Vergnault, E.; Malaspinas, O.; Sagaut, P. A lattice Boltzmann method for nonlinear disturbances around an arbitrary base flow. (English) Zbl 1284.76310 J. Comput. Phys. 231, No. 24, 8070-8082 (2012). Summary: In this paper we address the problem of the time evolution of a perturbation around a steady base flow with the use of the lattice Boltzmann method (LBM). This approach, named base flow lattice Boltzmann method, is of great interest in particular for aeroacoustic fields where the acoustic perturbation, on the one hand, is almost exclusively influenced by the large scale average structures of the underlying flow, and on the other hand, has a low effect on the large structures. The method is implemented for weakly compressible flows and the results of the base flow lattice Boltzmann are compared with the standard single relaxation time LBM. 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