To the solution of heat transfer equations in fuel element clusters

The methods for solving equations of the steady turbulent liquid flow and heat transfer in fuel element clusters are considered. Differential equations are approximated with finite-difference ones on the grids with account for geometric peculiarities of calculational area. Examples of difference equation construction for regular fuel element lattice are given. The methods of accounting for the element shift are considered on the example of a fuel element with a shifted fuel rod. The method of decreasing the number of calculation points based on using the temperature profile expansion inside the fuel element in eigen functions is proposed. This expansion allows determination of boundary conditions on the fuel element can without finite-difference solution of heat transfer equation inside the fuel element. For grid equations obtained the solution algorithm based on the method of variable directions is proposed