Polynomial chaos expansion of a Lagrangian model for the flow around an airfoil;Développement en polynômes de chaos d'un modèle lagrangien d'écoulement autour d'un profil

Comptes Rendus - Mecanique

Volumn 334, Issue 11, 2006, Pages 693-699

  Le Maître, Olivier ^a,b  

^a UNIVERSITÉ D EVRY VAL D ESSONNE   (France)

^b CNRS   (France)

Author keywords

Computational fluid mechanics; Lagrangian method; Polynomial chaos; Stochastic problem

Indexed keywords

AIRFOILS; CHAOS THEORY; INCOMPRESSIBLE FLOW; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; POLYNOMIALS; VORTEX FLOW;

AIRFLOW; CHAOTIC DYNAMICS; LAGRANGIAN ANALYSIS; STOCHASTICITY; VORTICITY;

EID: 33750707257     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2006.10.001     Document Type: Article

References (8)

1. Ghanem R.G., and Spanos P.D. Stochastic Finite Elements: A Spectral Approach (1991), Springer-Verlag, Berlin/New York
2. Le Maître O.P., Knio O.M., Najm H.N., and Ghanem R.G. A stochastic projection method for fluid flow. I. Basic formulation. J. Comput. Phys. 173 2 (2001) 481-511
3. Knio O., and Le Maître O. Uncertainty propagation in CFD using polynomial chaos decompositions. Fluid Dynam. Res. 38 (2006) 616-640
4. Katz J., and Plotkin A. Low Speed Aerodynamics. second ed. (2000), Cambridge Univ. Press, New York
5. Rosenhead L. The formation of vortices from a surface of discontinuity. Proc. Royal Soc. 38 (1931)
6. Wiener N. The homogeneous chaos. Amer. J. Math. 60 (1938) 897-936
7. Cameron R.H., and Martin W.T. The orthogonal development of nonlinear functionals in series of Fourier-Hermite functionals. Ann. Math. 48 (1947) 385-392
8. Slepian D., and Pollak H. Prolate spheroidal wave functions; Fourier analysis and uncertainty-I. Bell System Technical J. (1961) 3-63