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Comparison and evaluation of Shan-Chen model and most commonly used equations of state in multiphase lattice Boltzmann method

机译:山辰模型与多相晶格Boltzmann方法的最常用方程的比较与评价

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A method to couple the Equation of State (EoS) with the Shan-Chen model (SC) is proposed in this paper. The difference between previously proposed approaches and the one developed here is in the manner of determining parameters of the EoS, which are a function of the critical properties of a substance. The modified relationships of the parameter that controls the strength of the inter-particle force as a function of temperature are developed for each EoS. These modified relationships eliminate the difference between pressures calculated by the SC model and each EoS. A comparison between the SC model and different popular EoSs is presented based on the proposed approach. Four models-the SC model, van der Waals EoS, Redlich-Kwong EoS, and Carnahan and Starling' EoS-are evaluated and compared, and the sign of the strength-controlling parameter (G) is discussed. The effects of the range of coexistence density, an arbitrary constant (rho(0)), temperature, and G on surface tension are discussed. The results of simulations show that the SC model sometimes yields negative values of surface tension when rho(0) is set below 1.5. Therefore, rho(0) should be set to 1 or >= 1.5. (C) 2020 Elsevier Ltd. All rights reserved.
机译:本文提出了一种将状态(EOS)与Shan-Chen模型(SC)结合的方法。以前提出的方法与这里开发的差异以确定EOS的参数的方式,这是物质的关键性质的函数。为每个EOS开发了控制作为温度函数的颗粒力强度的参数的修改关系。这些修改的关系消除了SC模型和每个EOS计算的压力之间的差异。基于所提出的方法,介绍了SC模型和不同流行的eoss之间的比较。四种型号 - SC模型,van der Waals EOS,Redlich-kwong EOS和Carnahan和椋鸟'EOS-被评估并进行比较,并且讨论了强度控制参数(G)的符号。讨论了共存密度范围,任意常数(Rho(0)),温度和G表面张力的影响。仿真结果表明,当rho(0)设置在1.5以下时,SC模型有时有时会产生表面张力的负值。因此,rho(0)应设置为1或> = 1.5。 (c)2020 elestvier有限公司保留所有权利。

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