The meshless local Petrov-Galerkin cumulant lattice Boltzmann method: strengths and weaknesses in aeroacoustic analysis

被引:0
作者
Gorakifard, Mohsen [1 ]
Saluena, Clara [1 ]
Cuesta, Ildefonso [1 ]
Far, Ehsan Kian [2 ]
机构
[1] Rovira & Virgili Univ, Dept Mech Engn, ETSEQ, Paisos Catalans 26, Tarragona 43007, Spain
[2] Siemens Digital Ind Software, Nottingham, England
关键词
POINT INTERPOLATION METHOD; FINITE-DIFFERENCE METHOD; EQUATION;
D O I
暂无
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The lattice Boltzmann method (LBM) suffers from an instability at low viscosities and from having to compromise between accuracy and computational efficiency due to its lattice uniformity. Thus, in this paper, the meshless local Petrov-Galerkin cumulant lattice Boltzmann method (MLPGC-LBM) is proposed to remedy these shortcomings. The collision step is modeled by the cumulant method, stable at low viscosities, and the streaming step is discretized first in time based on the Lax-Wendroff scheme, then in space according to the meshless local Petrov-Galerkin method, a mesh-free method (MLPG). To substantiate the accuracy of this method in aeroacoustics, the temporal decay of a standing plane wave, the spatial decay of a planar acoustic pulse, and the propagation of circular waves are considered, and the results are compared with numerical and analytical solutions. The comparisons show that MLPGC-LBM presents better results than standard LB methods, replicating the local radial point interpolation cumulant lattice Boltzmann method (LRPIC-LBM) results with relatively shorter runtimes, and being in a good agreement with the analytical solutions. The errors of the acoustic dispersion and dissipation are irrelevant, even for quite low resolutions. Therefore, MLPGC-LBM can offer an alternative to conventional aeroacoustics simulations alongside LRPIC-LBM with shorter runtimes, without parametric dependency on the number of points per wavelength and the resolution
引用
收藏
页码:1467 / 1483
页数:17
相关论文
共 52 条
  • [1] A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    Atluri, SN
    Zhu, T
    [J]. COMPUTATIONAL MECHANICS, 1998, 22 (02) : 117 - 127
  • [2] Bres G., 15 AIAACEAS AEROACOU, DOI DOI 10.2514/6.2009-3395
  • [3] Numerical study of slightly viscous flow
    Chorin, Alexandre Joel
    [J]. JOURNAL OF FLUID MECHANICS, 1973, 57 : 785 - 796
  • [4] Far EK, 2017, COMPUTATION, V5, DOI 10.3390/computation5020023
  • [5] Simulation of micro aggregate breakage in turbulent flows by the cumulant lattice Boltzmann method
    Far, Ehsan Kian
    Geier, Martin
    Kutscher, Konstantin
    Krafczyk, Manfred
    [J]. COMPUTERS & FLUIDS, 2016, 140 : 222 - 231
  • [6] Distributed cumulant lattice Boltzmann simulation of the dispersion process of ceramic agglomerates
    Far, Ehsan Kian
    Geier, Martin
    Kutscher, Konstantin
    Krafczyk, Manfred
    [J]. JOURNAL OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING, 2016, 16 (02) : 231 - 252
  • [7] FAR EK, 2021, SYMMETRY
  • [8] FAR EK, 2018, COMPUT MATH APPL
  • [9] Far K., 2016, P 13 INT C MES METH, V22
  • [10] Far K., 2019, P FORMULA X, V24