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Regularized characteristic boundary conditions for the Lattice-Boltzmann methods at high Reynolds number flows

Wissocq, Gauthier
Gourdain, Nicolas
Eyssartier, Alexandre
Published in Journal of computational physics. 2017, vol. 331, p. 1-18
Abstract This paper reports the investigations done to adapt the Characteristic Boundary Conditions (CBC) to the Lattice-Boltzmann formalism for high Reynolds number applications. Three CBC formalisms are implemented and tested in an open source LBM code: the baseline local one-dimension inviscid (BL-LODI) approach, its extension including the effects of the transverse terms (CBC-2D) and a local streamline approach in which the problem is reformulated in the incident wave framework (LS-LODI). Then all implementations of the CBC methods are tested for a variety of test cases, ranging from canonical problems (such as 2D plane and spherical waves and 2D vortices) to a 2D NACA profile at high Reynolds number (Re = 105), representative of aeronautic applications. The LS-LODI approach provides the best results for pure acoustics waves (plane and spherical waves). However, it is not well suited to the outflow of a convected vortex for which the CBC-2D associated with a relaxation on density and transverse waves provides the best results. As regards numerical stability, a regularized adaptation is necessary to simulate high Reynolds number flows. The so-called regularized FD (Finite Difference) adaptation, a modified regularized approach where the off-equilibrium part of the stress tensor is computed thanks to a finite difference scheme, is the only tested adaptation that can handle the high Reynolds computation.
Keywords Lattice Boltzmann methodCharacteristic boundary conditionsLODIHigh Reynolds number flows
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Other version: http://linkinghub.elsevier.com/retrieve/pii/S0021999116306295
Research group Scientific and Parallel Computing
(ISO format)
WISSOCQ, Gauthier et al. Regularized characteristic boundary conditions for the Lattice-Boltzmann methods at high Reynolds number flows. In: Journal of Computational Physics, 2017, vol. 331, p. 1-18. doi: 10.1016/j.jcp.2016.11.037 https://archive-ouverte.unige.ch/unige:97527

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Deposited on : 2017-10-10

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