Numerical method of hydromechanics equations in multiply connected domains

Multiply-connected domains (MDs) have been considered. For solving hydrodynamics equations in these three-dimensional domains with curvlinear boundary surfaces, it is proposed to divide MDs by the totality of final volumes (FV) belonging to three types. FVs of two types are simply-connected, and the FVs of the third type are biconnected. In the general case, the FVs also have curvilinear bounding surfaces, which are spatial formations serving as a basis for carrying out the parallelization of a computational process. For the solution of hydrodynamics equations, the difference scheme is unwound for the simply-connected FVs. In the biconnected FVs, the approximate solution is found in the form of polynomials for the given totality of computation points. The initial and boundary conditions are formulated for the general MD. In order to obtain a continuous solution, the conjugation conditions of the appropriate order being defined by the accuracy of the approximated solution are imposed when passing from one FV to another. It is shown that when the above conditions are fulfilled, the magnitudes of hydromechanical parameters in multiply-connected domains are calculated in the same way as in the simply-connected domains.