Physics – Mathematical Physics
Scientific paper
2011-12-06
Physics
Mathematical Physics
15 pages, 3 figures
Scientific paper
In this paper we present a adaptive particle in cell method to extend the application to adaptive grid transformation and accelerate the solver process. The motivation arose of simulating near and fare-field application of plasma induced drive propulsion systems, called ion thruster. Here the problems of simulating a near-field in the drive propulsion system and the fare field of the shoot of the plasma particles of the system are hard and delicate to compute, see Birdsall 1985, Birdsall 1991. Based on the large scale computation of PIC codes, that can simulate up to $10^{10}$ particles, the accuracy of the particle solvers are very important. Due to the work of Tskhakaya et. al 2007, that allows only spatial symmetry and uniform grids, we propose a novel adaptive PIC method, that allows to use also non-uniform grids. Here, we have to balance the spatial symmetry to a spatial non-symmetry scheme, without loosing the physical correctness of conservation constraints. The results are discussed with numerical experiments to obtain validation of the underlying methods. Here, we taken into account the correctness of the adaptive schemes with respect to the conservation constraints.
Duras Julia
Geiser Juergen
Kalentyev O.
Matyash Konstantin
Schneider Ralf
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