Implicitly charge-conserving solver for Boltzmann electrons

Carlsson, Johan; Manente, Marco; Pavarin, Daniele
June 2009
Physics of Plasmas;Jun2009, Vol. 16 Issue 6, p062310
Academic Journal
An implicitly charge-conserving algorithm has been developed for solving the nonlinear Poisson equation that results from the use of Boltzmann electrons. The new algorithm solves for the Boltzmann density parameter and, in the case of a Neumann boundary condition, the surface-charge density, simultaneously as it solves for the discretized electrostatic potential. Numerical stability is demonstrated for time steps exceeding the electron plasma period and spatial resolutions much coarser than the Debye length.


Related Articles

  • Calculation of electron transport in Ar/N[sub 2] and He/Kr gas mixtures--implications... Yicheng Wang; Van Brunt, R.J. // Physics of Plasmas;Mar1997, Vol. 4 Issue 3, p551 

    Discusses the calculation of the electron drift velocities and corresponding mean energies using an approximate two-term solution of the Boltzmann transport equation for argon/nitrogen gas mixtures. Comparison with predictions obtained from a method known as an 'analog of Blanc's law';...

  • Electron thermal transport analysis in Tokamak à Configuration Variable. Asp, E.; Kim, J.-H.; Horton, W.; Porte, L.; Alberti, S.; Karpushov, A.; Martin, Y.; Sauter, O.; Turri, G. // Physics of Plasmas;Aug2008, Vol. 15 Issue 8, p082317 

    A Tokamak à Configuration Variable (TCV) [G. Tonetti, A. Heym, F. Hofmann et al., in Proceedings of the 16th Symposium on Fusion Technology, London, U.K., edited by R. Hemsworth (North-Holland, Amsterdam, 1991), p. 587] plasma with high power density (up to 8 MW/m3) core deposited electron...

  • Advanced 3-D Electron Fokker-Planck Transport Calculations. Peysson, Y.; Decker, J.; Harvey, R.W. // AIP Conference Proceedings;2003, Vol. 694 Issue 1, p495 

    The first fully implicit 3-D (2-D in momentum and 1-D in configuration spaces respectively) solutions for the bounce-averaged relativistic Fokker-Planck-transport equations based on an incomplete LU matrix factorization is reported. This new method allows a fast and stable convergence towards...

  • Toroidal electron temperature gradient mode structure in the presence of nonuniform background flows. Davydova, Tatiana; Bateman, Glenn; Kritz, Arnold H.; Pankin, Alexei // Physics of Plasmas;Sep2003, Vol. 10 Issue 9, p3614 

    The influence of nonuniform poloidal and toroidal background plasma flows on the spatial structure and growth rate of the electrostatic electron temperature gradient (ETG) mode is investigated in the linear approximation. This derivation includes the ballooning mode formalism and a more recently...

  • Test of models for electron transport in laser produced plasmas. Colombant, D. G.; Manheimer, W. M.; Busquet, M. // Physics of Plasmas;Jul2005, Vol. 12 Issue 7, p072702 

    This paper examines five different models of electron thermal transport in laser produced spherical implosions. These are classical, classical with a flux limit f, delocalization, beam deposition model, and Fokker–Planck solutions. In small targets, the results are strongly dependent on f...

  • Plasma and electrical characteristics of inductive discharge in a magnetic field. Godyak, V.A.; Alexandrovich, B.M. // Physics of Plasmas;Jul2004, Vol. 11 Issue 7, p3553 

    The electron energy distribution function and the azimuthal rf electric field (magnitude and phase) have been measured in a cylindrical inductively coupled plasma (ICP) immersed in a weak magnetic field and driven at 29 MHz. The measurements were performed under conditions of controlled rf power...

  • Simulation of ultrahigh recycling divertors for tokamaks. Petravic, M. // Physics of Plasmas;Jul94, Vol. 1 Issue 7, p2207 

    Reports on the reduction of power carried by charged particles into the scrape-off layer of a tokamak reactor using fluid models for both the plasma and neutral gas. Model for the combined plasma and neutral gas transport in two dimensions capable of simultaneously representing regions of fully...

  • Fast electron transport and lower hybrid absorbed power profiles from hard x-ray imaging in the... Jones, S. E.; Kesner, J.; Luckhardt, S.; Paoletti, F.; von Goeler, S.; Bernabei, S.; Kaita, R.; Giruzzi, G. // Physics of Plasmas;May95, Vol. 2 Issue 5, p1548 

    Investigates fast electron transport and lower hybrid absorbed power profiles from hard x-ray imaging in the Princeton Beta Experiment-Modified (PBX-M) camera. Radial profiles of the emitted intensity and isotropy; Ability to control the peak location of the driven current.

  • A hierarchy of empirical models of plasma profiles and transport. Imre, Kaya; Riedel, Kurt S.; Schunke, Beatrix // Physics of Plasmas;May95, Vol. 2 Issue 5, p1614 

    Presents two families of statistical models of increasing statistical complexity, that generalize global confinement expressions to plasma profiles and local transport coefficients. Parameterization of the temperature or diffusivity as a function of the normalized flux radius; Log-additive...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics