Reduced entropic model for studies of multidimensional nonlocal transport in high-energy-density plasmas

Sorbo, Dario Del; Feugeas, J.‐L.; Nicolaï, Ph.; Olazabal-Loumé, M.; Dubroca, Bruno; Guisset, Sébastien; Touati, M.; Tikhonchuk, V. T.

doi:10.1063/1.4926824

Cited by 30 publications

(29 citation statements)

References 27 publications

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“…Also, the field compressing magnetothermal instability involves the coupling of Righi-Leduc heat flow with Nernst advection [68] and the work here could help achieve a better understanding of how it behaves under non-local conditions without performing expensive vfp calculations. However, the absence of an obvious link with the perpendicular heat flux means that there is no simple way of accounting for nonlocal effects on the Righi-Leduc heat flow without having to resort to the addition of a new independent flux-limiter or a more sophisticated reduced nonlocal model capable with stronger links to the edf itself (such as as the M1 model [37,52] including B-fields; whose accuracy has yet to be fully established).…”

Section: Discussionmentioning

confidence: 99%

Incorporating kinetic effects on Nernst advection in inertial fusion simulations

Brodrick

Sherlock

Farmer

et al. 2018

Plasma Phys. Control. Fusion

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We present a simple method to incorporate nonlocal effects on the Nernst advection of magnetic fields down steep temperature gradients, and demonstrate its effectiveness in a number of inertial fusion scenarios. This is based on assuming that the relationship between the Nernst velocity and the heat flow velocity is unaffected by nonlocality. The validity of this assumption is confirmed over a wide range of plasma conditions by comparing Vlasov-Fokker-Planck and flux-limited classical transport simulations. Additionally, we observe that the Righi-Leduc heat flow is more severely affected by nonlocality due to its dependence on high velocity moments of the electron distribution function, but are unable to suggest a reliable method of accounting for this in fluid simulations.

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Section: Discussionmentioning

confidence: 99%

Incorporating kinetic effects on Nernst advection in inertial fusion simulations

Brodrick

Sherlock

Farmer

et al. 2018

Plasma Phys. Control. Fusion

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“…A method of angular momenta for the solution of the electron kinetic equation with the collision operator (5) was introduced in [19,25].…”

Section: The Awbs Kinetic Modelmentioning

confidence: 99%

“…In the case of BGK the collision operator (9) needs to be corrected in order to provide a same local behavior as (19), i.e. a correct dependence on Z. Consequently, we define a scaling formula…”

Section: Summary Of the Bgk Awbs And Fokker-planck Local Diffusive Tr...mentioning

confidence: 99%

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AWBS kinetic modeling of electrons with nonlocal Ohms law in plasmas relevant to inertial confinement fusion

Holec,

Loiseau,

Debayle

et al. 2019

Preprint

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The interaction of lasers with plasmas very often leads to nonlocal transport conditions, where the classical hydrodynamic model fails to describe important microscopic physics related to highly mobile particles. In this study we analyze and further propose a modification of the Albritton-Williams-Bernstein-Swartz collision operator Phys. Rev. Lett 57, 1887Lett 57, (1986 for the nonlocal electron transport under conditions relevant to ICF. The electron distribution function provided by this modification exhibits some very desirable properties when compared to the full Fokker-Planck operator in the local diffusive regime, and also performs very well when benchmarked against Vlasov-Fokker-Planck and collisional PIC codes in the nonlocal transport regime, where we find that the effect of the electric field via the nonlocal Ohm's law is an essential ingredient in order to capture the electron kinetics properly.

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“…It is, however, limited to the cases of thermal transport without magnetic field and does not account for electrons produced in parametric instabilities and resonance absorption. A more general model based on solution of a kinetic equation with a simplified collision integral is under development [29]. Potentially, it can be incorporated in radiation hydrodynamic codes and provide a more general framework for transport of energetic electrons produced by different sources and accounting for self-consistent electric and magnetic fields.…”

Section: Inertial Fusion Energy Research In Europementioning

confidence: 99%

Progress and opportunities for inertial fusion energy in Europe

Tikhonchuk

2020

Phil. Trans. R. Soc. A.

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In this paper, I consider the motivations, recent results and perspectives for the inertial confinement fusion (ICF) studies in Europe. The European approach is based on the direct drive scheme with a preference for the central ignition boosted by a strong shock. Compared to other schemes, shock ignition offers a higher gain needed for the design of a future commercial reactor and relatively simple and technological targets, but implies a more complicated physics of laser–target interaction, energy transport and ignition. European scientists are studying physics issues of shock ignition schemes related to the target design, laser plasma interaction and implosion by the code developments and conducting experiments in collaboration with US and Japanese physicists, providing access to their installations Omega and Gekko XII. The ICF research in Europe can be further developed only if European scientists acquire their own academic laser research facility specifically dedicated to controlled fusion energy and going beyond ignition to the physical, technical, technological and operational problems related to the future fusion power plant. Recent results show significant progress in our understanding and simulation capabilities of the laser plasma interaction and implosion physics and in our understanding of material behaviour under strong mechanical, thermal and radiation loads. In addition, growing awareness of environmental issues has attracted more public attention to this problem and commissioning at ELI Beamlines the first high-energy laser facility with a high repetition rate opens the opportunity for qualitatively innovative experiments. These achievements are building elements for a new international project for inertial fusion energy in Europe. This article is part of a discussion meeting issue ‘Prospects for high gain inertial fusion energy (part 1)’.

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Reduced entropic model for studies of multidimensional nonlocal transport in high-energy-density plasmas

Cited by 30 publications

References 27 publications

Incorporating kinetic effects on Nernst advection in inertial fusion simulations

Incorporating kinetic effects on Nernst advection in inertial fusion simulations

AWBS kinetic modeling of electrons with nonlocal Ohms law in plasmas relevant to inertial confinement fusion

Progress and opportunities for inertial fusion energy in Europe

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