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Volumn 65, Issue 3, 2013, Pages 362-379

POD reduced-order unstructured mesh modeling applied to 2D and 3D fluid flow

Author keywords

3D flows; Finite element; Numerical simulation; POD reduced order model; Unstructured mesh

Indexed keywords

3D FLOW; ASSEMBLY PROCESS; DISCRETIZATION METHOD; DISCRETIZED SYSTEMS; FINITE ELEMENT; FINITE ELEMENT SOLUTION; FLUID FLOW MODELS; FULL MODEL; GOVERNING EQUATIONS; MATRIX EQUATIONS; MODEL ORDER REDUCTION; NONLINEAR PARAMETERIZATIONS; NONLINEAR PROBLEMS; PERTURBATION APPROACH; POLYNOMIAL REPRESENTATIONS; PROPER ORTHOGONAL DECOMPOSITIONS; REDUCED BASIS; REDUCED ORDER; REDUCED ORDER MODELS; REDUCED-ORDER MODELING; SOURCE TERMS; UNSTRUCTURED MESHES;

EID: 84872612270     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2012.06.009     Document Type: Article
Times cited : (59)

References (32)
  • 3
    • 0032097263 scopus 로고
    • second ed. Computer Science and Scientific Computing Series Academic Press Boston, MA
    • K. Fukunaga Introduction to Statistical Recognition second ed. Computer Science and Scientific Computing Series 1990 Academic Press Boston, MA
    • (1990) Introduction to Statistical Recognition
    • Fukunaga, K.1
  • 5
    • 4844222391 scopus 로고    scopus 로고
    • Strategies for model reduction: Comparing different optimal bases
    • DOI 10.1175/1520-0469(2004)061 <2206:SFMRCD>2.0.CO;2
    • D.T. Crommelin, and A.J. Majda Strategies for model reduction: comparing different optimal bases Journal of the Atmospheric Sciences 61 2004 2206 2217 (Pubitemid 39320301)
    • (2004) Journal of the Atmospheric Sciences , vol.61 , Issue.17 , pp. 2206-2217
    • Crommelin, D.T.1    Majda, A.J.2
  • 7
    • 78650685287 scopus 로고    scopus 로고
    • An optimizing finite difference scheme based on proper orthogonal decomposition for CVD equations
    • J. Du, J. Zhu, Z.D. Luo, and I.M. Navon An optimizing finite difference scheme based on proper orthogonal decomposition for CVD equations Communications in Numerical Methods in Engineering 27 1 2011 78 94
    • (2011) Communications in Numerical Methods in Engineering , vol.27 , Issue.1 , pp. 78-94
    • Du, J.1    Zhu, J.2    Luo, Z.D.3    Navon, I.M.4
  • 8
    • 38849157784 scopus 로고    scopus 로고
    • An optimizing reduced order FDS for the tropical Pacific Ocean reduced gravity model
    • DOI 10.1002/fld.1452
    • Z. Luo, J. Chen, J. Zhu, R. Wang, and I.M. Navon An optimizing reduced order FDS for the tropical Pacific Ocean reduced gravity model International Journal for Numerical Methods in Fluids 55 2 2007 143 161 (Pubitemid 351193170)
    • (2007) International Journal for Numerical Methods in Fluids , vol.55 , Issue.2 , pp. 143-161
    • Luo, Z.1    Chen, J.2    Zhu, J.3    Wang, R.4    Navon, I.M.5
  • 9
    • 34548380342 scopus 로고    scopus 로고
    • Finite difference scheme based on proper orthogonal decomposition for the non-stationary Navier-Stokes equations
    • Z. Luo, R. Wang, and J. Zhu Finite difference scheme based on proper orthogonal decomposition for the non-stationary Navier-Stokes equations Science in China Series A: Mathematics 50 8 2007 1186 1196
    • (2007) Science in China Series A: Mathematics , vol.50 , Issue.8 , pp. 1186-1196
    • Luo, Z.1    Wang, R.2    Zhu, J.3
  • 10
    • 34547660515 scopus 로고    scopus 로고
    • Proper orthogonal decomposition approach and error estimation of mixed finite element methods for the tropical Pacific Ocean reduced gravity model
    • DOI 10.1016/j.cma.2007.04.003, PII S0045782507001727
