A modal-based multiscale method for large eddy simulation

Journal of Computational Physics

Volumn 224, Issue 1, 2007, Pages 389-402

  Munts, E A ^a   Hulshoff, S J ^a   de Borst, R ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Finite element method; Large eddy simulation; Turbulence simulation; Variational multiscale method

Indexed keywords

CHANNEL FLOW; DEGREES OF FREEDOM (MECHANICS); LARGE EDDY SIMULATION; WALL FLOW;

COMPLEX FLOW; FLOW GEOMETRIES; LARGE-EDDY SIMULATIONS; MODAL BASIS; MULTI-SCALE APPROACHES; MULTISCALE METHOD; SPECTRAL ELEMENT METHOD; TURBULENCE SIMULATION; VARIATIONAL MULTISCALE; VARIATIONAL MULTISCALE METHODS;

FINITE ELEMENT METHOD;

EID: 34248199280     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.03.004     Document Type: Article

References (30)

1. Collis S.S. Monitoring unresolved scales in multiscale turbulence modeling. Phys. Fluids 13 (2001) 1800-1806
2. S.S. Collis, The DG/VMS method for unified turbulence simulation, AIAA paper 2002-3124, 2002.
3. S.S. Collis, Multiscale methods for turbulence simulation and control, in: 32nd Computational Fluid Dynamics Lecture Series, von Karman Institute, 2002.
4. S.S. Collis, K. Ghayour, Discontinuous Galerkin methods for compressible DNS, in: Proceedings of FEDSM, ASME/JSME Joint Fluids Engineering Conference, 2003.
5. S.S. Collis, S. Ramakrishnan, The local variational multiscale method, in: Third MIT Conference on Computational Fluid and Solid Dynamics, 2005.
6. Hauke G., and Hughes T.J.R. A comparative study of different sets of variables for solving compressible and incompressible flows. Comput. Methods Appl. Mech. Engrg. 153 (1998) 1-44
7. 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. Engrg. 127 (1995) 387-401
8. Hughes T.J.R. A space-time formulation for multiscale phenomena. J. Comp. Appl. Math. 74 (1996) 217-229
9. T.J.R. Hughes, V.M. Calo, G. Scovazzi, Variational and multiscale methods in turbulence, ICES report 04-46, 2004.
10. Hughes T.J.R., Feijóo G.R., Mazzei L., and Quincy J.B. The variational multiscale method - a paradigm for computational mechanics. Comput. Methods Appl. Mech. Engrg. 166 (1998) 3-24
11. Hughes T.J.R., Mazzei L., and Jansen K.E. Large eddy simulation and the variational multiscale method. Comp. Vis. Sci. 3 (2000) 47-59
12. Hughes T.J.R., Mazzei L., and Oberai A.A. The multiscale formulation of large eddy simulation: decay of homogeneous isotropic turbulence. Phys. Fluids 13 (2001) 505-512
13. Hughes T.J.R., Oberai A.A., and Mazzei L. Large eddy simulation of turbulent channel flow by the variational multiscale method. Phys. Fluids 13 (2001) 1784-1799
14. K.E. Jansen, A.E. Tejada-Martínez, An evaluation of the variational multiscale method for large-eddy simulation while using a hierarchical basis, AIAA paper 2002-0283, 2002.
15. Karniadakis E.M., and Sherwin S.J. Spectral/hp Element Methods for CFD (1999), Oxford University Press, Oxford
16. 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
17. Koobus B., and Farhat C. A variational multiscale method for the large eddy simulation of compressible turbulent flows on unstructured meshes - application to vortex shedding. Comput. Methods Appl. Mech. Engrg. 193 (2004) 1367-1383
18. Martin M.P., Piomelli U., and Candler G.V. Subgrid-scale models for compressible large-eddy simulations. Theoret. Comput. Fluid Dynamics 13 (2000) 361-376
19. E.A. Munts, Space-time multiscale methods for large Eddy simulation, PhD thesis, Delft University of Technology, 2006.
20. A.A. Oberai, T.J.R. Hughes, The variational multiscale formulation of LES: channel flow at Re = 590, AIAA paper 2002-1056, 2002.
21. Pope S.B. Turbulent Flows (2000), Cambridge University Press, Oxford
22. Ramakrishnan S., and Collis S.S. Partition selection in multiscale turbulence modeling. Phys. Fluids 8 (2006)
23. S. Ramakrishnan, S.S. Collis, Multiscale modeling for turbulence simulation in complex geometries, AIAA paper 2004-0241, 2004.
24. Ramakrishnan S., and Collis S.S. Turbulence control using the variational multiscale method. AIAA J. 42 (2004) 745-753
25. S. Ramakrishnan, S.S. Collis, The local variational multi-scale method for turbulence simulation, Sandia Report, SAND2005-2733, 2005.
26. Schlichting H., and Gersten K. Boundary Layer Theory. eighth revised and enlarged ed. (2000), Springer, Berlin
27. F. Shakib, Finite element analysis of the compressible Euler and Navier-Stokes equations, PhD Thesis, Stanford University, 1988.
28. Smagorinsky J., and The basic experiment G.c.e.w.t.p.equations.I. Mon. Weather Rev. 91 (1963) 99-164
29. Vreman A.W. The filtering analog of the variational multiscale method in large-eddy simulation. Phys. Fluids 15 (2003) L61-L64
30. W. Wang, Coupled compressible and incompressible finite volume formulations for the large eddy simulation of turbulent flow with and without heat transfer, PhD thesis, Iowa State University, 1995.