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Volumn 16, Issue 3, 2012, Pages 757-778

Global sensitivity analysis in an ocean general circulation model: A sparse spectral projection approach

Author keywords

Ocean circulation model; Parametric uncertainty; Polynomial chaos; Sensitivity analysis; Sparse quadrature

Indexed keywords

CHAOTIC DYNAMICS; OCEANIC GENERAL CIRCULATION MODEL; PARAMETERIZATION; SENSITIVITY ANALYSIS; UNCERTAINTY ANALYSIS;

EID: 84860557367     PISSN: 14200597     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10596-012-9286-2     Document Type: Article
Times cited : (63)

References (50)
  • 1
    • 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(3), 1005-1034 (2007).
    • (2007) SIAM J. Numer. Anal. , vol.45 , Issue.3 , pp. 1005-1034
    • Babuška, I.1    Nobile, F.2    Tempone, R.3
  • 2
    • 84901051203 scopus 로고    scopus 로고
    • Stochastic finite element: a non intrusive approach by regression
    • Berveiller, M., Sudret, B., Lemaire, M.: Stochastic finite element: a non intrusive approach by regression. Eur. J. Comput. Mech. 15, 81-92 (2006).
    • (2006) Eur. J. Comput. Mech. , vol.15 , pp. 81-92
    • Berveiller, M.1    Sudret, B.2    Lemaire, M.3
  • 3
    • 1842588302 scopus 로고    scopus 로고
    • An oceanic general circulation model framed in hybrid isopycnic-Cartesian coordinates
    • Bleck, R.: An oceanic general circulation model framed in hybrid isopycnic-Cartesian coordinates. Ocean Model. 4, 55-88 (2002).
    • (2002) Ocean Model. , vol.4 , pp. 55-88
    • Bleck, R.1
  • 4
    • 1542338918 scopus 로고    scopus 로고
    • North Atlantic simulation with the Hybrid Coordinate Ocean Model (HYCOM): impact of the vertical coordinate choice, reference density, and themobaricity
    • Chassignet, E., Smith, L., Halliwell, G., Bleck, R.: North Atlantic simulation with the Hybrid Coordinate Ocean Model (HYCOM): impact of the vertical coordinate choice, reference density, and themobaricity. J. Phys. Oceanogr. 33, 2504-2526 (2003).
    • (2003) J. Phys. Oceanogr. , vol.33 , pp. 2504-2526
    • Chassignet, E.1    Smith, L.2    Halliwell, G.3    Bleck, R.4
  • 6
    • 63749121433 scopus 로고    scopus 로고
    • Polynomial chaos expansion for sensitivity analysis
    • Special Issue on Sensitivity Analysis)
    • Crestaux, T., Maitre, O. L., Martinez, J. M.: Polynomial chaos expansion for sensitivity analysis. Reliab. Eng. Syst. Saf. 94(7), 1161-1172 (2009, Special Issue on Sensitivity Analysis).
    • (2009) Reliab. Eng. Syst. Saf. , vol.94 , Issue.7 , pp. 1161-1172
    • Crestaux, T.1    Maitre, O.L.2    Martinez, J.M.3
  • 7
    • 16244382554 scopus 로고    scopus 로고
    • Numerical challenges in the use of polynomial chaos representations for stochastic processes
    • Debusschere, B., Najm, H., Pébay, P., Knio, O., Ghanem, R., Le Maître, O.: Numerical challenges in the use of polynomial chaos representations for stochastic processes. J. Sci. Comput. 26(2), 698-719 (2004).
    • (2004) J. Sci. Comput. , vol.26 , Issue.2 , pp. 698-719
    • Debusschere, B.1    Najm, H.2    Pébay, P.3    Knio, O.4    Ghanem, R.5    Le Maître, O.6
  • 9
    • 34247618828 scopus 로고    scopus 로고
    • Turbulent fluxes in the hurricane boundary layer
    • doi:10.1175/JAS3887.1
    • French, J. R., Drennan, W. M., Zhang, J. A., Black, P. G.: Turbulent fluxes in the hurricane boundary layer. Part I: momentum flux. J. Atmos. Sci. 64, 1089-1102 (2007). doi: 10. 1175/JAS3887. 1.
