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Volumn 26, Issue 5, 2012, Pages 459-479

Transonic velocity fluctuations simulated using extremum diminishing uncertainty quantification based on inverse distance weighting

Author keywords

Extremum diminishing; Inverse distance weighting; Transonic flow; Uncertainty quantification

Indexed keywords

A-COEFFICIENT; ANALYTICAL TESTS; COMPUTATIONAL PREDICTIONS; EXTREMUM DIMINISHING; INVERSE DISTANCE WEIGHTING; LIMIT VALUES; POWER PARAMETERS; PROBABILITY SPACES; RESPONSE SURFACE APPROXIMATION; TEST CASE; TRANSONIC VELOCITIES; UNCERTAINTY QUANTIFICATIONS; VELOCITY FLUCTUATIONS; WAVE DRAGS;

EID: 84869088048     PISSN: 09354964     EISSN: 14322250     Source Type: Journal    
DOI: 10.1007/s00162-011-0233-y     Document Type: Article
Times cited : (6)

References (41)
  • 2
    • 34548216854 scopus 로고    scopus 로고
    • A stochastic collocation method for elliptic partial differential equations with random input data
    • Babuška, I., Nobile, F., Tempone, R.: A stochastic collocation method for elliptic partial differential equations with random input data. SIAM J. Numer. Anal. 45, 1005-"1034 (2007)
    • (2007) SIAM J. Numer. Anal. , vol.45 , pp. 1005-1034
    • Babuška, I.1    Nobile, F.2    Tempone, R.3
  • 3
    • 0030430467 scopus 로고    scopus 로고
    • Multivariate interpolation to incorporate thematic surface data using inverse distance weighting (idw)
    • Bartier, P.M., Keller, C.P.: Multivariate interpolation to incorporate thematic surface data using inverse distance weighting (IDW). Comput. Geosci. 22, 795-"799 (1996)
    • (1996) Comput. Geosci. , vol.22 , pp. 795-799
    • Bartier, P.M.1    Keller, C.P.2
  • 4
    • 1542751716 scopus 로고    scopus 로고
    • Interpolating the isotopic composition of modern meteoric precipitation
    • Bowen, G.J., Revenaugh, J.: Interpolating the isotopic composition of modern meteoric precipitation. Water Resour. Res. 39, 1299 (2003)
    • (2003) Water Resour. Res. , vol.39 , pp. 1299
    • Bowen, G.J.1    Revenaugh, J.2
  • 6
    • 0000791134 scopus 로고
    • An operational objective analysis system
    • Cressman, G.P.: An operational objective analysis system. Mon. Weather Rev. 87, 367-"374 (1959)
    • (1959) Mon. Weather Rev. , vol.87 , pp. 367-374
    • Cressman, G.P.1
  • 7
    • 0035964634 scopus 로고    scopus 로고
    • Solution of stochastic partial differential equations using Galerkin finite element techniques
    • DOI 10.1016/S0045-7825(01)00237-7, PII S0045782501002377
    • Deb, M., Babuška, I., Oden, J.: Solution of stochastic partial differential equations using Galerkin finite element techniques. Comput. Methods Appl. Mech. Eng. 190, 6359-"6372 (2001) (Pubitemid 32984202)
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , Issue.48 , pp. 6359-6372
    • Deb, M.K.1    Babuska, I.M.2    Oden J.Tinsley3
  • 9
    • 0033528038 scopus 로고    scopus 로고
    • Ingredients for a general purpose stochastic finite elements implementation
    • Ghanem, R.: Ingredients for a general purpose stochastic finite elements implementation. Comput. Method. Appl. M. 168, 19-"34 (1999)
    • (1999) Comput. Method. Appl. M. , Issue.168 , pp. 19-34
    • Ghanem, R.1
  • 10
    • 84869092726 scopus 로고
    • Monte carlo methods. Methuen' s monographs on applied probability and statistics
    • Norwich
    • Hammersley, J.M., Handscomb, D.C.: Monte Carlo Methods. Methuen's monographs on applied probability and statistics. Fletcher & Son Ltd., Norwich (1964)
    • (1964) Fletcher & Son Ltd.
    • Hammersley, J.M.1    Handscomb, D.C.2
  • 13
    • 0029167632 scopus 로고
    • Positive schemes and shock modelling for compressible flows
    • Jameson, A.: Positive schemes and shock modelling for compressible flows. Int. J. Num. Meth. Fluids 20, 743-"776 (1995)
    • (1995) Int. J. Num. Meth. Fluids , vol.20 , pp. 743-776
    • Jameson, A.1
  • 14
    • 0033076316 scopus 로고    scopus 로고
    • Second-order time-accurate and geometrically conservative implicit schemes for flow computations on unstructured dynamic meshes
    • Koobus, B., Farhat, C.: Second-order time-accurate and geometrically conservative implicit schemes for flow computations on unstructured dynamic meshes. Comput. Methods Appl. Mech. Engrg. 170, 103-"129 (1999)
