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                                       Details van artikel 14 van 87 gevonden artikelen
 
 
  Benchmarking the invariant embedding method against analytical solutions in model transport problems
 
 
Titel: Benchmarking the invariant embedding method against analytical solutions in model transport problems
Auteur: Wahlberg Malin
Pázsit Imre
Verschenen in: Nuclear technology & radiation protection
Paginering: Jaargang 21 (2006) nr. 2 pagina's 3-13
Jaar: 2006
Inhoud: The purpose of this paper is to demonstrate the use of the invariant embedding method in a few model transport problems for which it is also possible to obtain an analytical solution. The use of the method is demonstrated in three different areas. The first is the calculation of the energy spectrum of sputtered particles from a scattering medium without absorption, where the multiplication (particle cascade) is generated by recoil production. Both constant and energy dependent cross-sections with a power law dependence were treated. The second application concerns the calculation of the path length distribution of reflected particles from a medium without multiplication. This is a relatively novel application, since the embedding equations do not resolve the depth variable. The third application concerns the demonstration that solutions in an infinite medium and in a half-space are interrelated through embedding-like integral equations, by the solution of which the flux reflected from a half-space can be reconstructed from solutions in an infinite medium or vice versa. In all cases, the invariant embedding method proved to be robust, fast, and monotonically converging to the exact solutions.
Uitgever: VINČA Institute of Nuclear Sciences (provided by DOAJ)
Bronbestand: Elektronische Wetenschappelijke Tijdschriften
 
 

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