【摘要】 基于从动理学理论,针对两相流动通过严格的数值离散构建了一个稳定性好、适用性广的多松弛格子Boltzmann模型.该模型克服了原有单松弛模型的缺陷,能够计算不同Schmidt数以及大黏性比的两相流问题.文中通过一系列的数值算例验证了上述优点.同时,本文证实一种现有被广泛采用的伪势模型是多松弛格子Boltzmann模型的特例,这势必为该类模型奠定坚实的理论基础,并有助于其进一步发展.更多还原

【Abstract】 In this paper, a lattice Boltzmann equation(LBE) model with multiple-relaxation-time(MRT) collision operator is developed based on the Enskog theory for isothermal nonideal mixtures, which is an extension of the previous single relaxation time(SRT) LBE model(Guo and Zhao in Phys Rev E 68:035302, 2003). The present MRT-LBE model overcomes some inherent defects of the original SRT-LBE model such as the fixed Schmidt number and limited viscosity ratio. It is also interestingly shown that the widely used Shan-Chen(SC) model, which is constructed heuristically based on the pseudo-potential concept, can also be regarded as a special case of the present model, and thus putting a solid foundation for this well-accepted multiphase LBE model. A series of numerical simulations, including the static droplet and layered co-current flow, are conducted to test the applicability of the present model for immiscible fluids with different Schmidt numbers and large viscosity ratio, which may be difficult for the original SRT-LBE model and the SC model.更多还原