Extension of a reduced entropic model of electron transport to magnetized nonlocal regimes of high-energy-density plasmas

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

doi:10.1017/s0263034616000252

Cited by 9 publications

(10 citation statements)

References 33 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%

“…Having shown several encouraging properties of the AWBS transport equation defined by ( 5) under local diffusive conditions in Section III, this section focuses on analyzing its behavior under nonlocal plasma conditions, extensively investigated in numerous publications [8,19,26,[43][44][45][46]. A variety of tests suitable for benchmarking the nonlocal electron transport models have been published [19,25,29,[47][48][49], we focus on conditions relevant to inertial confinement fusion plasmas generated by lasers.…”

Section: Benchmarking the Awbs Nonlocal Transport Modelmentioning

confidence: 99%

“…The explicit form of the anisotropic part of EDF then reads f which exhibits a steep gradient at the point 450 µm connecting a hot bath (T e = 1 keV) and cold bath (T e = 0.17 keV) and s is the parameter of steepness. This test is referred to as a simple non-linear heat-bath problem and originally was introduced in [47] and further investigated in [19,25,48,49]. The total computational box size is 700 µm.…”

Section: H H H H H H H H H H H H H H H H H H Hmentioning

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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“…In this paper we compare three different models for kinetic (i.e. nonlocal) effects on electron thermal conduction against Vlasov-Fokker-Planck simulations: (i) the EIC [3][4][5] and (ii) the NFLF 6,7 models, which have recently been suggested for application in the tokamak edge and scrape-off layer (SOL); and (iii) the SNB model [8][9][10][11][12] , which is currently the most widely used in inertial fusion and laser-plasma applications.…”

Section: Introductionmentioning

confidence: 99%

Testing nonlocal models of electron thermal conduction for magnetic and inertial confinement fusion applications

et al. 2017

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Three models for nonlocal electron thermal transport are here compared against Vlasov-Fokker-Planck (VFP) codes to assess their accuracy in situations relevant to both inertial fusion hohlraums and tokamak scrape-off layers. The models tested are (i) a moment-based approach using an eigenvector integral closure (EIC) originally developed by Ji, Held, and Sovinec [Phys. Plasmas 16, 022312 (2009)]; (ii) the non-Fourier Landau-fluid (NFLF) model of Dimits, Joseph, and Umansky [Phys. Plasmas 21, 055907 (2014)]; and (iii) Schurtz, Nicolaï, and Busquet’s [Phys. Plasmas 7, 4238 (2000)] multigroup diffusion model (SNB). We find that while the EIC and NFLF models accurately predict the damping rate of a small-amplitude temperature perturbation (within 10% at moderate collisionalities), they overestimate the peak heat flow by as much as 35% and do not predict preheat in the more relevant case where there is a large temperature difference. The SNB model, however, agrees better with VFP results for the latter problem if care is taken with the definition of the mean free path. Additionally, we present for the first time a comparison of the SNB model against a VFP code for a hohlraum-relevant problem with inhomogeneous ionisation and show that the model overestimates the heat flow in the helium gas-fill by a factor of ∼2 despite predicting the peak heat flux to within 16%

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Extension of a reduced entropic model of electron transport to magnetized nonlocal regimes of high-energy-density plasmas

Cited by 9 publications

References 33 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

Testing nonlocal models of electron thermal conduction for magnetic and inertial confinement fusion applications

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