MRT lattice Boltzmann method for 2D flows in curvilinear coordinates

被引:18
|
作者
Budinski, Ljubomir [1 ]
机构
[1] Univ Novi Sad, Fac Tech Sci, Novi Sad 21000, Serbia
关键词
MRT lattice Boltzmann method; Curvilinear coordinates; Complex geometry; Shallow water equations; Navier-Stokes equations; BOUNDARY-CONDITIONS; CIRCULAR-CYLINDER; SHALLOW-WATER; MODEL; EQUATION; SIMULATIONS; FLUID; DISPERSION; GRIDS;
D O I
10.1016/j.compfluid.2014.03.007
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Objective: The objective of the presented paper is establishing the multi-relaxation-time lattice Boltzmann method (MRT-LBM) for solving 2D flow equations transformed in a curvilinear coordinate system. Method: Using the complete transformation approach - which includes transformation of both dependent and independent variables between the physical and computational domain-corresponding forms of the equilibrium function and of the force term for the 2D Navier-Stokes equations and the shallow water equations have been derived. The physical flow domain of arbitrary geometry in the horizontal plane, is covered with adequate curvilinear mesh, while the calculation procedure is carried out in the D2Q9 square lattice, applying the basic form of the boundary condition method on water-solid and open boundaries as well. Test cases: The method is tested using four different examples: Couette flow in a straight inclined channel, Taylor-Couette flow between two cylinders, a non-prismatic channel in a 1800 bend, and a segment of irrigation channel with a parabolic cross section in a 900 bend. In the cases of the bent channels, previously available velocity measurements have been used for validation of the model. In addition, the procedure employs a mathematical model based on traditional CFD procedures. Results: The remarkable agreement between the results obtained by the proposed model and the corresponding analytical values and measurements shows that the presented curvilinear form of the LBM is capable of solving very complex environmental problems, maintaining the order of accuracy, simplicity and efficiency of the basic LBM. (C) 2014 Elsevier Ltd. All rights reserved,
引用
收藏
页码:288 / 301
页数:14
相关论文
共 50 条
  • [31] IMPLEMENTATION OF FINITE-DIFFERENCE LATTICE BOLTZMANN METHOD ON GENERAL BODY-FITTED CURVILINEAR COORDINATES
    Li, Q.
    He, Y. L.
    Gao, Y. J.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2008, 19 (10): : 1581 - 1595
  • [32] Lattice Boltzmann model for complex Ginzburg-Landau equation in curvilinear coordinates
    Zhang, Jianying
    Yan, Guangwu
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 70 (12) : 2904 - 2919
  • [33] A CENTRAL DIFFERENCE FINITE VOLUME LATTICE BOLTZMANN METHOD FOR SIMULATION OF 2D INVISCID COMPRESSIBLE FLOWS ON TRIANGULAR MESHES
    Karbalaei, Alireza
    Hejranfar, Kazem
    PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, 2018, VOL 7, 2019,
  • [34] 2D vorticity and stream function solutions based on curvilinear coordinates
    Xie, XL
    Mar, WW
    THIRD INTERNATIONAL CONFERENCE ON EXPERIMENTAL MECHANICS, 2002, 4537 : 465 - 468
  • [35] Direct numerical simulations of the decaying turbulence in rotating flows via the MRT-lattice Boltzmann method
    Nie, Deming
    Lin, Jianzhong
    Qiu, Limin
    INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, 2013, 27 (03) : 173 - 183
  • [36] Mesoscopic lattice Boltzmann modeling of dense gas flows in curvilinear geometries
    Busuioc, Sergiu
    PHYSICAL REVIEW FLUIDS, 2024, 9 (05):
  • [37] Lattice Boltzmann Method for 2D Tidal Flow: Application to the Nador Lagoon
    Haddach, Ali
    Smaoui, Hassan
    Radi, Bouchaib
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2025,
  • [38] Numerical simulation of a 2D electrothermal pump by lattice Boltzmann method on GPU
    Ren, Qinlong
    Chan, Cho Lik
    NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 2016, 69 (07) : 677 - 693
  • [39] 2D Simulation Flue Implementing the Lattice-Boltzmann method.
    Bolivar Ruiz, David
    Aguirre Mesa, Andres
    Gomez Alvis, Rodrigo
    ADVANCES IN CIVIL ENGINEERING AND BUILDING MATERIALS III, 2014, 831 : 501 - +
  • [40] Lattice Boltzmann method to study hydrodynamic properties of 2D fractal aggregates
    Nguyen, HP
    Chopard, B
    Stoll, S
    COMPUTATIONAL SCIENCE - ICCS 2003, PT I, PROCEEDINGS, 2003, 2657 : 947 - 956