    • Z. Luo, J. Zhu, R. Wang, and I.M. Navon Proper orthogonal decomposition approach and error estimation of mixed finite element methods for the tropical Pacific Ocean reduced gravity model Computer Methods in Applied Mechanics and Engineering 196 41-44 2007 4184 4195 (Pubitemid 47207765)
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.41-44 , pp. 4184-4195
    • Luo, Z.1    Zhu, J.2    Wang, R.3    Navon, I.M.4
  • 11
    • 33846890655 scopus 로고    scopus 로고
    • Reduced-Order Modeling of the Upper Tropical Pacific Ocean Model using Proper Orthogonal Decomposition
    • DOI 10.1016/j.camwa.2006.11.012, PII S0898122106003245, Variational Data Assimilation and Optimal Control
    • Y. Cao, J. Zhu, Z. Luo, and I.M. Navon Reduced order modeling of the upper tropical Pacific Ocean model using proper orthogonal decomposition Computers and Mathematics with Applications 52 2006 1373 1386 (Pubitemid 46227857)
    • (2006) Computers and Mathematics with Applications , vol.52 , Issue.8-9 , pp. 1373-1386
    • Cao, Y.1    Zhu, J.2    Luo, Z.3    Navon, I.M.4
  • 12
    • 33947515129 scopus 로고    scopus 로고
    • A reduced-order approach to four-dimensional variational data assimilation using proper orthogonal decomposition
    • DOI 10.1002/fld.1365
    • Y. Cao, J. Zhu, I.M. Navon, and Z. Luo A reduced order approach to four-dimensional variational data assimilation using proper orthogonal decomposition International Journal for Numerical Methods in Fluids 53 2007 1571 1583 (Pubitemid 46470732)
    • (2007) International Journal for Numerical Methods in Fluids , vol.53 , Issue.10 , pp. 1571-1583
    • Cao, Y.1    Zhu, J.2    Navon, I.M.3    Luo, Z.4
  • 14
    • 15744385841 scopus 로고    scopus 로고
    • Une méthode d'«intepolation empirique»: Application á la discrétisation efficace par base réduite d'equations aux dériveés partielles
    • DOI 10.1016/j.crma.2004.08.006, PII S1631073X04004248
    • M. Barrault, Y. Maday, N.C. Nguyen, and A.T. Patera An 'empirical interpolation' method: application to efficient reduced-basis discretization of partial differential equations Comptes Rendus Mathematique 339 9 2004 667 672 (Pubitemid 41447538)
    • (2004) Comptes Rendus Mathematique , vol.339 , Issue.9 , pp. 667-672
    • Barrault, M.1    Maday, Y.2    Nguyen, N.C.3    Patera, A.T.4
  • 15
    • 78149314237 scopus 로고    scopus 로고
    • Nonlinear model reduction via discrete empirical interpolation
    • S. Chaturantabut, and D.C. Sorensen Nonlinear model reduction via discrete empirical interpolation SIAM Journal on Scientific Computing 32 5 2010 2737 2764
    • (2010) SIAM Journal on Scientific Computing , vol.32 , Issue.5 , pp. 2737-2764
    • Chaturantabut, S.1    Sorensen, D.C.2
  • 17
    • 79960903533 scopus 로고    scopus 로고
    • Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media
    • S. Chaturantabut, and D.C. Sorensen Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media Mathematical and Computer Modelling of Dynamical Systems 17 4 2011 337 353
    • (2011) Mathematical and Computer Modelling of Dynamical Systems , vol.17 , Issue.4 , pp. 337-353
    • Chaturantabut, S.1    Sorensen, D.C.2
  • 20
    • 11844255763 scopus 로고    scopus 로고
    • A nonhydrostatic finite-element model for three-dimensional stratified oceanic flows. Part I: Model formulation
    • DOI 10.1175/MWR2824.1
    • R. Ford, C.C. Pain, M.D. Piggott, A.J.H. Goddard, C.R.E. de Oliveira, and A.P. Umbleby A nonhydrostatic finite-element model for three-dimensional stratified oceanic flows. Part I: model formulation Monthly Weather Review 132 12 2004 2816 2831 (Pubitemid 40099009)
    • (2004) Monthly Weather Review , vol.132 , Issue.12 , pp. 2816-2831
    • Ford, R.1    Pain, C.C.2    Piggott, M.D.3    Goddard, A.J.H.4    De Oliveira, C.R.E.5    Umpleby, A.P.6
  • 21
