Compressible multiphase particle-in-cell method (CMP-PIC) for full pattern flows of gas-particle system

Compressible multiphase particle-in-cell method (CMP-PIC) for full pattern flows of gas-particle system
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用于气体-颗粒系统全模式流动的可压缩多相颗粒细胞方法 (CMP-PIC)

DOI:
10.1016/j.jcp.2020.109602
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发表时间:
2020-10
影响因子:
4.1
通讯作者:
Xue Kun
Xue Kun
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Tian Baolin;Zeng Junsheng;Meng Baoqing;Chen Qian;Guo Xiaohu;Xue Kun

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气固两相系统中的可压缩多相流经常出现在许多工程应用和自然现象中。本研究致力于开发一种新的方法,即可压缩多相粒子单元(CMP-PIC),它能够模拟从稀薄到稠密和颗粒流的所有气固两相流动。Baer和Nunziato(B-N)模型与MP-PIC模型中颗粒相动量方程的等价关系是气相、颗粒相和耦合效应模拟的关键。对于气相,建立了欧拉坐标系下的控制方程,并以B-N模型为参考,推导了气相方程和双向耦合项。气体方程采用多物质可压缩流动的输运五方程模型。此外,基于粒子单元(PIC)方法,在拉格朗日坐标下跟踪分散粒子。用粗粒度离散单元法(DEM)模型模拟颗粒间的碰撞,提供了更多的物理方式,而不是经验的碰撞应力模型。在与B-N模型进行比较研究的基础上,建立了双向耦合模型。然后,发展了一套统一的HLL/HLLC解算器,用于气相方程中对流项和喷嘴项的离散化。采用具有一定扩展光滑长度的高阶插值算子,对耦合效应进行了稳健计算。综上所述,将传统的可压缩双流体模型、DEM模型和PIC模型的优点融合到了现有的CMP-PIC模型中,能够模拟稀流到稠流或稠流的过渡流动,这是传统方法难以实现的。这种欧拉-拉格朗日方法在内部并行程序中实现,并通过涉及不同激波诱导的多相流的实验观测来验证。定性和定量比较表明,数值计算结果与实验和理论结果具有良好的一致性。
The compressible multiphase flows in a gas-particle system often arise in many engineering applications and nature phenomena. This study focuses on the development of a novel method, i.e. the compressible multiphase particle-in-cell (CMP-PIC), which can be capable of simulating all pattern flows of gas-particle system from dilute to dense and granular flows. The equivalent relation of the momentum equations of the particle phase between the Baer and Nunziato (B-N) model and the MP-PIC model is the key support for the modeling of gas phase, particle phase and coupling effects. For the gas phase, the governing equations are constructed in the Eulerian frame and the B-N model is taken as reference to derive the equations of gas phase and two-way coupling terms. A transport five-equation model for multi-material compressible flows is adopted in gas equation. Additionally, the disperse particle is tracked in the Lagrangian coordinate based on the particle-in-cell (PIC) method. The collisions among particles are simulated with coarse-grained discrete element method (DEM) model which provides more physical manner rather than empirical collision stress model. Moreover, a two-way coupling model is derived based on a comparative study with B-N model. Thereafter a set of unified HLL/HLLC solvers is developed for the discretization of the convective and nozzling terms of gas phase equations. A high order interpolation operator with certain enlarged smooth length is applied for the robust computation of coupling effects. Overall, the advantages of traditional compressible two-fluid model, DEM and PIC model are integrated into the current CMP-PIC model, and it can simulate the transition flows from dilute to dense or vice versa, which is difficult for traditional methods. This Eulerian-Lagrangian approach is implemented in an in-house parallel code and validated against experimental observations involving different shock induced multiple phase flows. The qualitative and quantitative comparison shows that numerical results perform good consistence with experimental and theoretical results.
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DOI: 10.1039/c9sm02150g
发表时间: 2020
期刊: Soft Matter
影响因子: 3.4
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DOI: 10.1002/cpa.3160130207
发表时间: 1960-01-01
影响因子: 3
作者:
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