Lattice Boltzmann method for computational aeroacoustics on non-uniform meshes: A direct grid coupling approach

Astoul, Thomas; Wissocq, Gauthier; Boussuge, Jean‐François; Sengissen, Alois; Sagaut, Pierre

doi:10.1016/j.jcp.2021.110667

Cited by 28 publications

(11 citation statements)

References 55 publications

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“…the D2Q9 scheme) to be found in the available literature, arising from the applications. We also tested 1 our approach against the two-dimensional acoustic pulse test case from [1,9] yielding results -not presented in this note -fully compatible with the simpler analysis introduced here.…”

Section: Introductionmentioning

confidence: 91%

Does the multiresolution lattice Boltzmann method allow to deal with waves passing through mesh jumps?

Bellotti¹,

Gouarin²,

Graille³

et al. 2022

Comptes Rendus. Mathématique

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We consider an adaptive multiresolution-based lattice Boltzmann scheme, which we have recently introduced and studied from the perspective of the error control and the theory of the equivalent equations. This numerical strategy leads to high compression rates, error control and its high accuracy has been explained on uniform and dynamically adaptive grids. However, one key issue with non-uniform meshes within the framework of lattice Boltzmann schemes is to properly handle acoustic waves passing through a level jump of the grid. It usually yields spurious effects, in particular reflected waves. In this paper, we propose a simple mono-dimensional test-case for the linear wave equation with a fixed adapted mesh characterized by a potentially large level jump. We investigate this configuration with our original strategy and prove that we can handle and control the amplitude of the reflected wave, which is of fourth order in the space step of the finest mesh. Numerical illustrations show that the proposed strategy outperforms the existing methods in the literature and allow to assess the ability of the method to handle the mesh jump properly.

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Section: Introductionmentioning

confidence: 91%

Does the multiresolution lattice Boltzmann method allow to deal with waves passing through mesh jumps?

Bellotti¹,

Gouarin²,

Graille³

et al. 2022

Comptes Rendus. Mathématique

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“…There are numerous methods of treating the communication between two zones of different refinement. Here, the Direct Coupling (DC) algorithm of Astoul et al is used 29 .…”

Section: F Transition Algorithmsmentioning

confidence: 99%

Large eddy simulation of a thermal impinging jet using the lattice Boltzmann method

et al. 2022

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A compressible Hybrid Lattice Boltzmann Method solver is used to perform a wall-resolved Large eddy simulation of an isothermal axisymmetric jet issuing from a pipe and impinging on a heated flat plate at a Reynolds number of 23 000, a Mach number of 0.1, and an impingement distance of two jet diameters. The jet flow field statistics, Nusselt number profile (including the secondary peak), and shear stress profile were well reproduced. The azimuthal coherence of the primary vortical structures was relatively low, leading to no discernible temporal periodicity of the azimuthally averaged Nusselt number at the location of the secondary peak. While local unsteady near-wall flow separation was observed in the wall jet, this flow separation did not exhibit azimuthal coherence and was not found to be the only cause of the thermal spots blue, which lead to the secondary peak in the Nusselt number, as stream-wise oriented structures also played a significant role in increasing the local heat transfer.

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“…To handle mesh refinement, a Direct-Coupling (DC) algorithm is employed [25]. By ensuring mass and momentum conservation at the transition nodes, a singular equilibrium distribution function is computed to recover the missing distributions at both coarse and fine sides.…”

Section: Prolbmentioning

confidence: 99%

Comparison of a finite volume and two Lattice Boltzmann solvers for swirled confined flows

et al. 2022

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Lattice Boltzmann method for computational aeroacoustics on non-uniform meshes: A direct grid coupling approach

Cited by 28 publications

References 55 publications

Does the multiresolution lattice Boltzmann method allow to deal with waves passing through mesh jumps?

Does the multiresolution lattice Boltzmann method allow to deal with waves passing through mesh jumps?

Large eddy simulation of a thermal impinging jet using the lattice Boltzmann method

Comparison of a finite volume and two Lattice Boltzmann solvers for swirled confined flows

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