A superelement-based method for computing unsteady three-dimensional potential flows in hydraulic turbomachines

Communications in Numerical Methods in Engineering

Volumn 15, Issue 6, 1999, Pages 381-397

  Kruyt, N P ^a   Van Esch, B P M ^a   Jonker, J B ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

Finite element method; Potential flow; Pumps; Rotor stator interaction; Superelements; Turbomachines

Indexed keywords

CHANNEL FLOW; DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; LAPLACE TRANSFORMS; POTENTIAL FLOW; ROTORS; UNSTEADY FLOW;

ROTOR-STATOR INTERACTIONS; SUPERELEMENT-BASED METHOD; UNSTEADY THREE-DIMENSIONAL POTENTIAL FLOWS;

HYDRAULIC TURBINES;

THREE-DIMENSIONAL FLOW; TURBOMACHINERY;

EID: 0032782119     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1099-0887(199906/07)15:6<381::aid-cnm252>3.0.co;2-k     Document Type: Article

References (22)

1. W. N. Dawes, 'A simulation of the unsteady interaction of a centrifugal impeller with its vaned diffuser: flow analysis', J. Turbomach., 117, 213-222 (1995).
2. D. Croba and J. L. Kueny, 'Numerical calculation of two-dimensional, unsteady flow in centrifugal pumps: impeller and volute interaction', Int. j. numer. methods fluids, 22, 467-482 (1996).
3. C. G. Speziale, 'Turbulence modelling in nonertial frames of reference', Theor. Comput. Fluid Dyn., 1, 3-19 (1989).
4. K. S. Chen and M. C. Sue, 'Finite element analysis of steady three-dimensional potential flow in the blade passage of a centrifugal turbomachine', Comput. Struct., 46, 625-632 (1993).
5. H. Daiguji, 'Numerical analysis of three-dimensional potential flow in centrifugal turbomachines', Bull. JSME, 26, 1495-1501 (1983).
6. B. Maiti, V. Seshadri and R. C. Malhotra, 'Analysis of flow through centrifugal pump impellers by finite element method', Appl. Sci. Res., 46, 105-126 (1989).
7. E. E. Morfiadakis, S. G. Voutsinas and D. E. Papantonis, 'Unsteady flow calculation in a radial flow centrifugal pump with spiral casing', Int. j. numer. methods fluids, 12, 895-908 (1991).
8. S. M. Miner, R. D. Flack and P. E. Allaire, 'Two-dimensional flow analysis of a laboratory pump', J. Turbomach., 114, 333-339 (1992).
9. R. Badie, J. B. Jonker and R. A. van den Braembussche, 'Finite element calculations and experimental verification of unsteady potential flow in a centrifugal pump', Int. j. numer. methods fluids, 19, 1083-1102 (1994).
10. J. B. Jonker and T. G. van Essen, 'A finite element perturbation method for computing fluid-induced forces on a centrifugal impeller rotating and whirling in a volute casing', Int. j. numer. methods eng., 29, 269-294 (1997).
11. G. K. Batchelor, An Introduction to Fluid Dynamics, Cambridge University Press, Cambridge, U.K., 1967.
12. O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method, McGraw-Hill, Maidenhead, U.K., 1989.
13. E. Baskharone and A. Hamed, 'A new approach in cascade flow analysis using the finite element method', AIAA J., 19, 65-71 (1981).
14. O. C. Zienkiewicz and J. Z. Zhu, 'The superconvergent patch recovery and a posteriori error estimates. Part I: the recovery technique', Int. j. numer. methods eng., 33, 1331-1364 (1992).
15. B. Hendrickson and R. Leland, 'An improved spectral graph partitioning for mapping parallel computations', SIAM J. Sci. Comput., 16, 452-469 (1995).
16. G. H. Paulino, I. V. M. Menezes, M. Gattass and S. Mukherjee, 'Node and element resequencing using the Laplacian of a finite element graph', Int. j. numer. methods eng., 37, 1511-1555 (1994).
17. J. G. H. Op de woerd, Personal communication, 1995.
18. C. Pfleiderer, Die Kreiselpumpen für Flüssigkeiten und Gase, Springer-Verlag, Berlin, Germany, 1961.
19. N. P. Kruyt, B. P. M. van Esch and J. B. Jonker, 'Analysis of three-dimensional potential flows in centrifugal and mixed-flow pumps by a finite element method'. Proceedings 10th Conference on Fluid Machinery, 1995, Budapest, Hungary, pp. 242-251.
20. N. P. Kruyt, B. P. M. van Esch and J. B. Jonker, 'A tool for the analysis of unsteady potential flows in centrifugal and mixed-flow pumps'. Proceedings Pumpentagung 1996 C8-2, Karlsruhe, Germany, 1994.
21. B. P. M. van Esch, N. P. Kruyt and J. B. Jonker, 'An inviscid-viscous coupling method for computing flows in entire pump configurations'. Proceedings Third ASME Pumping Machinery Symposium, FEDSM97-3373, 1997, Vancouver, BC, Canada.
22. B. P. M. van Esch, 'Simulation of three-dimensional unsteady flow in hydraulic pumps'. Ph.D. Thesis, Department of Mechanical Engineering, University of Twente, The Netherlands, 1997.