Hybrid fluid–particle modeling of shock-driven hydrodynamic instabilities in a plasma

Cai, Hongbo; Yan, Xin-Xin; Yao, Pei-Lin; Zhu, Shun‐Peng

doi:10.1063/5.0042973

Cited by 27 publications

(13 citation statements)

References 42 publications

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“…Therefore, the collisional coupling and state-dependent coefficients are no longer needed as used in fluid descriptions, as such coupling coefficients are usually obtained with approximations of the Fokker-Planck collision operator. Note however in a fluid model, such coupling coefficients are not even uniquely defined [8][9][10][11] , with various researchers employing different approximations.…”

Section: Algorithm Of the Modelmentioning

confidence: 99%

Head-on collision of large-scale high density plasmas jets: a first-principle kinetic simulation approach

Wu¹,

Zhang²

2023

Preprint

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In the double-cone ignition (DCI) inertial confinement fusion scheme, head-on collision of high density plasma jets is one of the most distinguished feature when compared with the traditional central ignition and fast ignition of inertial confinement fusion. However, the application of traditional hydrodynamic simulation methods become limited, due to serious plasma penetrations, mixing and kinetic physics that might occur in the collision process. To overcome such limitations, we propose a new simulation method for large-scale high density plasmas. This method takes advantages of modern particle-in-cell simulation techniques and binary Monte Carlo collisions, including both long-range collective electromagnetic fields and short-range particle-particle interactions. Especially, in this method, the restrictions of simulation grid size and time step, which usually appear in a fully kinetic description, are eliminated. In addition, collisional coupling and state-dependent coefficients, that are usually approximately used with different forms in fluid descriptions, are also removed in this method. Energy and momentum exchanges among particles and species, such as thermal conductions and frictions, are modelled by "first principle" kinetic approaches. The correctness and robustness of the new simulation method are verified, by comparing with fully kinetic simulations at small scales and purely hydrodynamic simulations at large scale. Following the conceptual design of the DCI scheme, the colliding process of two plasma jets with initial density of 100 g/cc, initial thermal temperature of 70 eV, and counterpropagating velocity at 300 km/s is investigated using this new simulation method. Quantitative values, including density increment, increased plasma temperature, confinement time at stagnation and conversion efficiency from the colliding kinetic energy to thermal energy, are obtained with a density increment of about three times, plasma temperature of 400 eV, confinement time at stagnation of 50 ps and conversion efficiency of 85%. These values agree with the recent experimental measurements at a reasonable range.

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Section: Algorithm Of the Modelmentioning

confidence: 99%

Head-on collision of large-scale high density plasmas jets: a first-principle kinetic simulation approach

Wu¹,

Zhang²

2023

Preprint

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“…Moreover, to deal with the self-generated electromagnetic fields of the beam-target system, collective electromagnetic effects are also considered in the LAPINS code. As a hybrid PIC code, the LAPINS code treats plasma ions and the injected beam particles by using the traditional PIC method, while plasma electrons are treated as a fluid, of which the current density is solved by applying Ampere's law as follows [34]:…”

Section: The Interaction Between a Proton Beam And A Boron Target Und...mentioning

confidence: 99%

“…When a charged particle beam is injected into a target, target electrons will quickly respond to the electromagnetic fields generated by the beam and neutralize the beam's charge and current. e fields generated by the beam-target system depend on not only the quality of the beam but also the target's ability to cancel the beam charge and current [34]. A widely used model to calculate the electric field is the basic Ohm's law [34][35][36][37][38], E � ηJ e , where η is the resistivity, which is obtained by averaging over all binary collisions at each time step for each simulation cell in a natural manner.…”

Section: The Interaction Between a Proton Beam And A Boron Target Und...mentioning

confidence: 99%

Laser-Driven Proton-Boron Fusions: Influences of the Boron State

Ning

Liang

et al. 2022

Laser Part. Beams

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The proton-boron (p 11 B) reaction is regarded as the holy grail of advanced fusion fuels, where the primary reaction produces 3 energetic α particles. However, due to the high nuclear bounding energy and bremsstrahlung energy losses, energy gain from the p 11 B fusion is hard to achieve in thermal fusion conditions. Owing to advances in intense laser technology, the p 11 B fusion has drawn renewed attention by using an intense laser-accelerated proton beam to impact a boron-11 target. As one of the most influential works in this field, Labaune et al. first experimentally found that states of boron (solid or plasma) play an important role in the yield of α particles. This exciting experimental finding rouses an attempt to measure the nuclear fusion cross section in a plasma environment. However, up to now, there is still no quantitative explanation. Based on large-scale, fully kinetic computer simulations, the inner physical mechanism of yield increment is uncovered, and a quantitative explanation is given. Our results indicate the yield increment is attributed to the reduced energy loss of the protons under the synergetic influences of degeneracy effects and collective electromagnetic effects. Our work may serve as a reference for not only analyzing or improving further experiments of the p 11 B fusion but also investigating other beam-plasma systems, such as ion-driven inertial confinement fusions.

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“…RTI is widespread in nature as well as in industry and is an important phenomenon in many fields of science and engineering, such as the filling of freshwater layers by seawater [3], the outburst of supernovae in outer space [4], two-component Bose-Einstein condensation [5], and microsecond and millisecond pulsed discharges in water [6], etc. In particular, in the inertial confinement fusion (ICF), it is necessary to suppress the development of RTI to achieve the conditions required for ignition [7][8][9][10][11][12]. Therefore, an in-depth study of RTI is of great importance in both basic science and engineering applications.…”

Section: Introductionmentioning

confidence: 99%

Rayleigh–Taylor instability under multi-mode perturbation: Discrete Boltzmann modeling with tracers

Li¹,

Xu²,

Zhang³

et al. 2022

Commun. Theor. Phys.

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The two-dimensional Rayleigh-Taylor Instability (RTI) under multi-mode perturbation in compressible flow is probed via the Discrete Boltzmann Modeling (DBM) with tracers. The distribution of tracers provides clear boundaries between light and heavy fluids in the position space. Besides, the position-velocity phase space offers a new perspective for understanding the flow behavior of RTI with intuitive geometrical correspondence. The effects of viscosity, acceleration, compressibility, and Atwood number on the mixing of material and momentum and the mean non-equilibrium strength at the interfaces are investigated separately based on both the mixedness defined by the tracers and the non-equilibrium strength defined by the DBM. The mixedness increases with viscosity during early stage but decreases with viscosity at the later stage. Acceleration, compressibility, and Atwood number show enhancement effects on mixing based on different mechanisms. After the system relaxes from the initial state, the mean non-equilibrium strength at the interfaces presents an initially increasing and then declining trend, which is jointly determined by the interface length and the macroscopic physical quantity gradient. We conclude that the four factors investigated all significantly affect early evolution behavior of RTI system, such as the competition between interface length and macroscopic physical quantity gradient. The results contribute to the understanding of the multi-mode RTI evolutionary mechanism and the accompanied kinetic effects.

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Hybrid fluid–particle modeling of shock-driven hydrodynamic instabilities in a plasma

Cited by 27 publications

References 42 publications

Head-on collision of large-scale high density plasmas jets: a first-principle kinetic simulation approach

Head-on collision of large-scale high density plasmas jets: a first-principle kinetic simulation approach

Laser-Driven Proton-Boron Fusions: Influences of the Boron State

Rayleigh–Taylor instability under multi-mode perturbation: Discrete Boltzmann modeling with tracers

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