| X. Shan and H. Chen. Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation. Physical Review E, 49(4):2941--2948, 1994. |
....predicted from the Maxwell construction. The particle interaction with nearby repulsion and long ranged attraction can naturally give the phase transition and surface tension properties [16, 7] Based on the particle interaction pictures, many Lattice Boltzmann schemes have been developed, see [20, 21, 26, 9, 17, 3] and refences therein, and the particle interaction mechanism is used to capture both multifluid interface and phase transition process. Recently, combining the macroscopic van der Waals equation of state (EOS) and the mesoscopic Lattice Boltzmann method, He et al. developed an interesting scheme ....
X. Shan and H. Chen, Simulation of Non-ideal Gases and Liquid-gas Phase Transitions by the Lattice Boltzmann Equation, Phys. Rev. E, 49 (1994), pp. 2941.
....in achieving high Reynolds number flows 3 . The simulation of high Reynolds flow by a quantum lattice gas is investigated in volume III [102] Areas of lattice gas research include: hydrodynamics and thermohydrodynamics [26, 34, 43, 2, 67] immiscible fluids [75, 25, 46, 45] multiphase systems [21, 4, 3, 5, 103, 44, 77, 99, 98, 78], reaction di#usion systems [31, 57, 53] magnetohydrodynamics [23, 24, 27, 66] flow through porous media [74, 28] renormalized kinetic theory [55, 17, 50, 18, 92, 70, 12] and quantum dynamics [83, 84, 104] A good review of the lattice gas subject, with particular emphasis on interfaces, ....
Xiaowen Shan and Hudong Chen. Simulation of nonideal gases and liquidgas phase transitions by the lattice boltzmann equation. Physical Review E, 49(4):2941--2948, 1994. 182
....BGK models for compressible fluid dynamics have been proposed by Alexander, H. Chen, S. Chen, and Doolen [77] and for hydrothermal fluid dynamics by Alexander, Chen, and Sterling [82] The lattice Boltzmann method was extended to the simulation of multiphase and multispecies applications by Shan [83, 84, 85, 86], Grunau [87] and Yeomens et al. 88, 89] Because of the practicality of the lattice Boltzmann method, I have explored ways to restore detailed balance to the scheme [72, 73] In particular, the factorized quantum lattice gas, which is a lattice Boltzmann algorithm, has an unconditionally stable ....
Xiaowen Shan and Hudong Chen. Simulation of nonideal gases and liquidgas phase transitions by the lattice boltzmann equation. Physical Review E, 49(4):2941--2948, 1994.
....gas replacing Boolean bits with real floating point numbers, models the particle kinetics directly at the mesoscopic level [19] There are fluctuations in the Boltzmann gas also, but they have smaller sizes. Although widely used nowadays and already applied to many important numerical applications [58, 59, 60, 57], the lattice Boltzmann method su#ers from numerical instabilities typically encountered in finite di#erence methods. The reason for this comes about by the method s lack of detailed balance, or even its lack of the weaker condition of semi detailed balance, in its BGK collision operator. 13 ....
Xiaowen Shan and Hudong Chen. Simulation of nonideal gases and liquidgas phase transitions by the lattice boltzmann equation. Physical Review E, 49(4):2941--2948, 1994.
No context found.
X. Shan and H. Chen. Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation. Physical Review E, 49(4):2941--2948, 1994.
No context found.
X. Shan and H. Chen. Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation. Phys. Rev. E, 49:2941, 1994.
No context found.
X. Shan and H. Chen, Simulations of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation, Phys. Rev. E, 49 (1994), pp. 2941--2948.
No context found.
Xiaowen Shan and Hudong Chen. Simulation of nonideal gases and liquid-gas phase transitions by the lattice boltzmann equation. Physical Review E, 49(4):2941--2948, 1994.
No context found.
Xiaowen Shan and Hudong Chen. Simulation of nonideal gases and liquidgas phase transitions by the lattice boltzmann equation. Physical Review E, 49(4):2941--2948, 1994. 182
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