    • (2007) J. Atmos. Sci. , vol.64 , pp. 1089-1102
    • French, J.R.1    Drennan, W.M.2    Zhang, J.A.3    Black, P.G.4
  • 10
    • 0242440688 scopus 로고    scopus 로고
    • Numerical integration using sparse grids
    • Gerstner, T., Griebel, M.: Numerical integration using sparse grids. Numer. Algorithms 18, 209-232 (1998).
    • (1998) Numer. Algorithms , vol.18 , pp. 209-232
    • Gerstner, T.1    Griebel, M.2
  • 11
    • 0026238497 scopus 로고
    • A spectral stochastic finite element formulation for reliability analysis
    • Ghanem, R., Spanos, P.: A spectral stochastic finite element formulation for reliability analysis. J. Eng. Mech. ASCE 117, 2351-2372 (1991).
    • (1991) J. Eng. Mech. ASCE , vol.117 , pp. 2351-2372
    • Ghanem, R.1    Spanos, P.2
  • 14
    • 2342522154 scopus 로고    scopus 로고
    • Evaluation of the vertical coordinate and vertical mixing algorithms in the Hybrid-Coordinate Ocean Model (HYCOM)
    • doi:10.1016/j.ocemod.2003.10.002
    • Halliwell, G.: Evaluation of the vertical coordinate and vertical mixing algorithms in the Hybrid-Coordinate Ocean Model (HYCOM). Ocean Model. 7, 285-322 (2004). doi: 10. 1016/j. ocemod. 2003. 10. 002.
    • (2004) Ocean Model. , vol.7 , pp. 285-322
    • Halliwell, G.1
  • 15
    • 79955040541 scopus 로고    scopus 로고
    • Evaluation and sensitivity analysis of an ocean model response to Hurricane Ivan
    • doi:10.1175/2010MWR3104.1
    • Halliwell, G., Shay, L., Brewster, J., Teague, W.: Evaluation and sensitivity analysis of an ocean model response to Hurricane Ivan. Mon. Weather Rev. 139, 921-945 (2011). doi: 10. 1175/2010MWR3104. 1.
    • (2011) Mon. Weather Rev. , vol.139 , pp. 921-945
    • Halliwell, G.1    Shay, L.2    Brewster, J.3    Teague, W.4
  • 16
    • 0001115236 scopus 로고    scopus 로고
    • The naval research laboratory's Coupled Ocean/Atmosphere Mesoscale Prediction System (COAMPS)
    • doi:10.1175/1520-0493(1997)125&1414:TNRLSC 2.0.CO;2
    • Hodur, R.: The naval research laboratory's Coupled Ocean/Atmosphere Mesoscale Prediction System (COAMPS). Mon. Weather Rev. 125(7), 1414-1430 (1997). doi: 10. 1175/1520-0493(1997)125& 1414: TNRLSC 2. 0. CO; 2.
    • (1997) Mon. Weather Rev. , vol.125 , Issue.7 , pp. 1414-1430
    • Hodur, R.1
  • 17
    • 0030121081 scopus 로고    scopus 로고
    • Importance measures in global sensitivity analysis of nonlinear models
    • Homma, T., Saltelli, A.: Importance measures in global sensitivity analysis of nonlinear models. Reliab. Eng. Syst. Saf. 52(1), 1-17 (1996).
    • (1996) Reliab. Eng. Syst. Saf. , vol.52 , Issue.1 , pp. 1-17
    • Homma, T.1    Saltelli, A.2
  • 19
    • 0033670126 scopus 로고    scopus 로고
    • Efficient and accurate bulk parameterizations of air-sea fluxes for use in general circulation models
    • doi:10.1175/1520-0426
    • Kara, A. B., Rochford, P. A., Hurlburt, H. E.: Efficient and accurate bulk parameterizations of air-sea fluxes for use in general circulation models. J. Atmos. Ocean. Technol. 17(10), 1421-1438 (2000). doi: 10. 1175/1520-0426.
    • (2000) J. Atmos. Ocean. Technol. , vol.17 , Issue.10 , pp. 1421-1438
    • Kara, A.B.1    Rochford, P.A.2    Hurlburt, H.E.3
  • 20
    • 0028591570 scopus 로고
    • Oceanic vertical mixing: a review and a model with a nonlocal boundary layer parameterization
    • Large, W. G., McWilliams, J. C., Doney, S. C.: Oceanic vertical mixing: a review and a model with a nonlocal boundary layer parameterization. Rev. Geophys. 32, 363-403 (1994).