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.170 , pp. 103-129
    • Koobus, B.1    Farhat, C.2
  • 16
    • 58149516321 scopus 로고    scopus 로고
    • Probabilistic collocation used in a two-step approach for efficient uncertainty quantification in computational fluid dynamics
    • Loeven, G.J.A., Bijl, H.: Probabilistic collocation used in a two-"step approach for efficient uncertainty quantification in computational fluid dynamics. CMES 36, 193-"212 (2008)
    • (2008) CMES , vol.36 , pp. 193-212
    • Loeven, G.J.A.1    Bijl, H.2
  • 17
    • 0035506770 scopus 로고    scopus 로고
    • Astochastic projectionmethod for fluid flow: I.basic formulation
    • Le Maître,O.P., Knio,O.M., Najm,H.N., Ghanem,R.G.:Astochastic projectionmethod for fluid flow: I.Basic formulation. J. Comput. Phys. 173, 481-"511 (2001)
    • (2001) J. Comput. Phys. , vol.173 , pp. 481-511
    • Le MaîtreO, P.1    KnioO, M.2    Najm, H.N.3    Ghanem, R.G.4
  • 19
    • 3242712896 scopus 로고    scopus 로고
    • Multi-resolution analysis of Wiener-type uncertainty propagation schemes
    • DOI 10.1016/j.jcp.2003.12.020, PII S0021999103006491
    • Le Maître, O.P., Najm, H.N., Ghanem, R.G., Knio, O.M.: Multi-"resolution analysis ofWiener-"type uncertainty propagation schemes. J. Comput. Phys. 197, 502-"531 (2004) (Pubitemid 38955945)
    • (2004) Journal of Computational Physics , vol.197 , Issue.2 , pp. 502-531
    • Le Maitre, O.P.1    Najm, H.N.2    Ghanem, R.G.3    Knio, O.M.4
  • 20
    • 4344610300 scopus 로고    scopus 로고
    • Uncertainty propagation for a turbulent, compressible nozzle flow using stochastic methods
    • Mathelin, L., Hussaini, M.Y., Zang, T.A., Bataille, F.: Uncertainty propagation for a turbulent, compressible nozzle flow using stochastic methods. AIAA J. 42, 1669-"1676 (2004)
    • (2004) AIAA J. , vol.42 , pp. 1669-1676
    • Mathelin, L.1    Hussaini, M.Y.2    Zang, T.A.3    Bataille, F.4
  • 21
    • 23944518704 scopus 로고    scopus 로고
    • Stochastic approaches to uncertainty quantification in CFD simulations
    • DOI 10.1007/s11075-004-2866-z
    • Mathelin, L., Hussaini, M.Y., Zang, Th.A.: Stochastic approaches to uncertainty quantification in CFD simulations. Num. Alg. 38, 209-"236 (2005) (Pubitemid 41195956)
    • (2005) Numerical Algorithms , vol.38 , Issue.1-3 , pp. 209-236
    • Mathelin, L.1    Hussaini, M.Y.2    Zang, T.A.3
  • 22
    • 84973226358 scopus 로고    scopus 로고
    • Dual-based a posteriori error estimate for stochastic finite elementmethods
    • Mathelin, L., Le Maître, O.: Dual-"based a posteriori error estimate for stochastic finite elementmethods. Comm. App. Math. Comput. Sci. 2, 83-"115 (2007)
    • (2007) Comm. App. Math. Comput. Sci. , vol.2 , pp. 83-115
    • Mathelin, L.1    Le Maître, O.2
  • 24
    • 63449137570 scopus 로고    scopus 로고
    • Uncertainty quantification and polynomial chaos techniques in computational fluid dynamics
    • Najm, H.N.: Uncertainty quantification and polynomial chaos techniques in computational fluid dynamics. Annu. Rev. Fluid Mech. 41, 35-"52 (2009)
    • (2009) Annu. Rev. Fluid Mech. , vol.41 , pp. 35-52
    • Najm, H.N.1
  • 25
    • 34250076441 scopus 로고
    • A local solution method for shock boundary-layer interaction on a swept wing
    • Nellner, P.-Ch., Zierep, J.: A local solution method for shock boundary-"layer interaction on a swept wing. Acta Mech. 101, 45-"57 (1993)
    • (1993) Acta Mech. , vol.101 , pp. 45-57
    • Nellner, P.-Ch.1    Zierep, J.2
  • 27
    • 0037299084 scopus 로고    scopus 로고
    • Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection
    • DOI 10.1016/S0010-2180(02)00503-5
    • Reagan, M.T., Najm, H.N., Ghanem, R.G., Knio, O.M.: Uncertainty quantification in reacting-"flow simulations through non-"intrusive spectral projection. Combust. Flame 132, 545-"555 (2003) (Pubitemid 36344128)
    • (2003) Combustion and Flame , vol.132 , Issue.3 , pp. 545-555
    • Reagan, M.T.1    Najm, H.N.2    Ghanem, R.G.3    Knio, O.M.4
  • 28
    • 85059754274 scopus 로고
    • A two-dimensional interpolation function for irregularly-" spaced data
    • Shepard, D.: A two-"dimensional interpolation function for irregularly-"spaced data. In: Proceedings of the 1968 ACM National Conference, 517-"524 (1968)
