A PRESSURE-BASED ALGORITHM FOR HIGH-SPEED TURBOMACHINERY FLOWS

✍ Scribed by E. S. Politis; K. C. Giannakoglou

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 397 KB
• Volume: 25
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(19970715)25:1<63::aid-fld539>3.0.co;2-a

✦ Synopsis

The steady state Navier±Stokes equations are solved in transonic ¯ows using an elliptic formulation. A segregated solution algorithm is established in which the pressure correction equation is utilized to enforce the divergence-free mass ¯ux constraint. The momentum equations are solved in terms of the primitive variables, while the pressure correction ®eld is used to update both the convecting mass ¯ux components and the pressure itself. The velocity components are deduced from the corrected mass ¯uxes on the basis of an upwind-biased density, which is a mechanism capable of overcoming the ellipticity of the system of equations, in the transonic ¯ow regime. An incomplete LU decomposition is used for the solution of the transport-type equations and a globally minimized residual method resolves the pressure correction equation. Turbulence is resolved through the k±e model. Dealing with turbomachinery applications, results are presented in two-dimensional compressor and turbine cascades under design and off-design conditions.