Premium
A parabolic numerical procedure for three‐dimensional viscous rotating flows
Author(s) -
Shi Qingping,
Ribando R. J.
Publication year - 1993
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650170503
Subject(s) - curvilinear coordinates , turbomachinery , turbulence , mathematics , compressibility , rotation (mathematics) , mechanics , navier–stokes equations , computational fluid dynamics , work (physics) , numerical analysis , mathematical analysis , classical mechanics , physics , geometry , thermodynamics
This paper presents the development of a parabolic numerical procedure for rotating flows and its applications to three‐dimensional viscous rotating flows. The formulation is based on the Navier–Stokes equations in general co‐ordinates fixed on a rotating frame, so that the rotation effect is included in the guess‐correct process. The use of body‐fitted curvilinear co‐ordinates makes it easier to handle the complex geometries of turbomachinery components. In the present work a k –ϵ turbulence model was used for the three‐dimensional numerical tests. The algorithm is equally applicable to incompressible and compressible flows. Comparisons of the predicted results with the experimental data were reasonably good, and the solutions were stable to rotational speeds up to at least 14 000 rpm.