Aerodynamic Simulation of Low Mach Turbulent Jets with Lattice Boltzmann Models

Affiliation(s)

School of Energy and Power Engineering, Huazhong University of Science & Technology, Wuhan, China.

School of Energy and Power Engineering, Huazhong University of Science & Technology, Wuhan, China.

ABSTRACT

The lattice Boltzmann method (LBM) is a numerical simplification of the Boltzmann equation of the kinetic theory of gases that describes fluid motions by tracking the evolution of the particle velocity distribution function based on linear streaming with nonlinear collision. To verify the reliability and accuracy of the model simulation of incompressible fluid flow, we program to simulate two-dimensional Poiseuille flow which has the analytical solution by using the three mode: D2Q9 model, He-Luo model, Guo model (D

Cite this paper

Y. Tu, S. Shishuai Zhang, J. Xie and K. Wu, "Aerodynamic Simulation of Low Mach Turbulent Jets with Lattice Boltzmann Models,"*Open Journal of Fluid Dynamics*, Vol. 2 No. 4, 2012, pp. 264-270. doi: 10.4236/ojfd.2012.24A031.

Y. Tu, S. Shishuai Zhang, J. Xie and K. Wu, "Aerodynamic Simulation of Low Mach Turbulent Jets with Lattice Boltzmann Models,"

References

[1] U. Frish, B. Hassalacher, Y. Pomeau, “Lattice-Gas Automata for the Navier-Stokes Equation,” Physical Review Letters, Vol. 56, No. 14, 1986, 1505-1508.

[2] M. Hénon, “Implementation of the FCHC Lattice Gas Model on the Connection Machine,” Journal of Statistical Physics, Vol. 68, No. 3-4, 1992, pp. 353-377. doi:10.1007/BF01341753

[3] G. R. McNamara and G. Zanetti, “Use of Boltzmann Equation to Simulate Lattice Gas Automata,” Physical Review Letters, Vol. 61, No. 20, 1988, pp. 2332-2335. doi:10.1103/PhysRevLett.61.2332

[4] Z. L. Guo, B. C. Shi and C. G. Zheng, “A Coupled LBGK Model for the Boussinesq Equations,” International Journal for Numerical Methods in Fluids, Vol. 39, No. 4, 2002, pp. 325-342. doi:10.1002/fld.337

[5] M. A. Moussaoui, M. Jami, A. Mezrhab and H. Naji, “MRT-Lattice Boltzmann Simulation of Forced Convection in a Plane Channel with an Inclined Square Cylinder,” International Journal of Thermal Sciences, Vol. 49, No. 1, 2010, pp. 131-142. doi:10.1016/j.ijthermalsci.2009.06.009

[6] Y. H. Qian, D. D’Humières, P. Lallemand, “Lattice BGK Models for Navier-Stokes Equation,” Europhysics Letters, Vol. 17, No. 6, 1992, pp. 479-484. doi:10.1209/0295-5075/17/6/001

[7] Q. Zou, S. Hou, S. Chen and G. D. Doolen, “An Improved Incompressible Lattice Boltzmann Model for Time-Independent Flow,” Journal of Statistical Physics, Vol. 81, No. 1-2, 1995, pp. 35-48. doi:10.1007/BF02179966

[8] Y. Chen and H. Ohashi, Lattice-BGK Methods for Simulating Incompressible Fluid Flows,” International Journal of Modern Physics C, Vol. 8, No. 4, 1997, pp. 793-803. doi:10.1142/S0129183197000680

[9] X. Y. He and L.-S. Luo, “Lattice Boltzmann Model for the Incompressible Navier-Stokes Equation,” Journal of Statistical Physics, Vol. 88, No. 3, 1997, pp. 927-944. doi:10.1023/B:JOSS.0000015179. 12689.e4

[10] Z. L. Guo, B. C. Shi and N. C. Wang, “Lattice BGK Model for Incompressible Navier-Stokes Equation,” Journal of Computational Physics, Vol. 165, No. 1, 2000, pp. 288-306. doi:10.1006/jcph.2000.6616

[11] Q. S. Zou and X. Y. He, “On Pressure and Velocity Boundary Conditions for the Lattice Boltzmann BGK Model,” Physics of Fluids, Vol. 9, No. 6, 1997, pp. 15911598.