    • (1994) Rev. Geophys. , vol.32 , pp. 363-403
    • Large, W.G.1    McWilliams, J.C.2    Doney, S.C.3
  • 21
    • 0019373697 scopus 로고
    • Open ocean momentum flux measurements in moderate to strong winds
    • doi:10.1175/1520-0485
    • Large, W. G., Pond, S.: Open ocean momentum flux measurements in moderate to strong winds. J. Phys. Oceanogr. 11, 324-336 (1981). doi: 10. 1175/1520-0485.
    • (1981) J. Phys. Oceanogr. , vol.11 , pp. 324-336
    • Large, W.G.1    Pond, S.2
  • 23
    • 0035506770 scopus 로고    scopus 로고
    • A stochastic projection method for fluid flow. I. Basic formulation
    • Le Maître, O., Knio, O., Najm, H., Ghanem, R.: A stochastic projection method for fluid flow. I. Basic formulation. J. Comput. Phys. 173, 481-511 (2001).
    • (2001) J. Comput. Phys. , vol.173 , pp. 481-511
    • Le Maître, O.1    Knio, O.2    Najm, H.3    Ghanem, R.4
  • 24
    • 39149094987 scopus 로고    scopus 로고
    • Multi-resolution-analysis scheme for uncertainty quantification in chemical systems
    • Le Maître, O., Najm, H., Pébay, P., Ghanem, R., Knio, O.: Multi-resolution-analysis scheme for uncertainty quantification in chemical systems. SIAM J. Sci. Comput. 29(2), 864-889 (2007).
    • (2007) SIAM J. Sci. Comput. , vol.29 , Issue.2 , pp. 864-889
    • Le Maître, O.1    Najm, H.2    Pébay, P.3    Ghanem, R.4    Knio, O.5
  • 25
    • 0036742814 scopus 로고    scopus 로고
    • A stochastic projection method for fluid flow. II. Random process
    • Le Maître, O., Reagan, M., Najm, H., Ghanem, R., Knio, O.: A stochastic projection method for fluid flow. II. Random process. J. Comput. Phys. 181, 9-44 (2002).
    • (2002) J. Comput. Phys. , vol.181 , pp. 9-44
    • Le Maître, O.1    Reagan, M.2    Najm, H.3    Ghanem, R.4    Knio, O.5
  • 26
    • 0035298047 scopus 로고    scopus 로고
    • A comparison of two vertical-mixing schemes in a Pacific Ocean general circulation model
    • doi:10.1175/1520-0442(2001)014&1377:ACOTVM 2.0.CO;2
    • Li, X. J., Chao, Y., McWilliams, J. C., Fu, L. L.: A comparison of two vertical-mixing schemes in a Pacific Ocean general circulation model. J. Climate 14(7), 1377-1398 (2001). doi: 10. 1175/1520-0442(2001)014& 1377: ACOTVM 2. 0. CO; 2.
    • (2001) J. Climate , vol.14 , Issue.7 , pp. 1377-1398
    • Li, X.J.1    Chao, Y.2    McWilliams, J.C.3    Fu, L.L.4
  • 27
    • 0030762883 scopus 로고    scopus 로고
    • A finite-volume, incompressible Navier Stokes model for studies of the ocean on parallel computers
    • Marshall, J., Adcroft, A., Hill, C., Perelman, L., Heisey, C.: A finite-volume, incompressible Navier Stokes model for studies of the ocean on parallel computers. J. Geophys. Res. 102, 5753-5766 (1997).
    • (1997) J. Geophys. Res. , vol.102 , pp. 5753-5766
    • Marshall, J.1    Adcroft, A.2    Hill, C.3    Perelman, L.4    Heisey, C.5
  • 29
    • 0032420562 scopus 로고    scopus 로고
    • Abyssal recipes II: energetics of tidal and wind mixing
    • doi:10.1016/S0967-0637(98)00070-3
    • Munk, W., Wunsch, C.: Abyssal recipes II: energetics of tidal and wind mixing. Deep-Sea Res., Part 1, Oceanogr. Res. Pap. 45(12), 1977-2010 (1998). doi: 10. 1016/S0967-0637(98)00070-3. http://www. sciencedirect. com/science/article/pii/S0967063798000703.
