Implicit Solution Method for Incompressible Navier-Stokes Equations Including Two-Layer k-_ Turbulence Model

摘要

The two-dimensional incompressible Navier-Stokes equations including a low-Reynolds-number two-layer k-t turbulence model are solved by an implicit time-stepping routine using the method of artificial compressibility. The two-layer model uses a transport equation for the turbulent kinetic energy k and a new algebraic relationship for the turbulent time scale t near the wall but reverts to the two-equation k-_ turbulence model in the bulk of the flow away from the wall. The algebraic relationship for the turbulent time scale _ and the eddy-viscosity damping function f_μare validated by direct numerical simulation data and asymptotic analysis of near-wall turbulence.