A time dependent analytical approximation solution for a pulsed source problem: P1 transport versus diffusion

A time dependent analytical approximation solution for a pulsed source problem: P1 transport versus diffusion

Merk, B.

An analytical solution for a pulse of an external source in a homogeneous subcritical reactor problem is developed. The problem is described through an approximation of the Boltzmann Transport equation, the Telegrapher's or time dependent P1 equation. The analytical solution to the problem is expressed in terms of a Green's function expansion. The differences between the solution for the Telegrapher's equation and the diffusion equation without separation of space and time are discussed

Keywords: Telegrapher's equation; Neutron Transport; Space-Time Dependent Transport; Accelerator Driven Systems; Pulsed Source

  • Lecture (Conference)
    2008 Nuclear Science Symposium, Medical Imaging Conference and 16th Room Temperature Semiconductor Detector Workshop, 19.-25.10.2008, Dresden, Deutschland
  • Contribution to proceedings
    2008 Nuclear Science Symposium, Medical Imaging Conference and 16th Room Temperature Semiconductor Detector Workshop, 19.-25.10.2008, Dresden, Deutschland
    IEEE Conference Record, 978-1-4244-2715-4

Permalink: https://www.hzdr.de/publications/Publ-11396