A finite element overlapping scheme for turbomachinery flows on parallel platforms

Computers and Fluids

Volumn 32, Issue 7, 2003, Pages 1017-1047

  Borello, D ^a   Corsini, A ^a   Rispoli, F ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSORS; FINITE ELEMENT METHOD; TURBULENCE; VISCOSITY;

TURBOMACHINERY FLOWS;

AXIAL FLOW TURBOMACHINERY;

FINITE ELEMENT ANALYSIS; FLOW MODELING; PARALLEL COMPUTING; TURBOMACHINERY;

EID: 0037411943     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7930(02)00034-8     Document Type: Article

References (52)

1. Kang S, Hirsch C. Numerical simulation of three-dimensional viscous flow in a linear compressor cascade with tip clearance. J Turbomach 1996;118:492-505.
2. Chima RV. Calculation of tip clearance effects in a transonic compressor rotor. J Turbomach 1998;120:131-40.
3. Furukawa M, Inoue M, Saiki K, Yamada K. The role of tip leakage vortex breakdown in compressor rotor aerodynamics. J Turbomach 1999;121:469-80.
4. Eulitz F. Numerical simulation and modeling of unsteady turbomachinery flows. In: Recent developments in numerical methods for turbomachinery flows. VKI LS 2002-01.
5. Hah C, Loellbach J. Development of hub corner stall andits influence on the performance of axial compressor blade rows. J Turbomach 1999;121:67-77.
6. Van Zante DE, Strazisar AJ, Wood JR, Hathaway MD, Okiishi TH. Recommendations for achieving accurate numerical simulation of tip clearance flows in transonic compressor rotors. J Turbomach 2000;122:733-42.
7. Chen WL, Lien FS, Leschziner MA. Computational prediction of flow around highly loaded compressor - Cascade blades with non-linear eddy-viscosity modes. Int J Heat Fluid Flow 1998;19:307-19.
8. Borello D, Corsini A, Rispoli F. Prediction of Francis turbine runner performance using a 3D finite element technique with unassembled stiffness matrix treatment. In: 2nd European Conference on Turbomachinery. Antwerp, Belgium: Technologisch Instituut; 1997.
9. Chen WL, Leschziner MA. Modelling turbomachine-blade flows with non-linear eddy-viscosity models and second moment closure. IMechE Paper C557/131/99, vol. A. 1999. p. 189-99.
10. Mittal R, Venkatasubramanian S, Najiar FM. Large-eddy simulation of flow through a low-pressure turbine cascade. AIAA Paper 2001-2560.
11. You D, Mittal R, Wang M, Moin P. Large-eddy simulation of rotor tip-clearance flow. In: Proceedings of 40th AIAA Aerospace Sciences Meeting and Exhibit. 2002.
12. Sleiman M, Tam A, Robichaud MP, Peeters MF, Habashi WG. Multistage simulation by an adaptive finite element approach using structured grids. J Fluids Eng 1999;121:450-9.
13. Bassi F, Rebay S, Mariotti G, Pedinotti S, Savini M. A high order accurate discontinuous finite element for inviscid andviscous turbomachinery flows. In: 2nd European Conference on Turbomachinery. Antwerp, Belgium: Technologisch Instituut; 1997.
14. Borello D, Corsini A, Rispoli F. A 3D stabilized finite element technique with compact stiffness matrix treatment. Application to internal flows. ASME Paper FEDSM97-3491. 1997.
15. Ruprecht A, Bauer C, Gentner C, Lein G. Parallel computation of stator-rotor interaction in an axial turbine. In: ASME CFD Symposium. Boston, USA; 1999.
16. Corsini A, Rispoli F. Numerical simulation of three-dimensional viscous flow in an isolated axial rotor. Arch Mech Eng 1999;XLVI-4:369-92.
17. Borello D, Corsini A, Rispoli F. A parallel approach to FEM modelling of turbomachinery flows. In: ECCOMAS 2000, Barcelona, Spain. 2000.
18. Banas K, Palzek J. Dynamic load balancing for the preconditioned GMRes solver in a parallel adaptive finite element Euler code. In: Computational Fluid Dynamics '96. John Wiley and Sons Ltd.; 1996.
19. Kaiho M, Ikegawa M, Kato C. Parallel overlapping scheme for viscous incompressible flows. Int J Num Meth Fluids 1997;24:1341-52.
20. Wasfy T, West AC, Modi V. Parallel finite element computation of unsteady incompressible flows. Int J Num Meth Fluids 1998;26:17-37.
21. Yagawa G, Shirazaki M. Parallel computing for incompressible flow using a nodal-based method. Comput Mech 1999;23:209-17.
22. Ecer A, Akay HU, Kemle WB, Wang H, Ercoskum D, Hall EJ. Parallel computation of fluid dynamics problems. Comput Meth Appl Mech Eng 1994;112:91-108.
23. Fritsch G, Hoeger M, Blaha C, Bauer C. Viscous three-dimensional simulation of transonic compressor stage on parallel hardware. J Propul Power 2000;16-3:388-96.
