Research of stability and spectral properties explicit finite difference schemes with variable steps on time at modeling 3D flow in the pipe at large Reynolds numbers

There dimensional hydrodynamical calculations with heat transfer for nuclear reactors are complicated and actual tasks, their singularity is high numbers of Reynolds Re ∼ 106. The offered paper is one of initial development stages programs for problem solving the similar class. Operation contains exposition: mathematical setting of the task for the equations of Navier-Stokes with heat transfer compiling of space difference schemes by a method of check sizes, deriving of difference equations for pressure. The steady explicit methods of a solution of rigid tasks included in DUMKA program, and research of areas of their stability are used. Outcomes of numerical experiments of current of liquid in channels of rectangular cut are reduced. The complete spectrum analysis of the considered task is done (Authors)