Global pressure-relaxation procedure for solution of laminar, 2-dimensional reduced Navier-Stokes equations for internal flow
This study deals with the implementation of a global relaxation procedure for the solution of the Reduced Navier-Stokes (RNS) equations for internal flow. The RNS equations are an approximation to the full Navier-Stokes (NS) equations. They are derived from higher-order boundary layer theory by retaining terms to 2nd order in the viscous region, and all terms in the inviscid region. This results in a composite-equations approximation of the NS equations in which the streamwise viscous diffusion terms are absent. Unlike the boundary-layer approximation, however, the streamwise pressure gradient is treated as unknown. This provides an inherent mechanism for capturing viscous-inviscid interaction effects. This study extends the RNS global pressure-relaxation procedure developed by Rubin and co-workers for external flow, to internal-flow applications. Results were computed for incompressible flow in both rectangular and curved channels, and for subsonic compressible flow in the simulation of an airfoil in a wind tunnel.
- Research Organization:
- Cincinnati Univ., OH (USA)
- OSTI ID:
- 5205847
- Country of Publication:
- United States
- Language:
- English
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