24. Craft TJ, Launder BE, Suga K. Development and application of a cubic eddy-viscosity model of turbulence. Int J Heat Fluid Flow 1996;17:108-55.
25. Brooks AN, Hughes TJR. Streamline Upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Comput Meth Appl Mech Eng 1982;32: 199-259.
26. Tezduyar TE. Stabilized finite element formulations for incompressible flow computations. In: Advances in Applied Mechanics. Academic Press Inc.; 1992.
27. Corsini A. 3D analysis of Francis turbine runner: performance prediction using a finite element technique with unassembled stiffness matrix treatment. PhD Thesis, DMA, University of Rome "La Sapienza". 1996 in Italian.
28. Smith BF, Bjorstad PE, Gropp WD. Domain decomposition parallel multilevel methods for elliptic partial differential equations. UK: Cambridge Press; 1996.
29. Quarteroni A, Valli A. Domain decomposition methods for partial differential equations. Oxford, UK: Clarendon Press; 1999.
30. Borello D. A parallel finite element methodology for the simulation of axial incompressible flow turbomachines. PhD Thesis, DMA, University of Rome "La Sapienza". 2000 in Italian.
31. Pacheco PS. A user guide to MPI. peterυfsca.edu, 1995.
32. Launder BE, Sharma BI. Application of the energy dissipation model of turbulence to the calculation of flow near a spinning disc. Lett Heat Mass Trans 1974;1:131-8.
33. Hughes TJR, Franca LP, Balestra M. A new finite element formulation for computational fluidd ynamics: V. Circumventing the Babuska-Brezzi condition: a stable Petrov-Galerkin formulation of the Stokes problem accomodating equal-order interpolations. Comput Meth Appl Mech Eng 1986;59:85-99.
34. Nigro N, Storti M, Idelsohn S. GMRes physics-based preconditioner for all Reynolds and Mach numbers: numerical examples. Int J Num Meth Fluids 1997;25:1347-71.
35. Hansbo P, Johnson C. Streamline diffusion finite element methods for fluid flow. VKI LS1995-02. Belgium: Von Karman Institute; 1995.
36. Sani RL, Gresho PM, Lee RL, Griffths DF. The cause andcure (?) of spurious pressures generatedby certain FEM solutions of the incompressible Navier-Stokes equations: part 1. Int J Num Meth Fluids 1981;1:17-43.
37. τ = 590. Phys Fluids 1999;11:943-5.
38. Cai XC. A family of overlapping Schwarz algorithms for nonsymmetric andind effinite elliptic problems. In: Domain-based Parallelism and Problem Decomposition Methods in Computational Science and Engineering. SIAM; 1995.
39. Christie I, Griffths D, Mitchell A, Zienkiewicz O. Finite element methods for second order differential equations with significant first derivatives. Int J Num Meth Eng 1976;10:1389-96.
40. Basson AH, Lakshminarayana B. An artificial dissipation formulation for a semi-implicit, pressure based solution scheme for viscous andinviscid flows. Comput Fluid Dyn 1994;2:253-82.
41. Saad Y, Schultz MH. GMRes: a generalizedminimal residual algorithm for solving nonsymmetric linear system. SIAM J Stat Comput 1986;7:856-69.
42. Schafer M, Turek S. Benchmark computations of laminar flow arounda cylinder. In: Flow simulation with highperformance computers II, vol. 52. Vieweg; 1996.
43. Lewis JG. The Gibbs-Poole-Stockmeyer and Gibbs-King algorithms for reordering sparse matrices. ACM Trans Math Softw 1982;8:190-4.
44. van der Vorst HA, Vuik C. GMRESR: a family of nested GMRES methods. Num Lin Alg Appl 1994;1:369-86.
45. Zierke WC, Deutsch S. The measurement of boundary layers on a compressor blade in cascade. NCR185118. 1989.
46. Vad J, Bencze F. Secondary flow in axial flow fans of non-free vortex operation. In: 8th Int. Symp. Appl. of Laser Tech. Fluid Mech, Lisbon, vol. 1. 1996.
47. Corsini A, Rispoli F, Vad J, Bencze F. Concerted experimental and numerical studies on axial flow fan rotor aerodynamics. IMechE Paper C557/106/99, vol. B. 1999. p. 519-31.
48. Lien FS, Kalitzin G, Durbin PA. RANS modeling for compressible and transitional flows. In: Proceedings of Summer Program - Center for Turbulence Research. 1998. p. 267-86.
49. Durbin PA. On the κ-ε stagnation point anomaly. Int J Heat Fluid Flow 1996;17:89-90.
50. Vad J. Investigation on the flow field downstream of axial flow fans using Laser Doppler Anemometry. PhD Thesis, Tech. Univ. of Budapest. 1997 in Hungarian.
51. Storer JA, Cumpsty NA. Tip leakage flow in axial compressors. J Turbomach 1991;113:252-9.
52. Vad J. Private communication, 1999.