A variational multiscale higher-order finite element formulation for turbomachinery flow computations

Computer Methods in Applied Mechanics and Engineering

Volumn 194, Issue 45-47, 2005, Pages 4797-4823

  Corsini, Alessandro ^a   Rispoli, Franco ^a   Santoriello, Andrea ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

k v2 f turbulence closure model; Stabilized high order finite elements; Turbomachinery flow; Variational multiscale method

Indexed keywords

AIRFOILS; FINITE ELEMENT METHOD; FLOW OF FLUIDS;

ADVECTIVE-DIFFUSIVE-REACTIVE EQUATIONS; CRUDER MESHES; TURBOMACHINERY FLOWS; TWO-DIMENSIONAL TESTS;

TURBOMACHINERY;

FINITE ELEMENT METHOD; TURBOMACHINERY;

EID: 23444435066     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.11.013     Document Type: Article

References (31)

1. D. Borello A. Corsini F. Rispoli A finite element overlapping scheme for turbomachinery flows on parallel platforms Comput. & Fluids 32 2003 1017-1047
2. F. Brezzi L.P. Franca T.J.R. Hughes A. Russo b = ∫ g Comput. Methods Appl. Mech. Engrg. 145 1997 329-339
3. F. Brezzi D. Marini A. Russo Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems Comput. Methods Appl. Mech. Engrg. 166 1998 51-63
4. R. Codina A stabilized finite element method for generalized stationary incompressible flows Comput. Methods Appl. Mech. Engrg. 190 2001 2681-2706
5. R. Codina E. Oñate M. Cervera The intrinsic time for the streamline upwind/Petrov-Galerkin formulation using quadratic elements Comput. Methods Appl. Mech. Engrg. 94 1992 239-262
6. D. Coles A.J. Wadcock Flying hot-wire study of flow past a NACA 4412 airfoil at maximum lift AIAA J. 17 1979 321-329
7. A. Corsini, F. Rispoli, A. Santoriello, A new stabilized finite element method for advection-diffusion-reaction equations using quadratic elements, in: T. Lajos, J. Vad (Ed.), CMFF'03 Conference Proceedings, vol.2, Department of Fluid Mechanics, Budapest University of Technology and Economics, 2003, pp. 791-799
8. 2 Model AIAA J. 33 1995 659-664
9. L.P. Franca C. Farhat Bubble functions prompt unusual stabilized finite element methods Comput. Methods Appl. Mech. Engrg. 123 1995 299-308
10. L.P. Franca F. Valentin On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation Comput. Methods Appl. Mech. Engrg. 190 2001 1785-1800
11. E. Guilmineau J. Piquet P. Queutey Two-dimensional turbulent viscous flow simulation past airfoils at fixed incidence Comput. & Fluids 26 1997 135-162
12. K. Hanjalic I. Hadzic S. Jakirlic Modeling turbulent wall flows subjected to strong pressure variations J. Fluids Engrg. 121 1999 57-64
13. I. Harari T.J.R. Hughes Stabilized finite element methods for steady advection-diffusion with production Comput. Methods Appl. Mech. Engrg. 115 1994 165-191
14. G. Hauke A simple subgrid scale stabilized method for the advection-diffusion-reaction equation Comput. Methods Appl. Mech. Engrg. 191 2001 2925-2947
15. G. Hauke A. Garcia-Olivares Variational subgrid scale formulations for the advection-diffusion-reaction equation Comput. Methods Appl. Mech. Engrg. 190 2001 6847-6865
16. T.J.R. Hughes Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origin of stabilized methods Comput. Methods Appl. Mech. Engrg. 127 1995 387-401
17. T.J.R. Hughes A.N. Brooks Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations Comput. Methods Appl. Mech. Engrg. 32 1982 199-259
18. T.J.R. Hughes A.N. Brooks A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions: Application to the Streamline-Upwind procedure Finite Elem. Fluids 4 1982 47-65
19. T.J.R. Hughes G.R. Feijúo L. Mazzei J.-B. Quincy The variational multiscale method - a paradigm for computational mechanics Comput. Methods Appl. Mech. Engrg. 166 1998 3-24
20. S. Idelsohn N. Nigro M. Storti G. Buscaglia A Petrov-Galerkin formulation for advection-reaction-diffusion problems Comput. Methods Appl. Mech. Engrg. 136 1996 27-46
21. P.K. Kythe P. Puri M.R. Schaferkotter Partial Differential Equations and Boundary Value Problems with Mathematica Second ed. 2003 CRC press
22. B.P. Leonard A survey of finite differences of opinion on numerical muddling of the incomprehensible defective confusion equation in: T.J.R. Hughes (Ed.) Finite Element Methods for Convection-dominated Flow, AMD vol. 34 1979 ASME New York
23. F.S. Lien, G. Kalitzin, P.A. Durbin, RANS modeling for compressible and transitional flows, in: Proceedings of the Summer Program 1998, Center for Turbulence Research-Stanford University, 1998, pp. 267-286
24. R. Manceau K. Hanjalic Elliptic blending model: A near-wall Reynolds-stress turbulence closure Phys. Fluids 14-3 2001 1-11
25. A. Masud R.A. Khurram A multiscale/stabilized finite element method for the advection-diffusion equation Comput. Methods Appl. Mech. Engrg. 193 2004 1997-2018
26. A.A. Oberai P.M. Pinski A multiscale finite element method for the Helmoltz equation Comput. Methods Appl. Mech. Engrg. 154 1998 281-297
27. G.F. Roach Green's Functions - introductory Theory with Applications 1970 VNR London
28. Y. Saad A flexible inner-outer preconditioned GMRes algorithm SIAM J. Sci. Statistical Comput. 14 1993 461-469
29. R.L. Sani P.M. Gresho R.L. Lee D.F. Griffiths The cause and cure (?) of spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations: Part 1 Int. J. Num. Meth. Fluids 1 1981 17-43
30. T.E. Tezduyar S. Mittal S.E. Ray R. Shih Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements Comput. Methods Appl. Mech. Engrg. 95 1992 221-242
31. T.E. Tezduyar Y.J. Park Discontinuity capturing finite element formulations for nonlinear convection-diffusion-reaction problems Comput. Methods Appl. Mech. Engrg. 59 1986 307-325