B-Spline Method and Zonal Grids for Simulations of Complex Turbulent Flows

Journal of Computational Physics

Volumn 151, Issue 2, 1999, Pages 757-789

  Kravchenko, Arthur G ^a   Moin, Parviz ^a   Shariff, Karim ^b  

^a Stanford University   (United States)

^b NASA AMES RESEARCH CENTER   (United States)

Author keywords

Galerkin B spline methods; Turbulence simulations; Zonal grids

Indexed keywords

ADVECTION; INTERPOLATION; NONLINEAR EQUATIONS; NUMERICAL METHODS; REYNOLDS NUMBER; TURBULENT FLOW;

B SPLINES; B-SPLINE METHOD; COMPLEX TURBULENT FLOWS; EMBEDDINGS; FLOW REGIONS; GALERKIN B-SPLINE METHOD; NUMERICAL TECHNIQUES; NUMERICAL TESTS; TURBULENCE SIMULATION; ZONAL GRID;

CIRCULAR CYLINDERS;

EID: 0001499647     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1999.6217     Document Type: Article

References (36)

1. Moin P., Jimenez J. Large eddy simulation of complex turbulent flows. AIAA 24th Fluid Dynamics Conference, Orlando, FL, July 6-9, 1993. 1993.
2. Deardorff J. W. A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. J. Fluid Mech. 41:1970;453.
3. Schumann U. Subgrid scale model for finite-difference simulations of turbulent flows in plane channels and annuli. J. Comput. Phys. 18:1975;376.
4. Cabot W. Large eddy simulations with wall models. CTR Annual Research Briefs. 1995;41.
5. Rai M. M. An implicit, conservative, zonal-boundary scheme for Euler equation calculations. Comput. & Fluids. 14:1986;295.
6. Rai M. M., Moin P. Direct numerical simulation of transition and turbulence in a spatially evolving boundary layer. J. Comput. Phys. 109:1993;169.
7. Kallinderis Y. Numerical treatment of grid interfaces for viscous flows. J. Comput. Phys. 98:1992;129.
8. Zang Y., Street R. L. A composite multigrid method for calculating unsteady incompressible flows in geometrically complex domains. Int. J. Numer. Methods Fluids. 20:1995;341.
9. Tu J. Y., Fuchs L. Overlapping grids and multigrid methods for three-dimensional unsteady flow calculations in IC engines. Int. J. Numer. Methods Fluids. 15:1992;693.
10. Sullivan P. P., McWilliams J. C., Moeng C.-H. A grid nesting method for large-eddy simulation of planetary boundary layers. Boundary-Layer Meteorol. 80:1996;167.
11. Boersma B. J., Kooper M. N., Nieuwstadt F. T., Wesseling P. Local grid refinement in large eddy simulations. J. Eng. Math. 32:1997;161.
12. Ghosal S. An analysis of numerical errors in large eddy simulations of turbulence. J. Comput. Phys. 125:1996;187.
13. Lund T., Kaltenbach H.-J. Experiments with explicit filtering for LES using finite-difference methods. CTR Annual Research Briefs. 1995;91.
14. Kravchenko A. G., Moin P. On the effect of numerical errors in large eddy simulations of turbulent flows. J. Comput. Phys. 131:1997;310.
15. Harlow F. H., Welch J. E. Numerical calculation of time-dependent viscous incompressible flow of fluid with free-surface. Phys. Fluids. 8:1965;2182.
16. Kim J., Moin P. Application of a fractional-step method to incompressible Navier-Stokes equations. J. Comput. Phys. 59:1985;308.
17. Morinishi Y. Conservative properties of finite-difference schemes for incompressible flow. CTR Annual Research Briefs. 1995;121.
18. Kravchenko A. G., Moin P., Moser R. Zonal embedded grids for numerical simulations of wall-bounded turbulent flows. J. Comput. Phys. 127:1996;412.
19. Shariff K., Moser R. D. Two-dimensional mesh embedding for B-spline methods. J. Comput. Phys. 145:1998;471.
20. Leonard A., Wray A. A new numerical method for simulation of three-dimensional flow in a pipe. Proceedings of International Conference on Numerical Methods in Fluid Dynamcis, 8th Aachen. 170:1982;335.
21. de Boor C. A Practical Guide to Splines. 1978.
22. Orszag S. A. On the elimination of aliasing in finite-difference schemes by filtering high-wavenumber components. J. Atmosph. Sci. 28:1971;1074.
23. Strang G., Fix G. J. An Analysis of the Finite Element Method. 1973.
24. Lele S. Compact finite-difference schemes with spectral-like resolution. J. Comput. Phys. 103:1992;16.
25. Mittal R., Balachandar S. Effect of three-dimensionality on the lift and drag of nominally two-dimensional cylinders. Phys. Fluids. 7:1995;1841.
26. Williamson C. H. K. Defining a universal and continuous Strouhal-Reynolds number relationship for the laminar vortex shedding of a circular cylinder. Phys. Fluids. 31:1988;2742.
27. Williamson C. H. K., Roshko A. Measurements of base pressure in the wake of a cylinder at low Reynolds numbers. Z. Flugwiss. Weltraumforsch. 14:1990;38.
28. Williamson C. H. K. Vortex dynamics in the cylinder wake. Annu. Rev. Fluid. Mech. 28:1996;477.
29. R. Mittal, 1996.
30. Henderson R. D. Details of the drag curve near the onset of vortex shedding. Phys. Fluids. 7:1995;2102.
31. Wieselsberger C. New Data on the Laws of Fluid Resistance. 1922.
32. Mittal R., Balachandar S. On the inclusion of three-dimensional effects in simulations of two-dimensional bluff body wake flows. Proceedings of ASME Fluids Engineering Division Summer Meeting, Vancouver, British Columbia, Canada, June 22-26, 1997. 1997.
33. Zhang H.-Q., Fey Y., Noack B. R. On the transition of the cylinder wake. Phys. Fluids. 7:1995;779.
34. Williamson C. H. K. The natural and forced formation of spot-like "vortex dislocations" in the transition of a wake. J. Fluid Mech. 243:1992;393.
35. Williamson C. H. K. Three-dimensional wake transition behind a cylinder. J. Fluid Mech. 328:1996;345.
36. Thompson M., Hourigan K., Sheridan J. Three-dimensional instabilities in the wake of a circular cylinder. Exper. Thermal Fluid Sci. 12:1996;190.