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

Wissocq, Gauthier and Gourdain, Nicolas and Malaspinas, Orestis and Eyssartier, Alexandre Regularized characteristic boundary condition for the Lattice Boltzmann methods at high Reynolds number flows. (2017) Journal of Computational Physics, 331. 1-18. ISSN 0021-9991

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Official URL: http://dx.doi.org/10.1016/j.jcp.2016.11.037

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 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 = 100,000), 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 increase the Reynolds number. The so-called regularized FD 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.

Item Type:Article
HAL Id:hal-01434788
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Other partners > ALTRAN (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Other partners > Université de Genève (SWITZERLAND)
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Deposited By: Nicolas GOURDAIN
Deposited On:13 Jan 2017 12:54

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