A high-order accurate unstructured spectral difference lattice Boltzmann method for computing inviscid and viscous compressible flows

被引:9
|
作者
Hejranfar, Kazem [1 ]
Ghaffarian, Ali [1 ]
机构
[1] Sharif Univ Technol, Aerosp Engn Dept, Tehran, Iran
关键词
LB equation; Spectral difference method; Inviscid and viscous compressible flows; Unstructured meshes; Complex geometries; VOLUME METHOD; SIMULATION; IMPLEMENTATION; EQUATION; CYLINDERS; EXTENSION; SCHEMES; ELEMENT; SOLVER; MODEL;
D O I
10.1016/j.ast.2019.105661
中图分类号
V [航空、航天];
学科分类号
08 ; 0825 ;
摘要
In the present work, the spectral difference lattice Boltzmann method (SDLBM) is implemented on unstructured meshes for the solution methodology to be capable of accurately simulating the compressible flows over complex geometries. Both the inviscid and viscous compressible flows are computed by applying the unstructured SDLBM. The compressible form of the discrete Boltzmann-BGK equation with the Watari model is considered and the solution of the resulting system of equations is obtained by applying the spectral difference method on arbitrary quadrilateral meshes. The accuracy and robustness of the unstructured SDLBM for simulating the compressible flows are demonstrated by simulating four problems that are steady inviscid supersonic flow past a bump, steady inviscid subsonic flow over the two-element NACA 4412-4415 airfoil with and without the ground effect, steady viscous transonic flow around the NACA 0012 airfoil and unsteady viscous subsonic flow past two side-by-side cylinders. The results obtained by applying the unstructured SDLBM are in good agreement with those of the available high-order accurate Euler/Navier-Stokes solvers and also the experimental data. The present study introduces the unstructured SDLBM as an appropriate inviscid and viscous compressible LBM flow solver for accurately simulating fluid flows over practical problems. (C) 2019 Elsevier Masson SAS. All rights reserved.
引用
收藏
页数:15
相关论文
共 50 条
  • [1] A spectral difference lattice Boltzmann method for solution of inviscid compressible flows on structured grids
    Hejranfar, Kazem
    Ghaffarian, Ali
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 72 (05) : 1341 - 1368
  • [2] Implicit High-Order Spectral Finite Volume Method for Inviscid Compressible Flows
    Breviglieri, Carlos
    Azevedo, Joao Luis F.
    Basso, Edson
    Souza, Maximiliano A. F.
    [J]. AIAA JOURNAL, 2010, 48 (10) : 2365 - 2376
  • [3] A high-order accurate unstructured finite volume Newton-Krylov algorithm for inviscid compressible flows
    Nejat, Amir
    Ollivier-Gooch, Carl
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2008, 227 (04) : 2582 - 2609
  • [4] High-order upwind compact finite-difference lattice Boltzmann method for viscous incompressible flows
    Sun, Y. X.
    Tian, Z. F.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2020, 80 (07) : 1858 - 1872
  • [5] A new high-order spectral difference method for simulating viscous flows on unstructured grids with mixed-element meshes
    Li, Mao
    Qiu, Zihua
    Liang, Chunlei
    Sprague, Michael
    Xu, Min
    Garris, Charles A.
    [J]. COMPUTERS & FLUIDS, 2019, 184 : 187 - 198
  • [6] Construction of the High Order Accurate Generalized Finite Difference Schemes for Inviscid Compressible Flows
    Li, Xue-Li
    Ren, Yu-Xin
    Li, Wanai
    [J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 25 (02) : 481 - 507
  • [7] High-order implicit RBF-based differential quadrature-finite volume method on unstructured grids: Application to inviscid and viscous compressible flows
    Liu, Y. Y.
    Shu, C.
    Yang, L. M.
    Liu, Y. G.
    Liu, W.
    Zhang, Z. L.
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2023, 478
  • [8] A high-order spectral difference method for unstructured dynamic grids
    Yu, M. L.
    Wang, Z. J.
    Hu, H.
    [J]. COMPUTERS & FLUIDS, 2011, 48 (01) : 84 - 97
  • [9] A Contact SPH Method with High-Order Limiters for Simulation of Inviscid Compressible Flows
    Zhang, Xueying
    Tian, Haiyan
    Kuo, Leihsin
    Chen, Wen
    [J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2013, 14 (02) : 425 - 442
  • [10] A high-order implicit-explicit flux reconstruction lattice Boltzmann method for viscous incompressible flows
    Ma, Chao
    Wu, Jie
    Yu, Haichuan
    Yang, Liming
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, 105 : 13 - 28