메뉴 건너뛰기




Volumn 198, Issue 3-4, 2008, Pages 578-591

An alternative unsteady adaptive stochastic finite elements formulation based on interpolation at constant phase

Author keywords

Fluid structure interaction; Random parameters; Stochastic finite elements; Uncertainty quantification; Unsteady problems

Indexed keywords

AIRFOILS; COMPUTATIONAL MECHANICS; FINITE ELEMENT METHOD; FLUID DYNAMICS; FLUID STRUCTURE INTERACTION; INTERPOLATION; MONTE CARLO METHODS; RANDOM PROCESSES;

EID: 55649083702     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2008.09.005     Document Type: Article
Times cited : (20)

References (30)
  • 1
    • 13844319204 scopus 로고    scopus 로고
    • Galerkin finite element approximations of stochastic elliptic partial differential equations
    • Babuśka I.M., Tempone R., and Zouraris G.E. Galerkin finite element approximations of stochastic elliptic partial differential equations. SIAM J. Numer. Anal. 42 2 (2004) 800-825
    • (2004) SIAM J. Numer. Anal. , vol.42 , Issue.2 , pp. 800-825
    • Babuśka, I.M.1    Tempone, R.2    Zouraris, G.E.3
  • 2
    • 34548216854 scopus 로고    scopus 로고
    • A stochastic collocation method for elliptic partial differential equations with random input data
    • Babuśka I.M., Nobile F., and Tempone R. A stochastic collocation method for elliptic partial differential equations with random input data. SIAM J. Numer. Anal. 45 3 (2007) 1005-1034
    • (2007) SIAM J. Numer. Anal. , vol.45 , Issue.3 , pp. 1005-1034
    • Babuśka, I.M.1    Nobile, F.2    Tempone, R.3
  • 3
    • 33746672013 scopus 로고    scopus 로고
    • Uncertainty quantification of limit cycle oscillations
    • Beran P.S., Pettit C.L., and Millman D.R. Uncertainty quantification of limit cycle oscillations. J. Comput. Phys. 217 1 (2006) 217-247
    • (2006) J. Comput. Phys. , vol.217 , Issue.1 , pp. 217-247
    • Beran, P.S.1    Pettit, C.L.2    Millman, D.R.3
  • 4
    • 34248191871 scopus 로고    scopus 로고
    • Mesh deformation based on radial basis function interpolation
    • de Boer A., van der Schoot M.S., and Bijl H. Mesh deformation based on radial basis function interpolation. Comput. Struct. 85 (2007) 784-795
    • (2007) Comput. Struct. , vol.85 , pp. 784-795
    • de Boer, A.1    van der Schoot, M.S.2    Bijl, H.3
  • 6
    • 0035964634 scopus 로고    scopus 로고
    • Solution of stochastic partial differential equations using Galerkin finite element techniques
    • Deb M.K., Babuśka I.M., and Oden J.T. Solution of stochastic partial differential equations using Galerkin finite element techniques. Comput. Methods Appl. Mech. Engrg. 190 (2001) 6359-6372
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 6359-6372
    • Deb, M.K.1    Babuśka, I.M.2    Oden, J.T.3
  • 10
    • 34250777758 scopus 로고    scopus 로고
    • S. Hosder, R.W. Walters, R. Perez, A non-intrusive polynomial chaos method for uncertainty propagation in CFD simulations, AIAA-2006-891, in: Forty Fourth AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 2006.
    • S. Hosder, R.W. Walters, R. Perez, A non-intrusive polynomial chaos method for uncertainty propagation in CFD simulations, AIAA-2006-891, in: Forty Fourth AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 2006.
  • 11
    • 0031655171 scopus 로고    scopus 로고
    • B.H.K. Lee, L.Y. Jiang, Y.S. Wong, Flutter of an airfoil with a cubic nonlinear restoring force, AIAA-1998-1725, in: Thirty Ninth AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Long Beach, CA, 1998.
