Finite element computation of turbulent flows with the discontinuity-capturing directional dissipation (DCDD)

Computers and Fluids

Volumn 36, Issue 1, 2007, Pages 121-126

  Rispoli, Franco ^a   Corsini, Alessandro ^a   Tezduyar, Tayfun E ^b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b Rice University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL FLOW; FINITE ELEMENT METHOD; GALERKIN METHODS; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; REYNOLDS NUMBER;

DISCONTINUITY-CAPTURING DIRECTIONAL DISSIPATION (DCDD); FINITE ELEMENT COMPUTATION; FLOW PROBLEMS;

TURBULENT FLOW;

CHANNEL FLOW; FINITE ELEMENT METHOD; GALERKIN METHODS; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; REYNOLDS NUMBER; TURBULENT FLOW;

EID: 33750358053     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2005.07.004     Document Type: Article

References (28)

1. Sagaut P. Large eddy simulation for incompressible flows-an introduction (1998), Springer-Verlag, New York
2. Dubois T., Jauberteau F., and Temam R. Solution of the incompressible Navier-Stokes equations by the nonlinear Galerkin method. J Sci Comput 8 (1993) 167-194
3. Hughes T.J.R. Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles, and the origins of stabilized methods. Comput Methods Appl Mech Eng 127 (1995) 387-401
4. Hughes T.J.R., Mazzei L., and Jansen K.E. Large eddy simulation and the variational multiscale method. Comput Visual Sci 3 (2000) 47-59
5. Hughes T.J.R., Mazzei L., Oberai A.A., and Wray A.A. The multiscale formulation of large eddy simulation: decay of homogeneous isotropic turbulence. Phys Fluids 13 (2001) 505-512
6. Jansen K.E. A stabilized finite element method for computing turbulence. Comput Methods Appl Mech Eng 174 (1999) 299-317
7. Hughes T.J.R., and Brooks A.N. A multi-dimensional upwind scheme with no crosswind diffusion. In: Hughes T.J.R. (Ed). Finite element methods for convection dominated flows AMD-vol. 34 (1979), ASME, New York 19-35
8. Brooks A.N., and Hughes T.J.R. Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Comput Methods Appl Mech Eng 32 (1982) 199-259
9. Tezduyar TE, Hughes TJR. Finite element formulations for convection dominated flows with particular emphasis on the compressible Euler equations. In: Proceedings of AIAA 21st Aerospace Sciences Meeting, AIAA Paper 83-0125. Reno, Nevada: 1983.
10. Hughes T.J.R., and Tezduyar T.E. Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations. Comput Methods Appl Mech Eng 45 (1984) 217-284
11. Tezduyar T.E. Stabilized finite element formulations for incompressible flow computations. Adv Appl Mech 28 (1992) 1-44
12. Tezduyar T.E., and Park Y.J. Discontinuity capturing finite element formulations for nonlinear convection-diffusion-reaction equations. Comput Methods Appl Mech Eng 59 (1986) 307-325
13. Hughes T.J.R., Franca L.P., and Balestra M. A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations. Comput Methods Appl Mech Eng 59 (1986) 85-99
14. Tezduyar T.E., and Osawa Y. Finite element stabilization parameters computed from element matrices and vectors. Comput Methods Appl Mech Eng 190 (2000) 411-430
15. Tezduyar T.E. Computation of moving boundaries and interfaces and stabilization parameters. Int J Numer Methods Fluids 43 (2003) 555-575
16. Tezduyar T., and Sathe S. Stabilization parameters in SUPG and PSPG formulations. J Comput Appl Mech 4 (2003) 71-88
17. Tezduyar T.E. Finite element methods for fluid dynamics with moving boundaries and interfaces. In: Stein E., De Borst R., and Hughes T.J.R. (Eds). Encyclopedia of computational mechanics. Fluids vol. 3 (2004), John Wiley & Sons [Chapter 17]
18. Tezduyar TE. Adaptive determination of the finite element stabilization parameters. In: Proceedings of the ECCOMAS Computational Fluid Dynamics Conference 2001 (CD-ROM). Swansea, Wales, United Kingdom: 2001.
19. Leonard B.P. A stable and accurate convective modeling procedure based on quadratic upstream interpolation. Comput Methods Appl Mech Eng 19 (1979) 59-98
20. Kawamura T, Kuwahara K. Computation of high reynolds number flow around a circular cylinder with surface roughness. In: AIAA 22nd Aerospace Sciences Meeting. Reno, Nevada: 1984.
21. Engquist B., Lotstedt P., and Sjogreen B. Nonlinear filter for efficient shock computation. Math Comput 52 (1989) 509-536
22. Borello D, Borrelli P, Quagliata E, Rispoli F. A multi-grid additive and distributive parallel algorithm for finite element turbomachinery CFD. In: Proceedings of the ECCOMAS Computational Fluid Dynamics Conference 2001 (CD-ROM). Swansea, Wales, United Kingdom: 2001.
23. Borello D., Corsini A., and Rispoli F. A finite element overlapping scheme for turbomachinery flows on parallel platforms. Comput Fluids 32/7 (2003) 1017-1047
24. Rispoli F, Borrelli P,Tezduyar TE. Discontinuity-capturing directional dissipation (DCDD) in computation of turbulent flows. In: Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 (CD-ROM). Jyvaskyla, Finland: 2004.
25. Rispoli F, Borrelli P, Tezduyar TE. Computation of turbulent flows with the discontinuity-capturing directional dissipation DCDD. In: Proceedings of the 6th World Congress on Computational Mechanics (CD-ROM). Beijing, China: 2004.
26. Rispoli F., Borrelli P., and Tezduyar T.E. DCDD in finite element computation of turbulent flows. Proc of the 6th World Congress on Computational Mechanics (2004), Tsinghua University Press & Springer-Verlag, Beijing, China
27. Kim J., Moin P., and Moser R. Turbulence statistics in fully developed channel flow at low Reynolds number. J Fluid Mech 177 (1987) 133-166
28. Dean R.B. Reynolds number dependence of skin friction and other bulk flow variables in two-dimensional rectangular duct flow. J Fluids Eng 10 (1978) 215-223