Comparison of convective terms approximations in DES family methods

The central-difference and upwind schemes for the convective terms of the gas dynamics equations are considered, as well as their interaction, carried out using various transition and weight functions. Testing was carried out on a model problem of the decay of homogeneous isotropic turbulence. Methods of large eddies with closing turbulence models were considered. The question of the consistency of the initial field with respect to the parameters of the turbulence model was investigated. The optimal values of the constants of the closing turbulence model were determined, allowing, in the case of a central-difference approximation, to maintain a low level of dissipation of the kinetic energy of turbulence in the high-frequency region of its spectrum. The weighting factor of the upwind scheme was determined, starting from which the influence of the mentioned constants becomes insignificant.