    • 84861156120 scopus 로고    scopus 로고
    • Data Assimilation for Geophysical Fluids. Chapter in Computational Methods for the Atmosphere and the Oceans
    • R. Temam, J. Tribbia (Guest Editors) Elsevier Science Ltd., New York ISBN-13: 978-0444518934 (Philippe G. Ciarlet (Ed.)
    • J. Blum, F.X. Le Dimet, I.M. Navon, Data Assimilation for Geophysical Fluids. Chapter in Computational Methods for the Atmosphere and the Oceans, in: R. Temam, J. Tribbia (Guest Editors), Special Volume of Handbook of Numerical Analysis, vol. 14, Elsevier Science Ltd., New York, 2009, p. 784. ISBN-13: 978-0444518934 (Philippe G. Ciarlet (Ed.).
    • (2009) Special Volume of Handbook of Numerical Analysis , vol.14 , pp. 784
    • Blum, J.1    Le Dimet, F.X.2    Navon, I.M.3
  • 22
    • 0024475762 scopus 로고
    • Characteristic-eddy decomposition of turbulence in channel
    • P. Moin, and R.D. Moser Characteristic-eddy decomposition of turbulence in channel Journal of Fluid Mechanics 200 1989 417 509
    • (1989) Journal of Fluid Mechanics , vol.200 , pp. 417-509
    • Moin, P.1    Moser, R.D.2
  • 23
    • 0030857888 scopus 로고    scopus 로고
    • A self-contained automated methodology for optimal flow control validated for transition delay
    • R.D. Joslin, M.D. Gunzburger, R.A. Nicolaides, G. Erlebacher, and M.Y. Hussaini A self-contained automated methodology for optimal flow control validated for transition delay AIAA Journal 35 1997 816 824
    • (1997) AIAA Journal , vol.35 , pp. 816-824
    • Joslin, R.D.1    Gunzburger, M.D.2    Nicolaides, R.A.3    Erlebacher, G.4    Hussaini, M.Y.5
  • 24
    • 0036903563 scopus 로고    scopus 로고
    • Proper orthogonal decomposition for flow calculations and optimal control in a horizontal CVD reactor
    • H.V. Ly, and H.T. Tran Proper orthogonal decomposition for flow calculations and optimal control in a horizontal CVD reactor Quarterly of Applied Mathematics 60 2002 631 656 (Pubitemid 35468511)
    • (2002) Quarterly of Applied Mathematics , vol.60 , Issue.4 , pp. 631-656
    • Ly, H.V.1    Tran, H.T.2
  • 28
    • 84974486810 scopus 로고
    • Gravity currents and related phenomena
    • T.B. Benjamin Gravity currents and related phenomena Journal of Fluid Mechanics 31 1968 209 248
    • (1968) Journal of Fluid Mechanics , vol.31 , pp. 209-248
    • Benjamin, T.B.1
  • 29
    • 80052725698 scopus 로고    scopus 로고
    • Approximate deconvolution large eddy simulation of a barotropic ocean circulation model
    • O. San, A.E. Staples, Z. Wang, and T. Iliescu Approximate deconvolution large eddy simulation of a barotropic ocean circulation model Ocean Modelling 40 2011 120 132
    • (2011) Ocean Modelling , vol.40 , pp. 120-132
    • San, O.1    Staples, A.E.2    Wang, Z.3    Iliescu, T.4
  • 31
    • 84872604585 scopus 로고    scopus 로고
    • Variational multiscale proper orthogonal decomposition: Convection-dominated convection-diffusion equations
    • arxiv:1103.2729 (in press)
    • T. Iliescu, Z. Wang, Variational multiscale proper orthogonal decomposition: convection-dominated convection-diffusion equations, Mathematics of Computation (2012) (in press). Available on arXiv:1103.2729.
    • (2012) Mathematics of Computation
    • Iliescu, T.1    Wang, Z.2
  • 32
    • 84874020720 scopus 로고    scopus 로고
    • Asymptotic error expansions for hypersingular integrals
    • on line first
    • J. Huang, Z. Wang, R. Zhu, Asymptotic error expansions for hypersingular integrals, Advances in Computational Mathematics (2011), on line first (http://dx.doi.org/10.1007/s10444-011-9236-x).
    • (2011) Advances in Computational Mathematics
    • Huang, J.1    Wang, Z.2    Zhu, R.3


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