Convergence of moment methods for linear kinetic equations

نویسندگان

  • Christian Schmeiser
  • Alexander Zwirchmayr
چکیده

Numerical methods for linear kinetic equations based on moment expansions for a discretization in the velocity direction are examined. The moment equations are hyperbolic systems which can be shown to converge to the kinetic equation as the order of the expansion tends to innnity and to a drift-diiusion model as the Knudsen number tends to zero. A discretiza-tion of the moment equations with respect to time and space is presented, a stability result is proven and some aspects of an implementation are discussed. In particular, an adaptive procedure is described where the order of the expansion is determined locally. Results of numerical experiments are presented.

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تاریخ انتشار 1998