ViDA: a Vlasov-DArwin solver for plasma physics at electron scales. (arXiv:1905.02953v1 [physics.plasm-ph])
<a href="http://arxiv.org/find/physics/1/au:+Pezzi_O/0/1/0/all/0/1">Oreste Pezzi</a>, <a href="http://arxiv.org/find/physics/1/au:+Cozzani_G/0/1/0/all/0/1">Giulia Cozzani</a>, <a href="http://arxiv.org/find/physics/1/au:+Califano_F/0/1/0/all/0/1">Francesco Califano</a>, <a href="http://arxiv.org/find/physics/1/au:+Valentini_F/0/1/0/all/0/1">Francesco Valentini</a>, <a href="http://arxiv.org/find/physics/1/au:+Guarrasi_M/0/1/0/all/0/1">Massimiliano Guarrasi</a>, <a href="http://arxiv.org/find/physics/1/au:+Camporeale_E/0/1/0/all/0/1">Enrico Camporeale</a>, <a href="http://arxiv.org/find/physics/1/au:+Brunetti_G/0/1/0/all/0/1">Gianfranco Brunetti</a>, <a href="http://arxiv.org/find/physics/1/au:+Retino_A/0/1/0/all/0/1">Alessandro Retin&#xf2;</a>, <a href="http://arxiv.org/find/physics/1/au:+Veltri_P/0/1/0/all/0/1">Pierluigi Veltri</a>

We present a Vlasov-DArwin numerical code (ViDA) specifically designed to
address plasma physics problems, where small-scale high accuracy is requested
even during the non linear regime to guarantee a clean description of the
plasma dynamics at fine spatial scales. The algorithm provides a low-noise
description of proton and electron kinetic dynamics, by splitting in time the
multi-advection Vlasov equation in phase space. Maxwell equations for the
electric and magnetic fields are reorganized according to Darwin approximation
to remove light waves. Several numerical tests show that ViDA successfully
reproduces the propagation of linear and nonlinear waves and captures the
physics of magnetic reconnection. We also discuss preliminary tests of the
parallelization algorithm efficiency, performed at CINECA on the Marconi-KNL
cluster. ViDA will allow to run Eulerian simulations of a non-relativistic
fully-kinetic collisionless plasma and it is expected to provide relevant
insights on important problems of plasma astrophysics such as, for instance,
the development of the turbulent cascade at electron scales and the structure
and dynamics of electron-scale magnetic reconnection, such as the electron
diffusion region.

We present a Vlasov-DArwin numerical code (ViDA) specifically designed to
address plasma physics problems, where small-scale high accuracy is requested
even during the non linear regime to guarantee a clean description of the
plasma dynamics at fine spatial scales. The algorithm provides a low-noise
description of proton and electron kinetic dynamics, by splitting in time the
multi-advection Vlasov equation in phase space. Maxwell equations for the
electric and magnetic fields are reorganized according to Darwin approximation
to remove light waves. Several numerical tests show that ViDA successfully
reproduces the propagation of linear and nonlinear waves and captures the
physics of magnetic reconnection. We also discuss preliminary tests of the
parallelization algorithm efficiency, performed at CINECA on the Marconi-KNL
cluster. ViDA will allow to run Eulerian simulations of a non-relativistic
fully-kinetic collisionless plasma and it is expected to provide relevant
insights on important problems of plasma astrophysics such as, for instance,
the development of the turbulent cascade at electron scales and the structure
and dynamics of electron-scale magnetic reconnection, such as the electron
diffusion region.

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