A Calculation of the Parabolized Navier-Stokes Equations for Turbulent Axisymmetric Flows Using Streamline Coordinates and k-epsilon Turbulence Model.
DAVID W TAYLOR NAVAL SHIP RESEARCH AND DEVELOPMENT CENTER BETHESDA MD
Pagination or Media Count:
A numerical method for calculating turbulent axisymmetric flows at the stern and in the wake of bodies of revolution is presented. A partially parabolic marching technique in a streamline coordinate system is used together with the k-epsilon turbulence model. In the viscous sublayer region, the velocity is calculated using a mixing length argument instead of the wall function method. The numerical procedure starts at a station on the body where the boundary layer is thin and is pursued several body lengths downstream into the wake. The numerical solution is obtained by marching downstream and iteratively solving for each flow variable. The axial and normal corrections to the pressure are calculated by solving a kinematic compatibility equation for the position of the streamlines. The boundary conditions for the pressure are set by calculating the potential flow about an equivalent displacement body. The numerical marching scheme is repeated, restarting at the initial station, until convergence is achieved. Comparisons are made between the numerical results and the experimental data for four different bodies. Author
- Fluid Mechanics