Development of computer code IGDC for generation and depletion of fission products and actinides in pressure tube type heavy water reactors (PT-HWRs) using Klopfenstien-Shampine numerical differentiation formula (NDF).

Highlights • This paper discusses the generation of depletion of radioisotopes in the nuclear reactor. • This is basically the problem of solving nonlinear Bateman equations. • In this paper, Klopfenstien-Shampine numerical differentiation formula are used for solving these Bateman equations. • This method does not have the limitations of partitioning of the fission products, linearizing the decay chains or linearizing the Bateman equations. Abstract Pressure tube type heavy water reactors (PT-HWRs) with Natural Uranium (NU) fuel, similar to conventional CANDU (CAN ada D euterium U ranium) reactor of small and large sizes are operated successfully worldwide. Various nations have their nuclear program based on a closed fuel cycle. Therefore it is important to know the exact concentration, decay heat, radio-toxicity and radioactivity of all isotopes produced over the fuel cycle. To this end, a computer code is being developed with advanced capabilities on MATLAB-14 platform using Klopfenstien-Shampine family of Numerical Differentiation Formula (KS family of NDFs). In this paper, efforts are taken to highlight on the develop of an indigenous computer code IGDC: I sotopic G eneration and D epletion C ode" to perform the fuel cycle studies for fuel irradiated in 220 MWe class PT-HWRs. [ABSTRACT FROM AUTHOR]