Authors & Affiliations

Shcherbakov S.I.
A.I. Leypunsky Institute for Physics and Power Engineering, Obninsk, Russia

Shcherbakov S.I. – Senior Researcher, A.I. Leypunsky Institute for Physics and Power Engineering. Contacts: 1, pl. Bondarenko, Obninsk, Kaluga region, Russia, 249033. Tel.: +7(910) 513-99-40; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it..


The work is devoted to the construction of numerical computational circuits in a discrete space for solving heat and mass transfer problems in a flowing fluid. The purpose of the development is to improve the reliability of the results of numerical calculations for heat and mass transfer in the current environment, reduce errors associated with the discreteness of space and time in computational models, and simplify algorithms. Three calculation schemes for variables in a discrete domain are given. The KINT algorithm is proposed to reduce the effect of "grid mixing", which arises when discrete approximation of the convective terms of the transport equations. For each cell, the intensity of mixing is calculated. In the cells downstream, sources that restore the values of the functions before mixing are added. To improve the convergence of explicit schemes, an approximation with an average function value for two interacting nodes is proposed. When solving, the values at the nodes approach this average, the process of convergence becomes aperiodic. For heat transfer problems with phase transitions, a unified calculation scheme is proposed for all processes. The heat transfer equation for a one-component medium with an additional heat source is used. A heat source is heat that is released or absorbed when the concentration of the components changes during a phase transition. The algorithms are used in the Turboflow calculation code. The calculated examples show the effects of the application of these algorithms.

numerical calculation, fluid flow, heat and mass transfer, discrete area, reduction of approximation errors, convergence of explicit schemes, heat transfer with phase transition

Article Text (PDF, in Russian)


UDC 519.63

Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2018, issue 4, 4:5