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

Published online by Cambridge University Press:  20 August 2015

Philipp Neumann ,
Hans-Joachim Bungartz ,
Miriam Mehl ,
Tobias Neckel  and
Tobias Weinzierl
Philipp Neumann*
Affiliation:
Chair of Scientific Computing, Faculty of Informatics, Technische Universität München, Boltzmannstr. 3, 81545 Garching, Germany
Hans-Joachim Bungartz
Affiliation:
Chair of Scientific Computing, Faculty of Informatics, Technische Universität München, Boltzmannstr. 3, 81545 Garching, Germany
Miriam Mehl
Affiliation:
Chair of Scientific Computing, Faculty of Informatics, Technische Universität München, Boltzmannstr. 3, 81545 Garching, Germany
Tobias Neckel
Affiliation:
Chair of Scientific Computing, Faculty of Informatics, Technische Universität München, Boltzmannstr. 3, 81545 Garching, Germany
Tobias Weinzierl
Affiliation:
Chair of Scientific Computing, Faculty of Informatics, Technische Universität München, Boltzmannstr. 3, 81545 Garching, Germany
*
*Corresponding author.Email:neumanph@in.tum.de
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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.

Keywords

35Q3035Q3576M1076-xxSpatial couplingLattice BoltzmannNavier-StokesPeano

Information

Type
Research Article
Information
Communications in Computational Physics , Volume 12 , Issue 1 , July 2012 , pp. 65 - 84
Copyright
Copyright © Global Science Press Limited 2012

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