Numerical modeling of essentially subsonic flows of compressible gas

A new method for solving essentially subsonic flows is proposed, which represents a significant step in the field of numerical modeling of flows based on the Navier-Stokes system of equations. The method uses an ENO (Essentially Non-Oscillatory) scheme of third order accuracy, which provides higher accuracy when calculating flows with low speed of sound. One of the key features of this method is the introduction of nondimensionalization parameters. These parameters make it possible to adapt the Navier-Stokes equations to different physical conditions and avoid the rigidity of the equations, which is often encountered in numerical modeling problems. This makes the method more flexible and applicable to a variety of engineering and physical problems. To check and approbate this technique, calculations are carried out for two important problems - flow inside a cavern and Poiseuille flow. The value of the Reynolds number, Re=100, as well as various sizes of computational grids are considered. The obtained results are compared with experimental data, and a high degree of agreement between the model and real phenomena is observed. This indicates the effectiveness and accuracy of the proposed method in solving complex flows in various engineering and physical problems.