Modified Baer-Nunziato Model for the Simulation of Interfaces Between Compressible Fluids

Modified Baer-Nunziato Model for the Simulation of Interfaces Between Compressible Fluids
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用于模拟可压缩流体之间界面的改进 Baer-Nunziato 模型

DOI:
10.4208/cicp.020809.130910a
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发表时间:
2011-04
影响因子:
3.7
通讯作者:
Mao, De-Kang
Mao, De-Kang
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Wu, Qiang;Lu, Xian-Guo;Mao, De-Kang

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本文提出了一种改进的可压缩多流体流动的Baer-Nunziato模型,主要关注两种流体之间的能量交换。该模型由11个偏微分方程组成;然而,使用特定的阶段演化变量可能会使模型减少到只有六个偏微分方程。该模型的主要优点是既满足Abgrall关于混合速度和压力的UPV准则,又不影响其双曲性,也不影响其两个个体质量、动量或总能量的守恒。针对所提模型的一个特殊情况,建立了一个拉克斯-弗里德里希方案。当混合流体中的两种流体均为线性Mie-Gruneisen型时,该方案满足Abgrall关于混合速度和压力的UPV准则。对多向、正压、加强型和范德华流体的数值实验表明,该格式是有效的,能够处理具有不同热力学特征的流体。AMS学科分类:65M06、35L65、76N15、76M10
In this paper we proposed a modified Baer-Nunziato model for compressible multi-fluid flows, with main attention on the energy exchange between the two fluids. The proposed model consists of eleven PDEs; however, the use of the particular phase evolving variables may reduce the model to have only six PDEs. The main advantage of the model is that the Abgrall’s UPV criterion on mixture velocity and pressure is satisfied without affecting either its hyperbolicity or its conservations of the two individual masses, momentum or total energy. An Lax-Friedrichs scheme is built for a particular case of the proposed model. When the two fluids in the fluid mixture are both of the linear Mie-Gruneisen type, the scheme satisfies the Abgrall’s UPV criterion on mixture velocity and pressure. Numerical experiments with polytropic, barotropic, stiffened and van der Waals fluids show that the scheme is efficient and able to treat fluids characterized with quite different thermodynamics. AMS subject classifications: 65M06, 35L65, 76N15, 76M10
DOI: 10.1006/jcph.2001.6801
发表时间: 2001-08
影响因子: 4.1
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