A dynamic multilevel model for the simulation of the small structures in homogeneous isotropic turbulence

Journal of Scientific Computing

Volumn 13, Issue 3, 1998, Pages 323-367

  Dubois, T ^a   Jauberteau, F ^a  

^a UNIVERSITÉ BLAISE PASCAL   (France)

Author keywords

Direct numerical simulation; Filtering; Multilevel methods; Small scales; Turbulence

Indexed keywords

BOUNDARY LAYERS; COMPUTER SIMULATION; KINETIC ENERGY; MATHEMATICAL MODELS; PROBABILITY DISTRIBUTIONS; REYNOLDS NUMBER; STATISTICAL METHODS; TURBULENT FLOW; ALGORITHMS; FLUID STRUCTURE INTERACTION; SYSTEM STABILITY; TURBULENCE;

DIRECT NUMERICAL SIMULATIONS (DNS); MULTILEVEL METHODS; NUMERICAL MODELING; SMALL SCALES; DYNAMIC MULTILEVEL MODELS; HOMOGENEOUS ISOTROPIC TURBULENCE;

TURBULENCE; TURBULENT FLOW;

EID: 0032154342     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023223217210     Document Type: Article

References (31)

1. Batchelor, G. K. (1953). Theory of Homogeneous Turbulence, Cambridge University Press.
2. Burie, J. B., and Marion, M. (1997). Multi-level methods in space and time for the Navier-Stokes equations. SIAM J. Num. Anal. 34.
3. Canuto, C., Hussaini, Y., Quarteroni, A., and Zang, T. A. (1988). Spectral Methods in Fluid Dynamics, Springer Verlag, New York.
4. Chen, S., Doolen, G. D., Kraichnan, R. H., and She, Z. S. (1993). On statistical correlations between velocity increments and locally averaged dissipation in homogeneous turbulence. Phys. Fluids A 5 (2), 458-463.
5. Deardorflf, J. W. (1970). A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. J. Fluid Mech. 41. 453-480.
6. Debussche, A., Dubois, T., and Temam, R. (1995). The nonlinear Galerkin method: A multi-scale method applied to the simulation of homogeneous turbulent flows. Theoret. Comput. Fluid Dyn. 7 (4), 279-315.
7. Dubois, T., Jauberteau, F., and Temam, R. (1993). Solution of the incompressible Navier-Stokes equations by the nonlinear Galerkin method. J. Sci. Comput. 8 (2), 167-184.
8. Dubois, T., Jauberteau, F., and Zhou, Y. (1997). Influences of subgrid scale dynamics on resolvable scale statistics in large-eddy simulations. Physica D 100, 390-406.
9. Erlebacher, G., Hussaini, M. Y., Speziale, C. G., and Zang, T. A. (1992). Toward the large-eddy simulation of compressible turbulent flows. J. Fluid Mech. 238, 155-185.
10. Foias, C., Maniey, O. P., and Temam, R. (1988). Modeling on the interaction of small and large eddies in two-dimensional turbulent flows. Math. Mod. and Num. Anal. (M2AN) 22(1), 93-114.
11. Jauberteau, F. (1990). Résolution Numérique des Equations de Navier-Stokes Instationnaires par Méhodes Spectrales. Méthodes de Galerkin non Linéaire, Thesis, Université de Paris-Sud.
12. Jauberteau, F., Rosier, C. and Temam, R. (1989). The nonlinear Galerkin method in computational fluid dynamics. Applied Numerical Mathematics 6, 361-370.
13. Jauberteau, F., Rosier, C., and Temam, R. (1990). A nonlinear Galerkin method for the Navier-Stokes equations. Comput. Math. Appl. Mech. Eng. 80, 245-260.
14. Jimenez, J., Wray, A. A., Saffman, P. G., and Rogallo, R. S. (1993). The structure of intense vorticity in Isotropic turbulence. J. Fluid Mech. 255, 65-90.
15. Kerr, R. M. (1985). Higher-order derivative correlations and the alignment of small-scale structures in Isotropie numerical turbulence. J. Fluid Mech. 153, 31-58.
16. Lions, J. L., Temam, R., and Wang, S. (1996). Splitting up methods and numerical analysis of some multiscale problems. Comput. Fluid Dyn. J. (special issue dedicated to A. Jameson) 5(2). 157-202.
17. Manley, O. P. (1992). The dissipation range spectrum. Phys. Fluids A 4(6), 1320-1321.
18. Moin, P., and Kim, J. (1982). Numerical investigation of turbulent channel flow. J. Fluid Mech. 118, 341-377.
19. Monin, A. S., and Yaglom, A. M. (1975). Statistical Fluid Mechanics, Vol. 2, MIT Press.
20. Orszag, S. A. (1973). Lecture on the Statistical Theory of Turbulence. Proc. Summer School in Theoretical Physics, Les Houches.
21. Orszag, S. A., and Patterson, G. S. (1972). Numerical simulation of three-dimensional homogeneous isotropic turbulence. Phys. Rev. Lett. 28, 76.
22. Reynolds, O. (1895). On the dynamical theory of incompressible viscous fluids and the determination of the criterion. Phil. Trans. Roy. Soc. London A 186, 123-164.
23. Schumann, U. (1975). Subgrid scale model for finite difference simulations of turbulent flows in plane channels and annuli, J. Comput. Phys. 18, 376-404.
24. She, Z. S., Jackson, E., and Orszag, S. A. (1988). Scale-dependent intermittency and coherence in turbulence. J. Sci. Comput. 3(4), 407-434.
25. Siggia, E. D. (1981). Numerical study of small-scale intermittency in three-dimensional turbulence. J. Fluid Mech. 107. 375-406.
26. Siggia, E. D., and Patterson, G. S. (1978). Intermittency effects in a numerical simulation of stationary three-dimensional turbulence. J. Fluid mech. 86(3), 567-592.
27. Smagorinsky, J. (1963). General circulation experiments with the primitive equations: I. The basic experiment. Monthly Weather Rev. 91, 99-164.
28. Smith, L. M., and Reynolds, W. C. (1991). The dissipation-range spectrum and the velocity-derivative skewness in turbulent flows. Phys. Fluids A 3, 992.
29. Temam, R. (1996). Multilevel methods for the simulation of turbulence. A simple model. J. Comput. Phys. 127, 309-315.
30. Vincent, A., and Meneguzzi, M. (1991). The spatial structure and statistical properties of homogeneous turbulence. J. Fluid Mech. 225, 1-20.
31. Woodward, P. R., Porter, D. H., Edgar, B. K., Anderson, S., and Bassett, G. (1995). Parallel computation of turbulent fluid flow. Comp. Appl. Math. 14(1), 97-105.