    • B.H.K. Lee, L.Y. Jiang, Y.S. Wong, Flutter of an airfoil with a cubic nonlinear restoring force, AIAA-1998-1725, in: Thirty Ninth AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Long Beach, CA, 1998.
  • 13
    • 3242712896 scopus 로고    scopus 로고
    • Multi-resolution analysis of Wiener-type uncertainty propagation schemes
    • Le Maître O.P., Najm H.N., Ghanem R.G., and Knio O.M. Multi-resolution analysis of Wiener-type uncertainty propagation schemes. J. Comput. Phys. 197 (2004) 502-531
    • (2004) J. Comput. Phys. , vol.197 , pp. 502-531
    • Le Maître, O.P.1    Najm, H.N.2    Ghanem, R.G.3    Knio, O.M.4
  • 14
    • 18144432133 scopus 로고    scopus 로고
    • Airfoil pitch-and-plunge bifurcation behavior with Fourier chaos expansions
    • Millman D.R., King P.I., and Beran P.S. Airfoil pitch-and-plunge bifurcation behavior with Fourier chaos expansions. J. Aircraft 42 2 (2005) 376-384
    • (2005) J. Aircraft , vol.42 , Issue.2 , pp. 376-384
    • Millman, D.R.1    King, P.I.2    Beran, P.S.3
  • 16
    • 2542483990 scopus 로고    scopus 로고
    • Noisy inflows cause a shedding-mode switching in flow past an oscillating cylinder
    • Lucor D., and Karniadakis G.E. Noisy inflows cause a shedding-mode switching in flow past an oscillating cylinder. Phys. Rev. Lett. 9215 15 (2004) 4501
    • (2004) Phys. Rev. Lett. , vol.9215 , Issue.15 , pp. 4501
    • Lucor, D.1    Karniadakis, G.E.2
  • 17
    • 23944518704 scopus 로고    scopus 로고
    • Stochastic approaches to uncertainty quantification in CFD simulations
    • Mathelin L., Hussaini M.Y., and Zang Th.A. Stochastic approaches to uncertainty quantification in CFD simulations. Num. Alg. 38 1-3 (2005) 209-236
    • (2005) Num. Alg. , vol.38 , Issue.1-3 , pp. 209-236
    • Mathelin, L.1    Hussaini, M.Y.2    Zang, Th.A.3
  • 18
    • 0242273104 scopus 로고    scopus 로고
    • Effects of parametric uncertainty on airfoil limit cycle oscillation
    • Pettit C.L., and Beran P.S. Effects of parametric uncertainty on airfoil limit cycle oscillation. J. Aircraft 40 5 (2003) 1004-1006
    • (2003) J. Aircraft , vol.40 , Issue.5 , pp. 1004-1006
    • Pettit, C.L.1    Beran, P.S.2
  • 19
    • 33646672689 scopus 로고    scopus 로고
    • Spectral and multiresolution Wiener expansions of oscillatory stochastic processes
    • Pettit C.L., and Beran P.S. Spectral and multiresolution Wiener expansions of oscillatory stochastic processes. J. Sound Vib. 294 (2006) 752-779
    • (2006) J. Sound Vib. , vol.294 , pp. 752-779
    • Pettit, C.L.1    Beran, P.S.2
  • 20
    • 0037299084 scopus 로고    scopus 로고
    • Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection
    • Reagan M.T., Najm H.N., Ghanem R.G., and Knio O.M. Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection. Combust. Flame 132 (2003) 545-555
    • (2003) Combust. Flame , vol.132 , pp. 545-555
    • Reagan, M.T.1    Najm, H.N.2    Ghanem, R.G.3    Knio, O.M.4
  • 21
    • 55649102872 scopus 로고    scopus 로고
    • M.A. Tatang, Direct incorporation of uncertainty in chemical and environmental engineering systems, Ph.D. thesis, MIT, Cambridge, 1995.
    • M.A. Tatang, Direct incorporation of uncertainty in chemical and environmental engineering systems, Ph.D. thesis, MIT, Cambridge, 1995.
  • 22
    • 21444449245 scopus 로고    scopus 로고
    • An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
    • Wan X.L., and Karniadakis G.E. An adaptive multi-element generalized polynomial chaos method for stochastic differential equations. J. Comput. Phys. 209 2 (2005) 617-642
