Adaptive change of the resolution parameter in the approach based on partially averaged Navier-Stokes equations

P. A. Kuchugov


Abstract: In this paper, the use of an approach based on partially averaged Navier-Stokes equations is demonstrated on the example of the decay of homogeneous isotropic turbulence. The $k$-$e$ model is used as the basic turbulence model. The value of the subgrid model parameter, responsible for separating the scales of the turbulent flow, changes over time both according to a given law and based on the current characteristics of the flow. To take into account the non-commutativity of the averaging operator with spatial and temporal derivatives due to the variable ratio of unresolved to total turbulent kinetic energy, a model based on the principle of conservation of total energy is used.

Keywords: partially averaged Navier-Stokes equations, turbulence, variable filter, commutation errors.

DOI: 10.20948/prepr-2024-68