    • (1998) Deep-Sea Res., Part 1, Oceanogr. Res. Pap. , vol.45 , Issue.12 , pp. 1977-2010
    • Munk, W.1    Wunsch, C.2
  • 30
    • 63449137570 scopus 로고    scopus 로고
    • Uncertainty quantification and polynomial chaos techniques in computational fluid dynamics
    • Najm, H.: 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.1
  • 32
    • 0034405305 scopus 로고    scopus 로고
    • On the Smolyak cubature error for analytic functions
    • Petras, K.: On the Smolyak cubature error for analytic functions. Adv. Comput. Math. 12, 71-93 (2000).
    • (2000) Adv. Comput. Math. , vol.12 , pp. 71-93
    • Petras, K.1
  • 33
    • 0035606625 scopus 로고    scopus 로고
    • Fast calculation in the Smolyak algorithm
    • Petras, K.: Fast calculation in the Smolyak algorithm. Numer. Algorithms 26, 93-109 (2001).
    • (2001) Numer. Algorithms , vol.26 , pp. 93-109
    • Petras, K.1
  • 34
    • 0242389714 scopus 로고    scopus 로고
    • Smolyak cubature of given polynomial degree with few nodes for increasing dimension
    • doi:10.1007/s002110200401
    • Petras, K.: Smolyak cubature of given polynomial degree with few nodes for increasing dimension. Numer. Math. 93(4), 729-753 (2003). doi: 10. 1007/s002110200401.
    • (2003) Numer. Math. , vol.93 , Issue.4 , pp. 729-753
    • Petras, K.1
  • 35
    • 0030735572 scopus 로고    scopus 로고
    • Incorporation of parametric uncertainty into complex kinetic mechanisms: application to hydrogen oxidation in supercritical water
    • Phenix, B., Dinaro, J., Tatang, M., Tester, J., Howard, J., McRae, G.: Incorporation of parametric uncertainty into complex kinetic mechanisms: application to hydrogen oxidation in supercritical water. Combust. Flame 112, 132-146 (1998).
    • (1998) Combust. Flame , vol.112 , pp. 132-146
    • Phenix, B.1    Dinaro, J.2    Tatang, M.3    Tester, J.4    Howard, J.5    McRae, G.6
  • 36
    • 0037456805 scopus 로고    scopus 로고
    • Reduced drag coefficient for high wind speeds in tropical cyclones
    • doi:10.1038/nature01481
    • Powell, M. D., Vickery, P. J., Reinhold, T. A.: Reduced drag coefficient for high wind speeds in tropical cyclones. Nature 422, 279-283 (2003). doi: 10. 1038/nature01481. Wind measurement and wind stress calculation in (observed) hurricane conditions.
    • (2003) Nature , vol.422 , pp. 279-283
    • Powell, M.D.1    Vickery, P.J.2    Reinhold, T.A.3
  • 37
    • 34250783976 scopus 로고    scopus 로고
    • Upper-ocean response to hurricane Ivan in a 1/25° nested Gulf of Mexico HYCOM
    • Prasad, T. G., Hogan, P. J.: Upper-ocean response to hurricane Ivan in a 1/25° nested Gulf of Mexico HYCOM. J. Geophys. Res. 112, C04013 (2007).
    • (2007) J. Geophys. Res. , vol.112 , pp. 04013
    • Prasad, T.G.1    Hogan, P.J.2
  • 38
    • 0037299084 scopus 로고    scopus 로고
    • Uncertainty quantification in reacting flow simulations through non-intrusive spectral projection
    • Reagan, M., Najm, H., Ghanem, R., Knio, O.: Uncertainty quantification in reacting flow simulations through non-intrusive spectral projection. Combust. Flame 132, 545-555 (2003).
    • (2003) Combust. Flame , vol.132 , pp. 545-555
    • Reagan, M.1    Najm, H.2    Ghanem, R.3    Knio, O.4
  • 40
    • 14544301443 scopus 로고    scopus 로고
    • The regional oceanic modeling system (ROMS): a split-explicit, free-surface, topography-following-coordinate oceanic model
    • doi:10.1016/j.ocemod.2004.07.001
    • Shchepetkin, A. F., McWilliams, J. C.: The regional oceanic modeling system (ROMS): a split-explicit, free-surface, topography-following-coordinate oceanic model. Ocean Model. 9(4), 3090 (2005). doi: 10. 1016/j. ocemod. 2004. 07. 001.
    • (2005) Ocean Model. , vol.9 , Issue.4 , pp. 3090
    • Shchepetkin, A.F.1    McWilliams, J.C.2
  • 41
    • 0001048297 scopus 로고
    • Quadrature and interpolation formulas for tensor products of certain classes of functions
    • Smolyak, S.: Quadrature and interpolation formulas for tensor products of certain classes of functions. Dokl. Akad. Nauk SSSR 4, 240-243 (1963).
