ViDA: a Vlasov–DArwin solver for plasma physics at electron scales

Pezzi, Oreste; Cozzani, Giulia; Califano, Francesco; Valentini, F.; Guarrasi, Massimiliano; Camporeale, Enrico; Brunetti, Gianfranco; Veltri, P.

doi:10.1017/s0022377819000631

Cited by 19 publications

(13 citation statements)

References 156 publications

(298 reference statements)

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“…Hesse et al, 2005), full-Vlasov (ions and electrons as interacting distribution functions, e.g. Umeda et al, 2009;Schmitz and Grauer, 2006;Pezzi et al, 2019), hybrid-PIC electrons (dynamic electron particles, ions as a static background, e.g. Lapenta et al, 2007) and hybrid-Vlasov electrons (dynamic electron distribution function with ions as a static background, e.g.…”

Section: Introductionmentioning

confidence: 99%

“…MMS in particular has provided data to many publications on magnetic reconnection (e.g. Burch and Phan, 2016;Phan et al, 2018;Huang et al, 2018;Hoilijoki et al, 2019a;Fargette et al, 2020), the most popular topic of electron physics investigations. Reconnection-driven jets and dipolarization fronts cause magnetic flux pileup and excitation of waves such as whistlers, affecting energy conversion and dissipation (Khotyaintsev et al, 2011;Breuillard et al, 2016;Zhang et al, 2018).…”

Section: Introductionmentioning

confidence: 99%

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Vlasov simulation of electrons in the context of hybrid global models: an eVlasiator approach

et al. 2021

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Abstract. Modern investigations of dynamical space plasma systems such as magnetically complicated topologies within the Earth's magnetosphere make great use of supercomputer models as well as spacecraft observations. Space plasma simulations can be used to investigate energy transfer, acceleration, and plasma flows on both global and local scales. Simulation of global magnetospheric dynamics requires spatial and temporal scales currently achievable through magnetohydrodynamics or hybrid-kinetic simulations, which approximate electron dynamics as a charge-neutralizing fluid. We introduce a novel method for Vlasov-simulating electrons in the context of a hybrid-kinetic framework in order to examine the energization processes of magnetospheric electrons. Our extension of the Vlasiator hybrid-Vlasov code utilizes the global simulation dynamics of the hybrid method whilst modelling snapshots of electron dynamics on global spatial scales and temporal scales suitable for electron physics. Our eVlasiator model is shown to be stable both for single-cell and small-scale domains, and the solver successfully models Langmuir waves and Bernstein modes. We simulate a small test-case section of the near-Earth magnetotail plasma sheet region, reproducing a number of electron distribution function features found in spacecraft measurements.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vlasov simulation of electrons in the context of hybrid global models: an eVlasiator approach

et al. 2021

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“…Fully kinetic continuum Vlasov simulations feature a highly accurate representation of velocity space and are utilized in the modelling of plasmas with great success (e.g. [1,2,3,4,5,6]).…”

Section: Introductionmentioning

confidence: 99%

A Parallel Low-Rank Solver for the Six-Dimensional Vlasov-Maxwell Equations

Allmann-Rahn,

Grauer,

Kormann

2022

Preprint

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Continuum Vlasov simulations can be utilized for highly accurate modelling of fully kinetic plasmas. Great progress has been made recently regarding the applicability of the method in realistic plasma configurations. However, a reduction of the high computational cost that is inherent to fully kinetic simulations would be desirable, especially at high velocity space resolutions. For this purpose, low-rank approximations can be employed. The so far available low-rank solvers are restricted to either electrostatic systems or low dimensionality and can therefore not be applied to most space, astrophysical and fusion plasmas. In this paper we present a new parallel low-rank solver for the full six-dimensional electromagnetic Vlasov-Maxwell equations with a compression of the particle distribution function in velocity space. Special attention is paid to mass conservation and Gauss's law. The low-rank Vlasov solver is applied to standard benchmark problems of plasma turbulence and magnetic reconnection and compared to the full grid method. It yields accurate results at significantly reduced computational cost.

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Section: Introductionmentioning

confidence: 99%

Vlasov simulation of electrons in the context of hybrid global models: An eVlasiator approach

Battarbee

Brito

Alho

et al. 2021

Preprint

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<p>Modern investigations of dynamical space plasma systems such as magnetically complicated topologies within the Earth's magnetosphere make great use of supercomputer models as well as spacecraft observations. Space plasma simulations can be used to investigate energy transfer, acceleration, and plasma flows on both global and local scales. Simulation of global magnetospheric dynamics requires spatial and temporal scales achievable currently through magnetohydrodynamics or hybrid-kinetic simulations, which approximate electron dynamics as a charge-neutralizing fluid. We introduce a novel method for Vlasov-simulating electrons in the context of a hybrid-kinetic framework in order to examine the energization processes of magnetospheric electrons. Our extension of the Vlasiator hybrid-Vlasov code utilizes the global simulation dynamics of the hybrid method whilst modelling snapshots of electron dynamics on global spatial scales and temporal scales suitable for electron physics. Our eVlasiator model is shown to be stable both for single-cell and small-scale domains, and the solver successfully models Langmuir waves and Bernstein modes. We simulate a small test-case section of the near-Earth magnetotail plasma sheet region, reproducing a number of electron distribution function features found in spacecraft measurements.</p>

show abstract

ViDA: a Vlasov–DArwin solver for plasma physics at electron scales

Cited by 19 publications

References 156 publications

Vlasov simulation of electrons in the context of hybrid global models: an eVlasiator approach

Vlasov simulation of electrons in the context of hybrid global models: an eVlasiator approach

A Parallel Low-Rank Solver for the Six-Dimensional Vlasov-Maxwell Equations

Vlasov simulation of electrons in the context of hybrid global models: An eVlasiator approach

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