TY  - JOUR
AU  - Siddi, Lorenzo
AU  - Lapenta, Giovanni
AU  - Gibbon, Paul
TI  - Mesh-free Hamiltonian implementation of two dimensional Darwin model
JO  - Physics of plasmas
VL  - 24
IS  - 8
SN  - 1089-7674
CY  - [S.l.]
PB  - American Institute of Physics
M1  - FZJ-2017-05054
SP  - 082103
PY  - 2017
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000409232200015
DO  - DOI:10.1063/1.4994705
UR  - https://juser.fz-juelich.de/record/835922
ER  -