Authors & Affiliations
Elshin A.V., Pakhomov A.D., Riuchin V.V.
Institute of Nuclear Power Engineering (branch) of Peter the Great Saint-Petersburg Polytechnic University, Sosnovy Bor, Russia
Pakhomov A.D. – student, Institute of Nuclear Power Engineering (branch) of Peter the Great Saint-Petersburg Polytechnic University.
Riuchin V.V. – student, Institute of Nuclear Power Engineering (branch) of Peter the Great Saint-Petersburg Polytechnic University.
The surface harmonics method (SHM) is one of the approaches to neutron-physical reactor computa-tion which reasons and develops the method of homogenization. The symmetry of cells in the method of homogenization and in the SHM is still being used while equations deriving. Cells can be asymmetric in reality. The surface harmonics method allows us to obtain finite-difference equations for a heterogeneous reactor core with asymmetric cells. This allows one to check SHM recommendations on choosing boundaries of the reactor unit cells. The examples of test one dimension tasks solution with asymmetric cells for substantiation of the unit cells boundaries choice for the reactor core are shown in this paper.
method of surface harmonics, asymmetric cells, neutron distribution, finite-difference equation, abandonment from diffusion approximation, choosing boundaries of unit cells, test tasks
1. Elshin A.V. Konechno-raznostnye uravneniya dlya raspredeleniya neytronov i ikh tsennosti v trekhmernom geterogennom reaktore s nestrukturirovannoy setkoy [Finite difference equations for the distribution of neutrons and their value in three-dimensional heterogeneous reactor unstructured grid]. Voprosy atomnoy nauki i tekhniki. Seriya: Fizika yadernykh reaktorov – Problems of atomic science and technology. Series: Physics of Nuclear Reactors, 2016 (in Russian, unpublished).
2. Trahan T.J., Larsen E.W. 2012 An Asymptotic Homogenized Neutron Diffusion Approximation. II Numerical Comparison. Proc. Physor 2012 – Advances in Reactor Physics – Linking Research, Industry, and Education. Knoxville, Tennessee, USA, 2012.
3. Elshin A.V., Tenischeva N.V. Usloviya tipa Marshaka na granitse s vakuumom v metode poverkhnostnykh garmonik [Marshak type conditions at the boundary with the vacuum in the method of surface harmonics]. Trudy nauchno-prakticheskoy konferentsii "Nauchnyy forum s mezhdunarodnym uchastiem "Nedelya nauki SPbPU" [Proc. Scientific-practical conference "Scientific Forum with international participation "Science Week SPbPU"]. St. Petersburg, 2014, pp. 143–145.