[12] W. R. Quinn and J. Militzer, “Experimental and Numerical Study of a Turbulent Free Square Jet,” Physics of Fluids, Vol. 31, No. 5, 1988, pp. 1017-1025. doi:10.1063/1.867007

[13] E. Laurendeau, J. P. Bonnet, P. Jordan and J. Delville, “Impact of Fluidic Chevrons on the Turbulence Structure of a Subsonic Jet,” 3rd AIAA Flow Control Conference, San Francisco, 5-8 June 2006, 13 pp.

[1] U. Frish, B. Hassalacher, Y. Pomeau, “Lattice-Gas Automata for the Navier-Stokes Equation,” Physical Review Letters, Vol. 56, No. 14, 1986, 1505-1508.

[2] M. Hénon, “Implementation of the FCHC Lattice Gas Model on the Connection Machine,” Journal of Statistical Physics, Vol. 68, No. 3-4, 1992, pp. 353-377. doi:10.1007/BF01341753

[3] G. R. McNamara and G. Zanetti, “Use of Boltzmann Equation to Simulate Lattice Gas Automata,” Physical Review Letters, Vol. 61, No. 20, 1988, pp. 2332-2335. doi:10.1103/PhysRevLett.61.2332

[4] Z. L. Guo, B. C. Shi and C. G. Zheng, “A Coupled LBGK Model for the Boussinesq Equations,” International Journal for Numerical Methods in Fluids, Vol. 39, No. 4, 2002, pp. 325-342. doi:10.1002/fld.337

[5] M. A. Moussaoui, M. Jami, A. Mezrhab and H. Naji, “MRT-Lattice Boltzmann Simulation of Forced Convection in a Plane Channel with an Inclined Square Cylinder,” International Journal of Thermal Sciences, Vol. 49, No. 1, 2010, pp. 131-142. doi:10.1016/j.ijthermalsci.2009.06.009

[6] Y. H. Qian, D. D’Humières, P. Lallemand, “Lattice BGK Models for Navier-Stokes Equation,” Europhysics Letters, Vol. 17, No. 6, 1992, pp. 479-484. doi:10.1209/0295-5075/17/6/001

[7] Q. Zou, S. Hou, S. Chen and G. D. Doolen, “An Improved Incompressible Lattice Boltzmann Model for Time-Independent Flow,” Journal of Statistical Physics, Vol. 81, No. 1-2, 1995, pp. 35-48. doi:10.1007/BF02179966

[8] Y. Chen and H. Ohashi, Lattice-BGK Methods for Simulating Incompressible Fluid Flows,” International Journal of Modern Physics C, Vol. 8, No. 4, 1997, pp. 793-803. doi:10.1142/S0129183197000680

[9] X. Y. He and L.-S. Luo, “Lattice Boltzmann Model for the Incompressible Navier-Stokes Equation,” Journal of Statistical Physics, Vol. 88, No. 3, 1997, pp. 927-944. doi:10.1023/B:JOSS.0000015179. 12689.e4

[10] Z. L. Guo, B. C. Shi and N. C. Wang, “Lattice BGK Model for Incompressible Navier-Stokes Equation,” Journal of Computational Physics, Vol. 165, No. 1, 2000, pp. 288-306. doi:10.1006/jcph.2000.6616

[11] Q. S. Zou and X. Y. He, “On Pressure and Velocity Boundary Conditions for the Lattice Boltzmann BGK Model,” Physics of Fluids, Vol. 9, No. 6, 1997, pp. 15911598.

[12] W. R. Quinn and J. Militzer, “Experimental and Numerical Study of a Turbulent Free Square Jet,” Physics of Fluids, Vol. 31, No. 5, 1988, pp. 1017-1025. doi:10.1063/1.867007

[13] E. Laurendeau, J. P. Bonnet, P. Jordan and J. Delville, “Impact of Fluidic Chevrons on the Turbulence Structure of a Subsonic Jet,” 3rd AIAA Flow Control Conference, San Francisco, 5-8 June 2006, 13 pp.