
doi:10.4208/cicp.210910.200611a

Abstract

We couple different flow models, i.e. a finite element solver for the Navier-Stokes equations and a Lattice Boltzmann automaton, using the framework Peano as a common base. The new coupling strategy between the meso- and macroscopic solver is presented and validated in a 2D channel flow scenario. The results are in good agreement with theory and results obtained in similar works by Latt et al. In addition, the test scenarios show an improved stability of the coupled method compared to pure Lattice Boltzmann simulations.

AMS subject classifications: 35Q30, 35Q35, 76M10, 76-xx

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Key words: Spatial coupling, Lattice Boltzmann, Navier-Stokes, Peano.

*Corresponding author.
Email: neumanph@in.tum.de (P. Neumann)
 

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