The work is focused on the development of an algorithm for calculation of a thermal-hydraulic circuit operating as part of a nuclear power facility. To this end we consider a physical model of a single-phase weakly incompressible fluid, which forms a basis for building a finite-difference model and a proper numerical algorithm. The used approach is based on the construction of finite-difference model that satisfies the conditions of conservativity, i.e. the method should maintain grid analogues of the basic conservation laws which are valid for the physical (differential) model. The model is analyzed according to the criteria of stability and accuracy of the solution. We offer a solution algorithm which generalizes a known successive elimination method for problems of calculating the heat exchange circuit with an arbitrary number of branches and pipe joints. The proposed method has an advantageous property, which is a natural parallelization of the corresponding computational work. Thus the method is promising for implementing calculations at multiprocessor systems, including systems with a hybrid architecture.

heat exchange circuit with an arbitrary number of branches and pipe joints, paralleling technology KUDA (video card)

Mathematical modelling in actual problems of science and technics