Development of algorithms for solving the Navier–Stokes equations in “velocity–pressure” variables

A new approach for pressure computation at solving the Navier–Stokes equations in primitive variables is proposed and developed. The approach is based on integral forms of the continuity equation (mass conservation equations) and pressure decomposition in order to reduce total computational efforts. The paper represents the algorithm description and results of benchmark and applied problems. Navier–Stokes equations are solved without additional boundary conditions for pressure. The approach can be used in decoupled and coupled solvers.