Response Matrix/Discrete Ordinates Solution of the 1D Fokker-Planck Equation

B. D. Ganapol, Pouso López Pouso

Research output: Contribution to journalArticlepeer-review

Abstract

The Fokker-Planck equation (FPE) is one of the quintessential equations of particle transport theory. Representing small angle scattering characteristics of electron and photon transport by differential scattering indeed is a mathematical/numerical challenge. Here, we address the challenge with the method of response matrix applied to the Sn approximation to arrive at a nearly six-place-precision benchmark. Our approach aligns with the response matrix solution of the radiative transfer equation for anisotropic scattering published previously. We conclude with the comparison of the response matrix benchmark to a classical finite difference approximation.

Original languageEnglish (US)
Pages (from-to)2327-2342
Number of pages16
JournalNuclear Science and Engineering
Volume197
Issue number9
DOIs
StatePublished - 2023

Keywords

  • Fokker-Planck equation
  • matrix exponential
  • response matrix

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

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