The PANS and PITM model: a new formulation of f_k

Paper in proceeding, 2018

The partially averaged Navier-Stokes (PANS) model, proposed in Girimaji (2006), can be used to simulate turbulent flows either as a RANS, LES or DNS. The Partially Integrated Transport Model (PITM) is identical to PANS except that in PANS the diffusion coefficients in the k and epsilon are modified. Both models include f_k which denotes the ratio of modeled to total kinetic energy. In RANS, f_k=$, and in DNS it goes to zero. In the present study we propose a new formulation for $f_k$ based on the $H$-equivalence introduced by Friess et al. 2015.