Numerical Simulation of Laminar Jet-Forced Flow Using a Lattice Boltzmann Method

LI Yuan; DUAN Ya-li; GUO Yan; LIU Ru-xun

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(4): 417-424

LI Yuan, DUAN Ya-li, GUO Yan, LIU Ru-xun. Numerical Simulation of Laminar Jet-Forced Flow Using a Lattice Boltzmann Method[J]. Applied Mathematics and Mechanics, 2009, 30(4): 417-424.

Citation:

LI Yuan, DUAN Ya-li, GUO Yan, LIU Ru-xun. Numerical Simulation of Laminar Jet-Forced Flow Using a Lattice Boltzmann Method[J]. Applied Mathematics and Mechanics, 2009, 30(4): 417-424.

Citation:

LI Yuan, DUAN Ya-li, GUO Yan, LIU Ru-xun. Numerical Simulation of Laminar Jet-Forced Flow Using a Lattice Boltzmann Method[J]. Applied Mathematics and Mechanics, 2009, 30(4): 417-424.

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Numerical Simulation of Laminar Jet-Forced Flow Using a Lattice Boltzmann Method

Department of Mathematics, University of Science and Technology of China, Hefei 230026, P. R. China

Received Date: 2008-07-19
Rev Recd Date: 2009-03-03
Publish Date: 2009-04-15

Abstract

Abstract

A numerical study on symmetrical and asymmetrical laminar jet-forced flows was presented by a lattice Boltzmann Method (LBM) with a special boundary treatment.The simulation results are in very good agreement with the available numerical prediction.It is shown that the LBM is a very competitive method for laminar jet-forced flow in terms of computational efficiency and stability.
- lattice Boltzmann method,
- shallow water equations,
- laminar jet-forced flow

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References(24)

References

[1]	Benzi R,Succi S,Vergassola M. The lattice Boltzmann equation: theory and applications[J].Physics Reports-Review Section of Physics Letters,1992,222(3):145-197.
[2]	Qian Y H,Dhumieres D,Lallemand P. Lattice BGK models for Navier-Stokes equation[J]. Europhysics Letters,1992,17(6):479-484. doi: 10.1209/0295-5075/17/6/001
[3]	Chen S,Doolen G D. Lattice Boltzmann method for fluid flows[J].Annual Review of Fluid Mechanics,1998,30:329-364. doi: 10.1146/annurev.fluid.30.1.329
[4]	DUAN Ya-li,LIU Ru-xun.Lattice Boltzmann model for two-dimensional unsteady Burgers' equation[J].Journal of Computational and Applied Mathematics,2007,206(1):432-439. doi: 10.1016/j.cam.2006.08.002
[5]	Duan Y L,Liu R X. Lattice Boltzmann simulations of triagular cavity flow and free-surface problems[J].Journal of Hydrodynamics,Ser B,2007,19(2):127-134. doi: 10.1016/S1001-6058(07)60038-9
[6]	Zhou J G. A lattice Boltzmann model for the shallow water equations[J].Computer Methods in Applied Mechanics and Engineering,2002,191(32):3527-3539. doi: 10.1016/S0045-7825(02)00291-8
[7]	Zhou J G. A Lattice Boltzmann model for the shallow water equations with turbulence modeling[J].International Journal of Modern Physics C,2002,13(8):1135-1150. doi: 10.1142/S0129183102003814
[8]	Zhou J G. An elastic-collision scheme for lattice Boltzmann methods[J]. International Journal of Modern Physics C,2001,12(3):387-401. doi: 10.1142/S0129183101001833
[9]	刘峰,胡非. 浅水动力学的格子Boltzmann模拟[J].海洋与湖沼,2004,35(1):35-40.
[10]	Thmmes G,Sead M,Banda M K. Lattice Boltzmann methods for shallow water flow applications[J].International Journal for Numerical Methods in Fluids,2007,55(7):673-692. doi: 10.1002/fld.1489
[11]	Dennis S C R. Application of the series truncation method to two-dimensional internal flows[A].In:Proc 4th Internat Conf in Numerical Methods in Fluid Dynamics[C]. New York:Springer,1974,146-151.
[12]	Borthwick A G L,Barber R W. River and reservoir modeling using the transformed shallow water equations[J].International Journal for Numerical Methods in Fluids,1992,14(10):1193-1217. doi: 10.1002/fld.1650141005
[13]	Vreugdenhil M J,Wijbenga J H A. Computation of flow patterns in rivers[J]. Journal of Hydraulic Division,Proc ASCE,1982,108(11):1296-1310.
[14]	Borthwick A G L,Barber R W. Numerical-simulation of jet-forced flow in a circular reservoir using discrete and random vortex methods[J].International Journal for Numerical Methods in Fluids,1992,14(12):1453-1472. doi: 10.1002/fld.1650141207
[15]	Anastasiou K,Chan C T. Solution of the 2D shallow water equations using the finite volume method on unstructured triangular meshes[J].International Journal for Numerical Methods in Fluids,1997,24(11):1225-1245. doi: 10.1002/(SICI)1097-0363(19970615)24:11<1225::AID-FLD540>3.0.CO;2-D
[16]	Rogers B,Fujihara M,Borthwick A G L. Adaptive Q-tree Godunov-type scheme for shallow water equations[J].International Journal for Numerical Methods in Fluids,2001,35(3):247-280. doi: 10.1002/1097-0363(20010215)35:3<247::AID-FLD89>3.0.CO;2-E
[17]	Aizinger V,Dawson C. A discontinuous Galerkin method for two-dimensional flow and transport in shallow water[J].Adv Water Resour,2002,25(1):67-84. doi: 10.1016/S0309-1708(01)00019-7
[18]	WANG Ji-wen,LIU Ru-xun.Combined finite volume-finite element method for shallow water equations[J].Computers and Fluids,2005,34(10):1199-1222. doi: 10.1016/j.compfluid.2004.09.008
[19]	Bhatnagar P,Gross E,Krook M. A model for collision processes in gas—Ⅰ:small amplitude processes in charged and neutral one-component system[J].Phys Rev,1954,94(3):511-525. doi: 10.1103/PhysRev.94.511
[20]	Rothmann D H,Zaleski S.Lattice-Gas Cellular Automata[M].Cambridge:Cambridge University Press,1997.
[21]	Zou Q S,He X Y. On pressure and velocity boundary conditions for the lattice Boltzmann BGK model[J].Physics of Fluids,1997,9(6):1591-1598. doi: 10.1063/1.869307
[22]	Behrend O. Solid-fluid boundaries in particle suspension simulations via the Boltzmann method[J].Physical Review E,1995,52(1):1164-1175. doi: 10.1103/PhysRevE.52.1164
[23]	Ladd A J C, Verberg R. Lattice Boltzmann simulations of particle-fluid suspensions[J].Journal of Statistical Physics,2001,104(5/6):1191-1251. doi: 10.1023/A:1010414013942
[24]	Mei R W,Luo L S,Shyy W. An accurate curved boundary treatment in the lattice Boltzmann method[J].Journal of Computational Physics,1999,155(2):307-330. doi: 10.1006/jcph.1999.6334