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.

@article{ACAFFDPUTP12,
	author	 = {Philipp Neumann and Hans-Joachim Bungartz and Miriam Mehl and Tobias Neckel and Tobias Weinzierl},
	title	 = {{A Coupled Approach for Fluid Dynamic Problems Using the PDE Framework Peano}},
	year	 = {2012},
	editor	 = {Xian-Tu He},
	publisher	 = {Global Science Press},
	journal	 = {Communications in Computational Physics},
	series	 = {12 (1)},
	pages	 = {65--84},
	issn	 = {1815-2406},
	doi	 = {http://dx.doi.org/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.},
}