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Composite Reduced Navier-Stokes Procdures for Flow Problems with Strong Pressure Interactions
Final rept. 1 Dec 1989-30 Jan 1991
CINCINNATI UNIV OH DEPT OF AEROSPACE ENGINEERING AND ENGINEERING MECHANICS
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The Reduced Navier-Stokes RNS formulation for viscous-inviscid interacting flows with significant upstream or elliptic effects has been applied for transient flows in inlets and steady two and three dimensional flows over cone-cylinder flare, afterbody and channel configurations. The solution technique allows for shock-boundary layer interaction and for regions of axial and secondary flow recirculation. It has been demonstrated that for laminar flows there exists a critical Reynolds number above which the solution exhibits a breakdown. This behavior, which occurs in the region of recirculation and can be correlated with the transition location, is grid dependent and can be missed with insufficiently refined grids or when artificial viscosity is introduced. The pressure-split RNS procedure is a special form of flux-vector splitting that has very favorable properties for sharp shock-shock and shock-boundary layer interaction. A sparse matrix direct solver procedure has been applied for both two dimensional transient flows, and for three dimensional steady flows. A domain decomposition multigrid procedure has further developed for viscous interacting flows, where significant grid stretching is required in discrete flow regions. Reduced Navier Stokes, Three-Dimensional Separation, Multigrid, Transient, Viscous -Interaction, Interaction, Domain Decomposition.
APPROVED FOR PUBLIC RELEASE