Two-dimensional finite-difference lattice Boltzmann method for the complete Navier-Stokes equations of binary fluids

Two-dimensional finite-difference lattice Boltzmann method for the complete Navier-Stokes equations of binary fluids
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DOI:
10.1209/epl/i2004-10334-y
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发表时间:
2004-10
期刊:
EPL
影响因子:
1.8
通讯作者:
A. Xu
A. Xu
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
A. Xu

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基于Sirovich双流体运动理论,基于十二方离散速度模型,建立了求解二元流体完整N-S方程的二维61速有限差分格子Boltzmann方法。在大多数现有的格子Boltzmann方法中,以前对所研究系统的约束,如等温和几乎不可压缩,在本方法中被释放。这种方法是用来模拟可压缩和热的双流体混合物的。通过对两个分量的均匀松弛过程和Couette流的研究,验证了该方法的有效性。
Based on Sirovich's two-fluid kinetic theory and on a dodecagonal discrete-velocity model, a two-dimensional 61-velocity finite-difference lattice Boltzmann method for the complete Navier-Stokes equations of binary fluids is formulated. Previous constraints, in most existing lattice Boltzmann methods, on the studied systems, like isothermal and nearly incompressible, are released within the present method. This method is designed to simulate compressible and thermal binary-fluid mixtures. The validity of the proposed method is verified by investigating i) the Couette flow and ii) the uniform relaxation process of the two components.