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A pressure-based algorithm for high-speed turbomachinery flows. (English) Zbl 0882.76057
Summary: The steady-state Navier-Stokes equations which describe in transonic flows are solved by using an elliptic formulation. A segregated solution algorithm is established in which the pressure correction equation is utilized to enforce the divergence-free mass flux constraint. The momentum equations are solved in terms of the primitive variables, while the pressure correction field is used to update both the convecting mass flux components and the pressure itself. The velocity components are deduced from the corrected mass fluxes 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 flow 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 \(k-\varepsilon\) model. Dealing with turbomachinery applications, results are presented for two-dimensional compressor and turbine cascades under design and off-design conditions.

76M20 Finite difference methods applied to problems in fluid mechanics
76F10 Shear flows and turbulence
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
76H05 Transonic flows
Full Text: DOI
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