On the interaction between dynamic model dissipation and numerical dissipation due to streamline upwind/Petrov-Galerkin stabilization

Computer Methods in Applied Mechanics and Engineering

Volumn 194, Issue 9-11, 2005, Pages 1225-1248

  Tejada Martínez, Andrés E ^a,b   Jansen, Kenneth E ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

^b OLD DOMINION UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DYNAMICS; FINITE ELEMENT METHOD; GALERKIN METHODS; MATHEMATICAL MODELS; OPEN CHANNEL FLOW;

DYNAMIC MODEL DISSIPATION; LARGE-EDDY SIMULATION MODEL; TURBULENT CHANNEL FLOW;

ENERGY DISSIPATION;

MATHEMATICAL METHOD;

EID: 12344298501     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.06.037     Document Type: Article

References (29)

1. C. Baiocchi F. Brezzi L.P. Franca Virtual bubbles and the Galerkin/least squares method Comput. Methods Appl. Mech. Engrg. 105 1993 125-142
2. J.P. Boris F.F. Grinstein E.S. Oran R.L. Kolbe New insights into large eddy simulation Fluid Dyn. Res. 10 1992 199-228
3. A.N. Brooks T.J.R. Hughes 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
4. R. Codina J. Blasco Analysis of a stabilized finite element approximation of the transient convection-diffusion-reaction equation using orthogonal aubscales Comput. Visualization Sci. 4 2002 167-174
5. M. Germano U. Piomelli P. Moin W.H. Cabot A dynamic subgrid-scale eddy viscosity model Phys. Fluids 3 1991 1760
6. G. Hauke T.J.R. Hughes A comparative study of different sets of variables for solving compressible and incompressible flows Comput. Methods Appl. Mech. Engrg. 153 1998 1-44
7. K. Horiuti The role of the Bardina model in large eddy simulation of turbulent channel flow Phys. Fluids A 1989 426-428
8. T.J.R. Hughes Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods Comput. Methods Appl. Mech. Engrg. 127 1995 387-401
9. T.J.R. Hughes L.P. Franca M. Balestra A new finite element formulation for fluid dynamics: V. A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations Comput. Methods Appl. Mech. Engrg. 59 1986 85-99
10. T.J.R. Hughes L. Mazzei K.E. Jansen Large-eddy simulation and the variational multiscale method Comput. Visualization Sci. 3 2000 47-59
11. T.J.R. Hughes The Finite Element Method: Linear Static and Dynamic Finite Element Analysis 1987 Prentice Hall Englewood Cliffs, NJ
12. K.E. Jansen, C.H. Whiting, G.M. Hulbert. A generalized-α method for integrating the filtered Navier-Stokes equations with a stabilized finite element method. Comput. Methods Appl. Mech. Engrg., 1999. Contributed to a special volume devoted to the Japan-US Symposium on F.E.M. in Large-Scale C.F.D., SCOREC Report 10-1999
13. J. Kim P. Moin R. Moser Turbulence statistics in fully developed channel flow at low Reynolds number J. Fluid Mech. 177 1987 133
14. D. Knight, G. Zhou, N. Okong'o, V. Shukla, Compressible large eddy simulation using unstructured grids. Number 98-0535. AIAA Annual Meeting and Exhibit, 1998
15. D.K. Lilly A proposed modification of the Germano subgrid-scale closure Phys. Fluids 3 1992 2746-2757
16. T.S. Lund, On the use of discrete filters for large-eddy simulatio, in: Annual Research Briefs, NASA Ames/Stanford University, 1997. Center for Turbulence Research, pp. 83-95
17. τ = 590 Phys. Fluids 11 1999 943-945
18. F.M. Najjar D.K. Tafti Study of discrete test filters and finite difference approximations for the dynamic subgrid-stress model Phys. Fluids 8 1996 1076-1088
19. A. Okong'o, D. Knight. Compressible large eddy simulation using unstructured grids: Channel and boundary layer flows. Number 98-3315. AIAA Annual Meeting and Exhibit, 1998
20. S.B. Pope Turbulent Flows 2000 Cambridge University Press
21. W.C. Reynolds, The potential and limitations of direct and large eddy simulations, in: J.L. Lumley (ed.), Whither Turbulence? Turbulence at the Crossroads, volume 357 of Lecture Notes in Physics. Berlin: Springer-Verlag, 1990, pp. 313-343
22. F. Shakib, Finite element analysis of the compressible Euler and Navier-Stokes equations. PhD thesis, Stanford University, 1989
23. J. Smagorinsky General circulation experiments with the primitive equations, I. The basic experiment Monthly Weather Rev. 91 1963 99-152
24. T. Tamura, K. Kuwahara, Numerical analysis on aerodynamic characteristics of an inclined square cylinder. Number 89-1805. AIAA Annual Meeting and Exhibit, 1989
25. C.A. Taylor T.J.R. Hughes C.K. Zarins Finite element modeling of blood flow in arteries Comput. Methods Appl. Mech. Engrg. 158 1998 155-196
26. A.E. Tejada-Martínez, Dynamic subgrid-scale modeling for large-eddy simulation of turbulent flows with a stabilized finite element method. PhD thesis, Rensselaer Polytechnic Institute, Nov. 2002
27. A.E. Tejada-Martínez K.E. Jansen Spatial test filters for dynamic model large-eddy simulation on finite elements Commun. Numer. Methods Engrg. 19 2003 205-213
28. C.H. Whiting K.E. Jansen A stabilized finite element method for the incompressible Navier-Stokes equations using a hierarchical basis Int. J. Numer. Methods Fluids 35 2001 93-116
29. Y. Zang R.L. Street J.R. Koseff A dynamic mixed subgrid-scale model and its application to turbulent recirculating flows Phys. Fluids A 5 1993 3186