Deutsch Intern
    Institute of Mathematics

    Seminarreihe "structure preserving numerical methods for hyperbolic equations" im Oberseminar Mathematische Strömungsmechanik: Jeff Haack

    Date: 03/12/2021, 3:00 PM - 4:00 PM
    Category: Seminar, Veranstaltung
    Speaker: Jeff Haack

    This talk is part of the seminar series "structure preserving numerical methods for hyperbolic equations", click here for more details 


    In collisional, kinetic plasmas, the collective effect of grazing collisions allows the Boltzmann collision operator
    to be approximated by the Landau, or Landau-Fokker-Planck operator. We revisit this derivation and
    observe that the small angle cutoff typically used in this approximation can also be modeled with a velocity
    dependence. We apply a spectral formulation to the modified Boltzmann operator and derive a new, modified
    Landau collision operator which now includes a velocity dependent, rather than constant, Coulomb logarithm
    CL(|u|). We also derive the rate of convergence of the grazing collision approximation within this spectral framework
    in terms of the plasma coupling parameter Gamma. We present some preliminary numerical results as well
    as details related to the numerical implementation of the spectral method.

    via Zoom video conference (request the Zoom link from klingen@mathematik.uni-wuerzburg.de)