Large Eddy simulations of flow around a cylinder with uncertain wall heating

47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition

Volumn , Issue , 2009, Pages

  Iaccarino, Gianluca ^a   Constantine, Paul ^a  

^a Stanford University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDERS (SHAPES); GALERKIN METHODS; HEAT FLUX; HEAT TRANSFER; REYNOLDS NUMBER; STOCHASTIC SYSTEMS; UNCERTAINTY ANALYSIS;

CONVERGENCE PROPERTIES; EPISTEMIC UNCERTAINTIES; EXPECTATION AND VARIANCE; FLOW AND HEAT TRANSFER; FLOW AROUND A CYLINDER; STOCHASTIC COLLOCATION; STOCHASTIC GALERKIN METHODS; UNCERTAINTY PROPAGATION;

LARGE EDDY SIMULATION;

EID: 78549276570     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2009-975     Document Type: Conference Paper

References (16)

1. R. Ghanem, P. Spanos, Stochastic Finite Elements: A Spectral Approach, Springer-Verlag, New York, 1991.
2. D. Xiu, J.S. Hesthaven, High order collocation methods for the differential equations with random inputs, SIAM J. Sci. Comput. 27 (2005) 1118-1139.
3. J. Glimm, Sharp, D. H., Prediction and the quantification of uncertainty Physica D 133 pp. 152170 (1999).
4. Simoneau, R.J., Simon, F.F., Progress towards understanding and predicting heat transfer in the turbine gas path. Int. J. Heat Fluid Flow 14 (2), 106128. 1992.
5. P. A. Durbin, B. A. Petterson-Reif. Statistical Theory and Modeling for Turbulent Flows. Wiley, New York, 2001.
6. F. R. Menter, Zonal two equation k-w turbulence model predictions, AIAA 93-2906, 1993.
7. P. Constantine, A. Doostan, G. Iaccarino, A Hybrid Uncertainty Propagation Scheme for Convective Heat Transfer Problems, AIAA, 2008-1723.
8. Catalano, P., Wang, M., Iaccarino, G., Moin, P., Numerical simulation of the Flow around a Circular Cylinder at High Reynolds Numbers, International Journal of Heat and Fluid Flow, Vol. 24, 463-469, 2003.
9. R. Cameron, W. Martin, The orthogonal development of nonlinear functionals in series of Fourier-Hermite functionals, Ann. of Math. (2), 48 (1947) 385-392.
10. P. Constantine, A. Doostan, G. Iaccarino, Assessing stochastic collocation methods for analysis of turbulent flow around cylinders, submitted, 2008.
11. Fluent Inc., FLUENT 6.1 User's Guide, Lebanon, New Hampshire, 2003.
12. Constantine, P, D. Gleich, Iaccarino, G., A Spectral Galerkin Methd for Random Matrix Equations submitted to SIMAX Journal, 2008.
13. B. Ganapathysubramanian, N. Zabaras, Sparse grid collocation schemes for stochastic natural convection problems, J. Comput. Phys. (2007), doi:10.1017/j.jcp.2006.12.014.
14. F. Nobile, R. Tempone and C.G. Webster. A sparse grid stochastic collocation method for partial differential equations with random input data. Report number: TRITA-NA 2007:07. To appear SINUM.
15. D. Xiu, G. Karniadakis, The Wiener-Askey polynomial chaos for stochastic differential equations, SIAM J. on Sci. Comput., 24 (2002) 619-644.
16. N. Wiener, The homogeneous chaos, Amer. J. Math., 60 (1938) 897-936.