On a calculation method of thermal field of the assembly with the internal source of heat generating

The solution of the edge problem of stationary thermal conductivity with the external boundary conditions of the third order and conditions of conjugation of a fuel element (FE) with a medium, filling the fuel assembly corresponding to a leaky thermal contact is considered. The FE and fuel assemblies areas can have a nonclassical form. A method of transformation of the corresponding edge problem into the problem with homogeneous boundary conditions is given. The variation principle of the edge problem solution is formulated. The method of finite space construction approximating the space of permissible functions of the equivalent variation problem, is developed (on the basis of application of the structural method). Approximations of the components of the edge problem solution are expansions in basis functions, accurately satisfying both external and internal boundary conditions. Practical approbation of the method developed is realized in solving the concrete problem of stationary thermal conductivity. It is numerically realized in the PL-1 language