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@ARTICLE{Siddi:835922,
      author       = {Siddi, Lorenzo and Lapenta, Giovanni and Gibbon, Paul},
      title        = {{M}esh-free {H}amiltonian implementation of two dimensional
                      {D}arwin model},
      journal      = {Physics of plasmas},
      volume       = {24},
      number       = {8},
      issn         = {1089-7674},
      address      = {[S.l.]},
      publisher    = {American Institute of Physics},
      reportid     = {FZJ-2017-05054},
      pages        = {082103},
      year         = {2017},
      abstract     = {A new approach to Darwin or magnetoinductive plasma
                      simulation is presented, which combines amesh-free field
                      solver with a robust time-integration scheme avoiding
                      numerical divergence errorsin the solenoidal field
                      components. The mesh-free formulation employs an efficient
                      parallelBarnes-Hut tree algorithm to speed up the
                      computation of fields summed directly from the
                      particles,avoiding the necessity of divergence cleaning
                      procedures typically required by particle-incellmethods. The
                      time-integration scheme employs a Hamiltonian formulation of
                      the Lorentzforce, circumventing the development of violent
                      numerical instabilities associated with time
                      differentiationof the vector potential. It is shown that a
                      semi-implicit scheme converges rapidly and isrobust to
                      further numerical instabilities which can develop from a
                      dominant contribution of the vectorpotential to the
                      canonical momenta. The model is validated by various static
                      and dynamicbenchmark tests, including a simulation of the
                      Weibel-like filamentation instability in
                      beam-plasmainteractions.},
      cin          = {JSC / JARA-HPC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406 / $I:(DE-82)080012_20140620$},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511) / Kinetic Plasma Simulation with Highly Scalable
                      Particle Codes $(jzam04_20130501)$},
      pid          = {G:(DE-HGF)POF3-511 / $G:(DE-Juel1)jzam04_20130501$},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000409232200015},
      doi          = {10.1063/1.4994705},
      url          = {https://juser.fz-juelich.de/record/835922},
}