Bulletin of the American Physical Society
49th Annual Meeting of the Division of Plasma Physics
Volume 52, Number 11
Monday–Friday, November 12–16, 2007; Orlando, Florida
Session CP8: Poster Session II: Reconnection and Non-Neutral I; Spheromaks and MCX; MFC Diagnostics; Simulation: Algorithm; Simulation: Kinetic/Edge
Monday, November 12, 2007
Rosen Centre Hotel Room: Grand Ballroom, 2:00pm - 5:00pm
Abstract ID: BAPS.2007.DPP.CP8.100
Abstract: CP8.00100 : Solution of the Boltzmann kinetic equation for arbitrary collisionality*
Preview Abstract Abstract
Mark L. Adams
Howard A. Scott
Solving the nonlinear Boltzmann kinetic equation by traditional explicit numerical methods becomes increasingly difficult and costly as collisionality increases. However, many problems of scientific interest span the range from nearly collisionless to highly collisional regimes and remain beyond the reach of such methods. Thus, we develop an implicit solution technique to efficiently solve the Boltzmann equation for arbitrary collisionality. The technique builds upon methods developed for radiation transport and can be applied to a variety of numerical discretizations. As an example, we apply the method to a one-dimensional characteristic solution of the integral Boltzmann kinetic equation with Krook collision operator and a rigid elastic spherical atomic interaction potential. The technique can be extended to higher dimensions, applied to multiple atomic species, and is valid for more general interaction potentials. We present results for steady-state problems of Fourier flow and Couette flow over a large range of Knudsen numbers, and compare these with analytic results obtained using Chapman-Enskog theory.
*This work was performed under the auspices of the US Department of Energy by the University of California, Lawrence Livermore National Laboratory through contract W-7405-ENG-48.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2007.DPP.CP8.100
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