Eddy Viscosity Transport Model Based on Elliptic Relaxation Approach

摘要

The new k-v_t-ζ-f model is proposed based on the solution of the k and v_t ~ k~2/ε equations and wall damping function f_μ obtained by solving the ζ = v~2/k equation. Zero values as wall boundary conditions can be used for all equations: k, v_t, and ζ. The model is implemented in conjunction with the simple wall blending approach combining the integration up to the wall with the wall function. Replacing the ε equation with the v_t equation removes all arbitrariness about implementing the compound wall treatment. This approach shows less sensitivity on the distribution of the computational cells next to the wall. Future work will check if the model can be further simplified by removing some of the diffusion like terms in the v_t equation (those with constants C_(r1), C_(r2)) and modifying the remaining constants to compensate for the omission of these terms.