A Composite Velocity Procedure for the Incompressible Navier-Stokes Equations.
CINCINNATI UNIV OH DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS
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A boundary layer-relaxation procedure based on a new composite-velocity formulation for the incompressible Navier-Stokes system is described. The equations are interpreted and numerically approximated to reflect the composite nature of the flow. The procedure was previously developed for subsonic flow. Unlike typical Navier-Stokes procedures that differ significantly from their incompressible flow counterparts, the present developments are essentially identical in both cases. Moreover, the extension to transonic flows should be direct. The equations are written in a body-fitted orthogonal coordinate system so that arbitrary geometries can be treated. Application to internal and external flows are discussed. Specific geometries include a boattail simulator, the trailing edge of a plate, Joukowski airfoils and a curved channel. Author
- Numerical Mathematics
- Fluid Mechanics