VACUUM BOUNDARY CONDITIONS IN SURFACE HARMONICS METHOD

Authors & Affiliations

Elshin A.V., Tenischeva N.V.
Institute of Nuclear Power Engineering (branch) of Peter the Great Saint-Petersburg Polytechnic University, Sosnovy Bor, Russia

Elshin A.V. – Dr. Sci. (Tech.), Senior Research Fellow, Head of Department, Institute of Nuclear Power Engineering (branch) of Peter the Great Saint-Petersburg Polytechnic University. Contacts: 41, Solnechnaya st., Sosnovy Bor, Leningrad region, Russia, 188542. Tel:. (921)438-48-55; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it..
Tenischeva N.V. – student, Institute of Nuclear Power Engineering (branch) of Peter the Great Saint-Petersburg Polytechnic University.

Abstract

In the method of surface harmonics (SHM) as a boundary condition it can be used a link of even angular momentum vector of the neutron distribution with odd momentum vector to obtain a finite-difference equations. On the border with the vacuum such boundary conditions are called Mark or Marshak boundary conditions. Instead of odd angular momenta the SHM uses their linear combinations (so called neutron levels), so in this paper it is obtained the matrix of connection between odd angular momentum vector and the neutron levels vector (such as Marshak boundary conditions). In present article connection matrix is used in SHM and for computation of the reference neutron distributions in PN - approximation (up to N=53).

Keywords
surface harmonics method, angular moment, Marshak boundary conditions

Article Text (PDF, in Russian)

References

UDC 621.039.51

Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2017, issue 1, 1:4