ABSTRACTS OF ARTICLES OF THE JOURNAL "INFORMATION TECHNOLOGIES".
No. 4. Vol. 26. 2020

DOI: 10.17587/it.26.231-238

V. B. Manichev¹, Associate Professor, e-mail: manichev@bmstu.ru, E. F. Mitenkova², Head Laboratory, E. O. Feldman¹, Bachelor, D. Ju. Kozhevnikov¹, Lead Engineer, E. V. Solovjeva², Researcher, e-mail: sol@ibrae.ac.ru,
¹ Bauman Moscow State Technical University, Moscow, 105005, Russian Federation,
² Nuclear Safety Institute of the Russian Academy of Sciences, Moscow, 115191, Russian Federation

Reliability and Calculation Accuracy of Nuclide Kinetics Problems

The current requirements in development of new generation reactors initiate the improvement of calculation base, including increasing the accuracy of solving nuclide kinetics problems. It is shown that when solving the stiff high dimensionality ODE systems the influence of rounding errors on the reliability and accuracy of final calculation results should be taken into account. For guaranteed accurate SLAE solution with reasonable calculation costs, an iterative refinement algorithm should be used with the calculation of the right-hand side with increased digit capacity. It's especial actual when using the most full nuclear data base because of objective complexity to obtain analytical solutions and experimental data for most nuclides of irradiated fuel. To obtain a solution with a guaranteed reliability and accuracy for all elements of high dimensionality ODE system, the MZKpackage implements the one-stage implicit Euler method with the described algorithm for solving LAE systems with double and increased computational accuracy. The results confirm the possibility to use the MZK package to obtain reference values in precision calculations of nuclide kinetics problems.
Keywords: mathematical modelling, ordinary differential equation (ODE), linear algebraic equations (LAE), stiff systems, guaranteed accuracy, nuclide kinetics, rounding error

P. 231–238

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