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Computation 2016, 4(4), 38; doi:10.3390/computation4040038

Steady-State Anderson Accelerated Coupling of Lattice Boltzmann and Navier–Stokes Solvers

Department of Informatics, Technical University of Munich, Boltzmannstraße 3, 85748 Garching, Germany
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Author to whom correspondence should be addressed.
Academic Editor: Christian F. Janßen
Received: 20 July 2016 / Revised: 26 September 2016 / Accepted: 8 October 2016 / Published: 17 October 2016
(This article belongs to the Special Issue CFD: Recent Advances in Lattice Boltzmann Methods)
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Abstract

We present an Anderson acceleration-based approach to spatially couple three-dimensional Lattice Boltzmann and Navier–Stokes (LBNS) flow simulations. This allows to locally exploit the computational features of both fluid flow solver approaches to the fullest extent and yields enhanced control to match the LB and NS degrees of freedom within the LBNS overlap layer. Designed for parallel Schwarz coupling, the Anderson acceleration allows for the simultaneous execution of both Lattice Boltzmann and Navier–Stokes solver. We detail our coupling methodology, validate it, and study convergence and accuracy of the Anderson accelerated coupling, considering three steady-state scenarios: plane channel flow, flow around a sphere and channel flow across a porous structure. We find that the Anderson accelerated coupling yields a speed-up (in terms of iteration steps) of up to 40% in the considered scenarios, compared to strictly sequential Schwarz coupling. View Full-Text
Keywords: Anderson acceleration; Lattice Boltzmann; Navier–Stokes; parallel coupling Anderson acceleration; Lattice Boltzmann; Navier–Stokes; parallel coupling
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Atanasov, A.; Uekermann, B.; Pachajoa Mejía, C.A.; Bungartz, H.-J.; Neumann, P. Steady-State Anderson Accelerated Coupling of Lattice Boltzmann and Navier–Stokes Solvers. Computation 2016, 4, 38.

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