Discrete Boltzmann modeling of plasma shock wave

Liu, Zhipeng; Song, Jiahui; Xu, Aiguo; Zhang, Yudong; Xie, Kan

doi:10.1177/09544062221075943

Cited by 12 publications

(7 citation statements)

References 74 publications

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“…In recent years, the kinetic methods based on the Boltzmann equation have become a popular mesoscopic simulation approach in various fields [20][21][22][23]. In particular, the discrete Boltzmann method (DBM) [24,25] is suitable for supersonic waves with essential nonequilibrium effects, such as the steady or unsteady detonation.…”

Section: Introductionmentioning

confidence: 99%

Unsteady detonation with thermodynamic nonequilibrium effect based on the kinetic theory

Su¹,

Lin²

2023

Commun. Theor. Phys.

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The unsteady detonation is simulated and investigated from the viewpoint of kinetic theory in this paper. The deviations of the velocity distribution function from the equilibrium state are studied in the evolution of detonation. It has been discovered that the characteristics of the deviation around the detonation wave are significantly different from those in the post-wave region. Besides, the kinetic moments of reaction term have been simulated, verified and analyzed in detail. In addition, the reaction manifestation is defined to describe the global effects of kinetic moments due to chemical reactions. It is interesting to find that there are three types of periodic oscillations of the reaction manifestation during the evolution of the unsteady detonation. Via the fast Fourier transform, it can be seen that the reaction manifestation is mainly composed of several signal frequencies. Moreover, the impact of rate constants of two-step reaction scheme on the reaction manifestation is studied, and the influence of chemical heat is investigated as well.

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Section: Introductionmentioning

confidence: 99%

Unsteady detonation with thermodynamic nonequilibrium effect based on the kinetic theory

Su¹,

Lin²

2023

Commun. Theor. Phys.

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“…Recently, we have demonstrated that the DBM offers a novel systematic scheme and a set of convenient and efficient tools for describing, measuring and analysing simultaneously THNE effects that cannot be described adequately by traditional hydrodynamic models (Xu et al 2012;Gan et al 2015Gan et al , 2018Lai et al 2016;Zhang et al 2019Zhang et al , 2021Zhang et al , 2022aChen et al 2020Chen et al , 2022aLiu et al 2022). The DBM was developed from a branch of the LBM that aims to describe the non-equilibrium flows from a more fundamental level and is no longer based on the simple 'propagation + collision' lattice gas evolution scenario.…”

Section: Introductionmentioning

confidence: 99%

“…Kinetic features, such as the unbalancing and mutual conversion of internal energy at different degrees of freedom, provide appropriate criteria for determining whether or not higher-order TNE effects should be considered in the modelling, and which level of DBM should be adopted (Lin et al 2014;Gan et al 2015Gan et al , 2018. In plasma physics, kinetic features have been used to distinguish plasma shock wave from shock wave in ordinary neutral flow (Liu et al 2022). These findings and observations shed light on the fundamental mechanisms of various compressible flow systems.…”

Section: Introductionmentioning

confidence: 99%

Discrete Boltzmann multi-scale modelling of non-equilibrium multiphase flows

Gan

Xu²,

Lai³

et al. 2022

J. Fluid Mech.

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The aim of this paper is twofold: the first aim is to formulate and validate a multi-scale discrete Boltzmann method (DBM) based on density functional kinetic theory for thermal multiphase flow systems, ranging from continuum to transition flow regime; the second aim is to present some new insights into the thermo-hydrodynamic non-equilibrium (THNE) effects in the phase separation process. Methodologically, for bulk flow, DBM includes three main pillars: (i) the determination of the fewest kinetic moment relations, which are required by the description of significant THNE effects beyond the realm of continuum fluid mechanics; (ii) the construction of an appropriate discrete equilibrium distribution function recovering all the desired kinetic moments; (iii) the detection, description, presentation and analysis of THNE based on the moments of the non-equilibrium distribution ( $f-f^{(eq)}$ ). The incorporation of appropriate additional higher-order thermodynamic kinetic moments considerably extends the DBM's capability of handling larger values of the liquid–vapour density ratio, curbing spurious currents, and ensuring mass/momentum/energy conservation. Compared with the DBM with only first-order THNE (Gan et al., Soft Matt., vol. 11 (26), 2015, pp. 5336–5345), the model retrieves kinetic moments beyond the third-order super-Burnett level, and is accurate for weak, moderate and strong THNE cases even when the local Knudsen number exceeds $1/3$ . Physically, the ending point of the linear relation between THNE and the concerned physical parameter provides a distinct criterion to identify whether the system is near or far from equilibrium. Besides, the surface tension suppresses the local THNE around the interface, but expands the THNE range and strengthens the THNE intensity away from the interface through interface smoothing and widening.

