Incompressible viscous flow simulation using the quasi-hydrodynamic equations system

In this paper, we consider the problem of modeling viscous incompressible fluid flow using the quasi-hydrodynamic equations system. The use of this approach makes it possible to avoid instability in pressure calculation when using the classical formulation of the Navier–Stokes equations, which is manifested when using cellular numerical schemes. For the numerical implementation of QGD equations, the finite volume method was used with cell-center approximation. In the case of a two-dimensional problem a square mesh was used. A cubic mesh was used in the case of a three-dimensional problem. Two series of calculations were performed for testing in areas of complex geometry for several Reynolds numbers. The results were compared with the ANSYS CFX software package. The comparison showed the high quality of the numerical simulation results using the QGD system of equations.