BOLSIG+ is a user-friendly Windows application for the numerical solution of the Boltzmann equation for electrons in weakly ionized gases in uniform electric fields, conditions which typically appear in the bulk of collisional low-temperature plasmas. Under these conditions the electron distribution is determined by the balance between electric acceleration and momentum loss and energy loss in collisions with neutral gas particles. The main purpose of BOLSIG+ is to obtain the electron transport coefficients and collision rate coefficients from collision cross section data. The principles of BOLSIG+ can be summarized as follows: the Electric field and all collision probabilities are assumed to be uniform; the angular dependence of the electron distribution is approximated by the classical two-term expansion; the change in the electron number density due to ionization or attachment is accounted for by an exponential growth model; using the above assumptions, the Boltzmann equation reduces to a convection-diffusion continuity-equation with a non-local source term in energy space, which is discretized by an exponential scheme and solved for the electron energy distribution function by a standard matrix inversion technique.

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  1. Yan, Bokai; Caflisch, Russel E.; Barekat, Farzin; Cambier, Jean-Luc: Analysis and simulation for a model of electron impact excitation/deexcitation and ionization/recombination (2015)
  2. Kostomarov, D.P.; Stepanov, S.V.; Shishkin, A.G.: Virtual discharge: integrated modeling environment for supporting numerical experiments with gas discharge plasmas (2014)
  3. Lotova, Galiya Z.; Marchenko, Mikhail A.; Mikhailov, Gennady A.; Rogazinskii, Sergey V.; Ukhinov, Sergey A.; Shklyaev, Valery A.: Numerical statistical modelling algorithms for electron avalanches in gases (2014)
  4. Unfer, Thomas: An asynchronous framework for the simulation of the plasma/flow interaction (2013)
  5. Hamiaz, Adnane; Klein, Rudy; Ferrieres, Xavier; Pascal, Olivier; Boeuf, Jean-Pierre; Poirier, Jean-Rene: Finite volume time domain modelling of microwave breakdown and plasma formation in a metallic aperture (2012)
  6. Li, Chao; Ebert, Ute; Hundsdorfer, Willem: Spatially hybrid computations for streamer discharges. II: Fully 3D simulations (2012)
  7. Luque, A.; Ebert, U.: Density models for streamer discharges: beyond cylindrical symmetry and homogeneous media (2012)
  8. Cheng, K.-W.; Hung, C.-T.; Chiang, M.-H.; Hwang, F.-N.; Wu, J.-S.: One-dimensional simulation of nitrogen dielectric barrier discharge driven by a quasi-pulsed power source and its comparison with experiments (2011)
  9. Hung, Chieh-Tsan; Chiu, Yuan-Ming; Hwang, Feng-Nan; Wu, Jong-Shinn: Development of a parallel implicit solver of fluid modeling equations for gas discharges (2011)
  10. Li, Chao; Ebert, Ute; Hundsdorfer, Willem: Spatially hybrid computations for streamer discharges with generic features of pulled fronts. I: Planar fronts (2010)
  11. Unfer, Thomas; Boeuf, Jean-Pierre; Rogier, François; Thivet, Frédéric: Multi-scale gas discharge simulations using asynchronous adaptive mesh refinement (2010)
  12. Becker, M.M.; Loffhagen, D.; Schmidt, W.: A stabilized finite element method for modeling of gas discharges (2009)
  13. Deconinck, T.; Mahadevan, S.; Raja, L.L.: Discretization of the Joule heating term for plasma discharge fluid models in unstructured meshes (2009)
  14. Matveenko, Yu I.; Gryaznykh, D.A.; Kondrat’ev, A.A.; Litvinenko, I.A.: A spherical harmonic expansion of the Boltzmann equation for nonhydrodynamic weakly ionized plasma in the presence of both electric and magnetic fields (2008)