New Studying of Lattice Boltzmann Method for Two-Phase Driven in Porous Media

XU You-sheng; LIU Ci-qun; YU Hui-dan

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(4): 353-358

XU You-sheng, LIU Ci-qun, YU Hui-dan. New Studying of Lattice Boltzmann Method for Two-Phase Driven in Porous Media[J]. Applied Mathematics and Mechanics, 2002, 23(4): 353-358.

Citation:

XU You-sheng, LIU Ci-qun, YU Hui-dan. New Studying of Lattice Boltzmann Method for Two-Phase Driven in Porous Media[J]. Applied Mathematics and Mechanics, 2002, 23(4): 353-358.

Citation:

XU You-sheng, LIU Ci-qun, YU Hui-dan. New Studying of Lattice Boltzmann Method for Two-Phase Driven in Porous Media[J]. Applied Mathematics and Mechanics, 2002, 23(4): 353-358.

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New Studying of Lattice Boltzmann Method for Two-Phase Driven in Porous Media

1.
Institude of Mathematics & Physics & Information Science, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China;
2.
Institude of Porous Flow and Fluid Mechanics, Academia Sinica, Langfang, Hebei 065007, P. R. China;
3.
Department of Physics, University of Pennsylvania, Philadelphia 19104, USA

Received Date: 2001-05-08
Rev Recd Date: 2002-01-07
Publish Date: 2002-04-15

Abstract

Abstract

By using the interaction of particles, such as the physical principle of the same attractive each other and the different repulse each other, a new model of Lattice Boltzmann to simulate the two-phase driven in Porous Media was disscussed. The result shows effectively for the problem of two-phase driven in Porous Media. Furthermore, the method economizes on computer time, has less fluc tuation on boundary surface and takes no average measure.
- porous medium,
- two-phase driven,
- method of lattice Boltzmann(LBM)

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References(10)

References

[1]	Rothman D H,Keller J M.Immiscible cellular-autornation fluids[J].Journal of Statistical Physics,1988,52(4):1119-1127.
[2]	Lee T D,Yang C N.Statistical theory of equations of state and phase transition Ⅱ:lattice gas and using model[J].Physics Review,1952,87(2):410-419.
[3]	Hardy J,Pomeau Y,de Pazzis O.Time evolution of a two-dimension model system Ⅰ:Invariant states and time correlation functions[J].Journal Mathematical Physics,1973,14(12):1746-1759.
[4]	Frish U,Hasslacher B,Pomeau Y.Lattice-gas automata for the Navier-Stokes equation[J].Physical Review Letters,1986,56(14):1505-1508.
[5]	Bhatnagar P,Gross E P,Krook M K.A model for collision processes in gases I:Small amplitude processes in charged and neutral one-component systems[J].Physics Reviews,1954,94(3):515-525.
[6]	Frish U,dHumieres D,Hasslacher B,et al.Lattice gas hydrodynamics in two and three dimensions[J].Complex Systems,1987,1(2):649-707.
[7]	孔祥言.高等渗流力学[M].合肥:中国科技大学出版社,1999,38-39;298.
[8]	阎广武,胡守信,施卫平.用Lattice Boltzmann方法确定多孔介质的渗流率[J].计算物理,1997,14(1):63-67.
[9]	Shan X,Chen H.Lattice Boltzmann model for simulating flows with multiple phases and components[J].Physical Review E,1993,47(3):1815-1819.
[10]	Gunstensen A K,Rothman,Zaleski S,et al.Lattice Boltzmann model of immiscible fluids[J].Physics Review A,1991,43(8):4320-4327.