1.School of Nuclear Reactors and Safety, Nuclear Science and Technology Research Institute, End of North Karegar Ave., 14359-836, Tehran, Iran
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Roozbeh Vadi, Kamran Sepanloo. An improved semi-implicit direct kinetics method for transient analysis of nuclear reactors. [J]. Nuclear Science and Techniques 30(11):162(2019)
Roozbeh Vadi, Kamran Sepanloo. An improved semi-implicit direct kinetics method for transient analysis of nuclear reactors. [J]. Nuclear Science and Techniques 30(11):162(2019) DOI： 10.1007/s41365-019-0690-3.
Semi-implicit direct kinetics (SIDK) is an innovative method for the temporal discretization of neutronic equations proposed by J. Banfield. The key approximation of the SIDK method is to substitute a time-averaged quantity for the fission source term in the delayed neutron differential equations. Hence, these equations are decoupled from prompt neutron equations and an explicit analytical representation of precursor groups is obtained, which leads to significant reduction in computational cost. As the fission source is not known in a time-step, the original study suggested using a constant quantity pertaining to the previous time-step for this purpose, and a reduction in the size of the time-step was proposed to lessen the imposed errors. However, this remedy notably diminishes the main advantage of the SIDK method. We discerned that if the original method is properly introduced into the algorithm of the point-implicit solver along with some modifications, the mentioned drawbacks will be mitigated adequately. To test this idea, a novel multi-group, multi-dimensional diffusion code using the finite-volume method and a point-implicit solver is developed which works in both transient and steady states. In addition to the SIDK, two other kinetic methods, i.e. direct kinetics and higher-order backward discretization (HOBD), are programmed into the diffusion code for comparison with the proposed model. The final code is tested at different conditions of two well-known transient benchmark problems. Results indicate that while the accuracy of the improved SIDK is comparable with the best available kinetic methods, it reduces the total time required for computation by up to 24%.
Nuclear kineticsSemi-implicit direct kineticsHigher-order backward discretizationFinite volumePoint-implicit solver
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