    • (1968) Proceedings of the 1968 ACM National Conference , pp. 17-524
    • Shepard, D.1
  • 30
    • 21444449245 scopus 로고    scopus 로고
    • An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
    • DOI 10.1016/j.jcp.2005.03.023, PII S0021999105001919
    • Wan, X., Karniadakis, G.E.: An adaptive multi-"element generalized polynomial chaos method for stochastic differential equations. J. Comput. Phys. 209, 617-"642 (2005) (Pubitemid 40919643)
    • (2005) Journal of Computational Physics , vol.209 , Issue.2 , pp. 617-642
    • Wan, X.1    Karniadakis, G.E.2
  • 31
    • 0000786435 scopus 로고
    • The homogeneous chaos
    • Wiener, N.: The homogeneous chaos. Am. J. Math. 60, 897-"936 (1938)
    • (1938) Am. J. Math. , vol.60 , pp. 897-936
    • Wiener, N.1
  • 32
    • 55549147182 scopus 로고    scopus 로고
    • A monomial chaos approach for efficient uncertainty quantification in nonlinear problems
    • Witteveen, J.A.S., Bijl, H.: A monomial chaos approach for efficient uncertainty quantification in nonlinear problems. SIAM J. Sci. Comput. 30, 1296-"1317 (2008)
    • (2008) SIAM J. Sci. Comput. , vol.30 , pp. 1296-1317
    • Witteveen, J.A.S.1    Bijl, H.2
  • 33
    • 67849124148 scopus 로고    scopus 로고
    • Effect of randomness on multi-frequency aeroelastic responses resolved by unsteady adaptive stochastic finite elements
    • Witteveen, J.A.S., Bijl, H.: Effect of randomness on multi-frequency aeroelastic responses resolved by unsteady adaptive stochastic finite elements. J. Comput. Phys. 228, 7025-"7045 (2009)
    • (2009) J. Comput. Phys. , vol.228 , pp. 7025-7045
    • Witteveen, J.A.S.1    Bijl, H.2
  • 34
    • 62549108614 scopus 로고    scopus 로고
    • An adaptive stochastic finite elements approach based on newton- "cotes quadrature in simplex elements
    • Witteveen, J.A.S., Loeven, G.J.A., Bijl, H.: An adaptive stochastic finite elements approach based on Newton-"Cotes quadrature in simplex elements. Comput. Fluids 38, 1270-"1288 (2009)
    • (2009) Comput. Fluids , vol.38 , pp. 1270-1288
    • Witteveen, J.A.S.1    Loeven, G.J.A.2    Bijl, H.3
  • 35
    • 67650938584 scopus 로고    scopus 로고
    • A tvd uncertainty quantification method with bounded error applied to transonic airfoil flutter
    • Witteveen, J.A.S., Bijl, H.: A TVD uncertainty quantification method with bounded error applied to transonic airfoil flutter. Commun. Comput. Phys. 6, 406-"432 (2009)
    • (2009) Commun. Comput. Phys. , vol.6 , pp. 406-432
    • Witteveen, J.A.S.1    Bijl, H.2
  • 36
    • 0037249229 scopus 로고    scopus 로고
    • The wiener-"askey polynomial chaos for stochastic differential equations
    • Xiu, D., Karniadakis, G.E.: The Wiener-"Askey polynomial chaos for stochastic differential equations. SIAM J. Sci. Comput. 24, 619-"644 (2002)
    • (2002) SIAM J. Sci. Comput. , vol.24 , pp. 619-644
    • Xiu, D.1    Karniadakis, G.E.2
  • 38
    • 0037408312 scopus 로고    scopus 로고
    • Modeling uncertainty in flow simulations via generalized polynomial chaos
    • DOI 10.1016/S0021-9991(03)00092-5
    • Xiu, D., Karniadakis, G.E.: Modeling uncertainty in flow simulations via generalized polynomial chaos. J. Comput. Phys. 187, 137-"167 (2003) (Pubitemid 36515575)
    • (2003) Journal of Computational Physics , vol.187 , Issue.1 , pp. 137-167
    • Xiu, D.1    Karniadakis, G.E.2
  • 39
    • 60149090193 scopus 로고    scopus 로고
    • Fast numerical methods for stochastic computations: A review
    • Xiu, D.: Fast numerical methods for stochastic computations: A review. Commun. Comput. Phys. 5, 242-"272 (2009)
    • (2009) Commun. Comput. Phys. , vol.5 , pp. 242-272
    • Xiu, D.1
  • 41
    • 34248158181 scopus 로고    scopus 로고
    • Higher-order time integration through smooth mesh deformation for 3d fluidstructure interaction simulations
    • Van Zuijlen, A.H., De Boer, A., Bijl, H.: Higher-order time integration through smooth mesh deformation for 3D fluidstructure interaction simulations. J. Comput. Phys. 224, 414-"430 (2007)
    • (2007) J. Comput. Phys. , vol.224 , pp. 414-430
    • Van Zuijlen, A.H.1    De Boer, A.2    Bijl, H.3


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