    • (2005) J. Comput. Phys. , vol.209 , Issue.2 , pp. 617-642
    • Wan, X.L.1    Karniadakis, G.E.2
  • 23
    • 33745346803 scopus 로고    scopus 로고
    • Long-term behavior of polynomial chaos in stochastic flow simulations
    • Wan X.L., and Karniadakis G.E. Long-term behavior of polynomial chaos in stochastic flow simulations. Comput. Method Appl. M. 195 (2006) 5582-5596
    • (2006) Comput. Method Appl. M. , vol.195 , pp. 5582-5596
    • Wan, X.L.1    Karniadakis, G.E.2
  • 24
    • 34248178599 scopus 로고    scopus 로고
    • Modeling physical uncertainties in dynamic stall induced fluid-structure interaction of turbine blades using arbitrary polynomial chaos
    • Witteveen J.A.S., Sarkar S., and Bijl H. Modeling physical uncertainties in dynamic stall induced fluid-structure interaction of turbine blades using arbitrary polynomial chaos. Comput. Struct. 85 (2007) 866-878
    • (2007) Comput. Struct. , vol.85 , pp. 866-878
    • Witteveen, J.A.S.1    Sarkar, S.2    Bijl, H.3
  • 25
    • 55549147182 scopus 로고    scopus 로고
    • A monomial chaos approach for efficient uncertainty quantification in nonlinear problems
    • Witteveen J.A.S., and Bijl H. A monomial chaos approach for efficient uncertainty quantification in nonlinear problems. SIAM J. Sci. Comput. 30 (2008) 1296-1317
    • (2008) SIAM J. Sci. Comput. , vol.30 , pp. 1296-1317
    • Witteveen, J.A.S.1    Bijl, H.2
  • 26
    • 41149139344 scopus 로고    scopus 로고
    • Efficient quantification of the effect of uncertainties in advection-diffusion problems using polynomial chaos
    • Witteveen J.A.S., and Bijl H. Efficient quantification of the effect of uncertainties in advection-diffusion problems using polynomial chaos. Numer. Heat Tr. B-Fund. 53 (2008) 437-465
    • (2008) Numer. Heat Tr. B-Fund. , vol.53 , pp. 437-465
    • Witteveen, J.A.S.1    Bijl, H.2
  • 27
    • 38349104240 scopus 로고    scopus 로고
    • Probabilistic collocation for period-1 limit cycle oscillations
    • Witteveen J.A.S., Loeven G.J.A., Sarkar S., and Bijl H. Probabilistic collocation for period-1 limit cycle oscillations. J. Sound Vib. 311 1-2 (2008) 421-439
    • (2008) J. Sound Vib. , vol.311 , Issue.1-2 , pp. 421-439
    • Witteveen, J.A.S.1    Loeven, G.J.A.2    Sarkar, S.3    Bijl, H.4
  • 28
    • 54849432733 scopus 로고    scopus 로고
    • J.A.S. Witteveen, H. Bijl, An unsteady adaptive stochastic finite elements formulation for rigid-body fluid-structure interaction, Comput. Struct. 2008, doi:10.1016/j.compstruc.2008.06.009.
    • J.A.S. Witteveen, H. Bijl, An unsteady adaptive stochastic finite elements formulation for rigid-body fluid-structure interaction, Comput. Struct. 2008, doi:10.1016/j.compstruc.2008.06.009.
  • 29
    • 55649123099 scopus 로고    scopus 로고
    • J.A.S. Witteveen, G.J.A. Loeven, H. Bijl, An adaptive stochastic finite elements approach based on Newton-Cotes quadrature in simplex elements, submitted for publication.
    • J.A.S. Witteveen, G.J.A. Loeven, H. Bijl, An adaptive stochastic finite elements approach based on Newton-Cotes quadrature in simplex elements, submitted for publication.
  • 30
    • 0037249229 scopus 로고    scopus 로고
    • The Wiener-Askey polynomial chaos for stochastic differential equations
    • Xiu D.B., and Karniadakis G.E. The Wiener-Askey polynomial chaos for stochastic differential equations. SIAM J. Sci. Comput. 24 2 (2002) 619-644
    • (2002) SIAM J. Sci. Comput. , vol.24 , Issue.2 , pp. 619-644
    • Xiu, D.B.1    Karniadakis, G.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.