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“…Discrete Boltzmann method (DBM) is a modeling and analysis method based on kinetic theory in statistical physics [73][74][75][76][77][78][79][80] . It provides various measures to detect, describe and exhibit the complex Thermodynamic Non-Equilibrium (TNE) behaviors, and has brought a series of new insights in several fields in recent years, such as multiphase flow [81][82][83][84][85] , rarefied gas flow 86,87 , combustion and detonation [88][89][90][91][92][93][94][95][96][97] , hydrodynamic instabilities [98][99][100][101][102][103][104][105] , etc.…”

Section: Introductionmentioning

confidence: 99%

Nonequilibrium kinetics effects in Richtmyer-Meshkov instability and reshock process

Shan¹,

Xu²,

Wang³

et al. 2022

Preprint

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Nonequilibrium kinetic effects are widespread in fluid systems and might have a significant impact on the inertial confinement fusion ignition process, and the entropy production rate is a key factor in accessing the compression process. But relevant research is little due to the lack of convenient physical model. In this work, we study the Richtmyer-Meshkov instability (RMI) and the reshock process by a two-fluid discrete Boltzmann method (DBM). The work starts from interpreting the experiment by Collins and Jacobs [J. Fluid Mech. 464, 113-136 (2002)]. Firstly, the DBM result for the perturbation amplitude evolution is in good agreement with that of experiment. It is found that shock wave causes substances near the substance interface to deviate more significantly from their thermodynamic equilibrium state. Greatly different from the case of normal shocking on unperturbed plane interface between two uniform media, which is well described by the Rankine-Hugoniot relations and where all Thermodynamic Non-Equilibrium (TNE) quantities quickly recover to zero behind the shock front, in the RMI case, the TNE quantities show complex but inspiring kinetic effects in the shocking process and behind the shock front. The kinetic effects are detected by two sets of TNE quantities. The first set are |∆ * 2 |, ∆ * 3,1 , ∆ * 3 , and ∆ * 4,2 . They correspond to the intensities of the Non-Organized Momentum Flux(NOMF), Non-Organized Energy Flux(NOEF), flux of NOMF and flux of NOEF. All the four TNE measures abruptly increase in the shocking process. ∆ * 3,1 and ∆ * 3 have the same dimension and show similar behaviors. They continue to increase in a much lower rate behind the shock front. |∆ * 2 | and ∆ * 4,2 have different dimensions, but show similar behaviors. They quickly decrease to be very small behind the shock front. The second set of TNE quantities are ṠNOMF , ṠNOEF and Ṡsum . They are entropy production rates due to NOMF, NOEF and their summation. It is found that the mixing zone is the primary contribution region to the ṠNOEF , while the flow field region excluding mixing zone is the primary contribution region to the ṠNOMF . Each substance behaves differently in terms of entropy production rate, and the light fluid has a higher entropy production rate than the heavy fluid.

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Discrete Boltzmann modeling of plasma shock wave

Cited by 12 publications

References 74 publications

Unsteady detonation with thermodynamic nonequilibrium effect based on the kinetic theory

Unsteady detonation with thermodynamic nonequilibrium effect based on the kinetic theory

Discrete Boltzmann multi-scale modelling of non-equilibrium multiphase flows

Nonequilibrium kinetics effects in Richtmyer-Meshkov instability and reshock process

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