    • (1963) Dokl. Akad. Nauk SSSR , vol.4 , pp. 240-243
    • Smolyak, S.1
  • 42
    • 0000760143 scopus 로고
    • Sensitivity estimates for nonlinear mathematical models
    • Sobol′, I. M.: Sensitivity estimates for nonlinear mathematical models. Math. Model. Comput. Exper. 1(4), 407-414 (1993).
    • (1993) Math. Model. Comput. Exper. , vol.1 , Issue.4 , pp. 407-414
    • Sobol, I.M.1
  • 43
    • 0034926426 scopus 로고    scopus 로고
    • Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates
    • Sobol′, I. M.: Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates. Math. Comput. Simul. 55(1-3), 271-280 (2001).
    • (2001) Math. Comput. Simul. , vol.55 , Issue.1-3 , pp. 271-280
    • Sobol, I.M.1
  • 44
    • 39849107510 scopus 로고    scopus 로고
    • Global sensitivity analysis using polynomial chaos expansions
    • doi:10.1016/j.ress.2007.04.002 Bayesian networks in dependability
    • Sudret, B.: Global sensitivity analysis using polynomial chaos expansions. Reliab. Eng. Syst. Saf. 93(7), 964-979 (2008). doi: 10. 1016/j. ress. 2007. 04. 002. http://www. sciencedirect. com/science/article/B6V4T-4NKJ0BN-1/2/d3554add11e0ff4b9fd1b69c06cdbc16. Bayesian networks in dependability.
    • (2008) Reliab. Eng. Syst. Saf. , vol.93 , Issue.7 , pp. 964-979
    • Sudret, B.1
  • 45
    • 84855756226 scopus 로고    scopus 로고
    • Propagating boundary uncertainties using polynomial expansions
    • doi:10.1016/j.ocemod.2011.11.011
    • Thacker, W., Srinivasan, A., Iskandarani, M., Knio, O., Henaff, M. L.: Propagating boundary uncertainties using polynomial expansions. Ocean Model. (2011). doi: 10. 1016/j. ocemod. 2011. 11. 011.
    • (2011) Ocean Model.
    • Thacker, W.1    Srinivasan, A.2    Iskandarani, M.3    Knio, O.4    Henaff, M.L.5
  • 46
    • 0004228766 scopus 로고
    • Cambridge: Cambridge Mathematical Textbooks. Cambridge University Press
    • Williams, D.: Probability with Martingales. Cambridge Mathematical Textbooks. Cambridge University Press, Cambridge (1991).
    • (1991) Probability with Martingales
    • Williams, D.1
  • 47
    • 33646577797 scopus 로고    scopus 로고
    • High-order collocation methods for differential equations with random inputs
    • Xiu, D., Hesthaven, J.: High-order collocation methods for differential equations with random inputs. SIAM J. Sci. Comput. 27(3), 1118-1139 (2005).
    • (2005) SIAM J. Sci. Comput. , vol.27 , Issue.3 , pp. 1118-1139
    • Xiu, D.1    Hesthaven, J.2
  • 48
    • 0037249229 scopus 로고    scopus 로고
    • The Wiener-Askey polynomial chaos for stochastic differential equations
    • Xiu, D., Karniadakis, G.: 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.2
  • 49
    • 0037408312 scopus 로고    scopus 로고
    • Modeling uncertainty in flow simulations via generalized polynomial chaos
    • Xiu, D., Karniadakis, G.: Modeling uncertainty in flow simulations via generalized polynomial chaos. J. Comput. Phys. 187, 137-167 (2003).
    • (2003) J. Comput. Phys. , vol.187 , pp. 137-167
    • Xiu, D.1    Karniadakis, G.2
  • 50
    • 40149108729 scopus 로고    scopus 로고
    • Nesting the Gulf of Mexico in Atlantic HYCOM: oceanographic processes generated by hurricane Ivan
    • Zamudio, L., Hogan, P. J.: Nesting the Gulf of Mexico in Atlantic HYCOM: oceanographic processes generated by hurricane Ivan. Ocean Model. 21(3-4), 106-125 (2008).
    • (2008) Ocean Model. , vol.21 , Issue.3-4 , pp. 106-125
    • Zamudio, L.1    Hogan, P.J.2


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