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Scientific article
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English

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

Published inJournal of Computational Physics, vol. 331, p. 1-18
Publication date2017
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 method
  • Characteristic boundary conditions
  • LODI
  • High Reynolds number flows
Citation (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
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Identifiers
ISSN of the journal0021-9991
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Technical informations

Creation10/05/2017 12:37:00 PM
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