메뉴 건너뛰기




Volumn 36, Issue 3, 2007, Pages 499-512

Real-time optimization using proper orthogonal decomposition: Free surface shape prediction due to underwater bubble dynamics

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; INTERPOLATION; MATHEMATICAL MODELS; OPTIMIZATION;

EID: 33845273819     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2006.01.016     Document Type: Article
Times cited : (38)

References (29)
  • 1
    • 0029308198 scopus 로고
    • Efficient linear circuit analysis by Padé approximation via the Lanczos process
    • Feldmann P., and Freund R.W. Efficient linear circuit analysis by Padé approximation via the Lanczos process. IEEE Trans Comput Aided Des Integrated Circ Syst 14 (1995) 639-649
    • (1995) IEEE Trans Comput Aided Des Integrated Circ Syst , vol.14 , pp. 639-649
    • Feldmann, P.1    Freund, R.W.2
  • 2
    • 0028756223 scopus 로고    scopus 로고
    • Gallivan K, Grimme E, Van Dooren P. Padé approximation of large-scale dynamic systems with Lanczos methods. In: Proc of the 33rd IEEE conf on decision and control, December, 1994.
  • 3
    • 0019533482 scopus 로고
    • Principal component analysis in linear systems: Controllability, observability, and model reduction
    • Moore B.C. Principal component analysis in linear systems: Controllability, observability, and model reduction. IEEE Trans Autom Control AC-26 1 (1981) 17-31
    • (1981) IEEE Trans Autom Control , vol.AC-26 , Issue.1 , pp. 17-31
    • Moore, B.C.1
  • 4
    • 4544354870 scopus 로고    scopus 로고
    • A survey of model reduction by balanced truncation and some new results
    • Gugercin S., and Antoulas A. A survey of model reduction by balanced truncation and some new results. Int J Control 77 (2004) 748-766
    • (2004) Int J Control , vol.77 , pp. 748-766
    • Gugercin, S.1    Antoulas, A.2
  • 5
    • 0037287244 scopus 로고    scopus 로고
    • Low rank solution of Lyapunov equations
    • Li J., and White J. Low rank solution of Lyapunov equations. SIAM J Matrix Anal Appl 24 1 (2002) 260-280
    • (2002) SIAM J Matrix Anal Appl , vol.24 , Issue.1 , pp. 260-280
    • Li, J.1    White, J.2
  • 6
    • 0003321083 scopus 로고    scopus 로고
    • Reliable real-time solution of parameterized partial differential equations: Reduced-basis output bound methods
    • Prud'homme C., Rovas D., Veroy K., Maday Y., Patera A.T., and Turinici G. Reliable real-time solution of parameterized partial differential equations: Reduced-basis output bound methods. J Fluids Eng 124 (2002) 70-80
    • (2002) J Fluids Eng , vol.124 , pp. 70-80
    • Prud'homme, C.1    Rovas, D.2    Veroy, K.3    Maday, Y.4    Patera, A.T.5    Turinici, G.6
  • 8
    • 0000246863 scopus 로고
    • Turbulence and the dynamics of coherent structures, Part 1: Coherent structures
    • Sirovich L. Turbulence and the dynamics of coherent structures, Part 1: Coherent structures. Q Appl Math 45 3 (1987) 561-571
    • (1987) Q Appl Math , vol.45 , Issue.3 , pp. 561-571
    • Sirovich, L.1
  • 9
    • 0002323798 scopus 로고
    • Statistics in function space
    • Kosambi D.D. Statistics in function space. J Indian Math Soc 7 (1943) 76-88
    • (1943) J Indian Math Soc , vol.7 , pp. 76-88
    • Kosambi, D.D.1
  • 10
    • 0003981320 scopus 로고
    • D. Van Nostrand Company Inc., New York
    • Loéve M. Probability Theory (1955), D. Van Nostrand Company Inc., New York
    • (1955) Probability Theory
    • Loéve, M.1
  • 11
    • 58149421595 scopus 로고
    • Analysis of a complex of statistical variables with principal components
    • p. 498-520
    • Hotelling H. Analysis of a complex of statistical variables with principal components. J Educ Psychol 24 (1933) 417-441 p. 498-520
    • (1933) J Educ Psychol , vol.24 , pp. 417-441
    • Hotelling, H.1
  • 12
    • 0034965813 scopus 로고    scopus 로고
    • Modeling of fluid-structure interaction
    • Dowell E.H., and Hall K.C. Modeling of fluid-structure interaction. Annu Rev Fluid Mech 33 (2001) 445-449
    • (2001) Annu Rev Fluid Mech , vol.33 , pp. 445-449
    • Dowell, E.H.1    Hall, K.C.2
  • 13
    • 0033077588 scopus 로고    scopus 로고
    • A coordinate-transformed Arnoldi algorithm for generating guaranteed stable reduced-order models of RLC circuits
    • Silveira L.M., Kamon M., Elfadel I., and White J. A coordinate-transformed Arnoldi algorithm for generating guaranteed stable reduced-order models of RLC circuits. Comput Meth Appl Mech Eng 169 3-4 (1999) 377-389
    • (1999) Comput Meth Appl Mech Eng , vol.169 , Issue.3-4 , pp. 377-389
    • Silveira, L.M.1    Kamon, M.2    Elfadel, I.3    White, J.4
  • 14
    • 33845238385 scopus 로고    scopus 로고
    • Hinze M, Volkwein S. Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: Error estimates and suboptimal control. Technische Universitat Dresden, SFB609-Preprint-27-2004, 2004.
  • 15
    • 0033177060 scopus 로고    scopus 로고
    • Control of Burgers' equation by reduced order approach using proper orthogonal decomposition
    • Kunisch K., and Volkwein S. Control of Burgers' equation by reduced order approach using proper orthogonal decomposition. J Optim Theory Appl 102 (1999) 345-371
    • (1999) J Optim Theory Appl , vol.102 , pp. 345-371
    • Kunisch, K.1    Volkwein, S.2
  • 16
    • 84970908898 scopus 로고
    • The Karhunen-Loève for gappy data
    • Everson R., and Sirovich L. The Karhunen-Loève for gappy data. J Opt Soc Am 12 (1995) 1657-1664
    • (1995) J Opt Soc Am , vol.12 , pp. 1657-1664
    • Everson, R.1    Sirovich, L.2
  • 17
    • 33845257658 scopus 로고    scopus 로고
    • Bui-Thanh T, Damodaran M, Willcox K. Aerodynamic data reconstruction and inverse design using proper orthogonal decomposition. AIAA paper 2003, p. 4231.
  • 18
    • 26844464354 scopus 로고    scopus 로고
    • Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition
    • Willcox K. Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition. Comput Fluids 35 2 (2006) 208-226
    • (2006) Comput Fluids , vol.35 , Issue.2 , pp. 208-226
    • Willcox, K.1
  • 19
    • 84905728513 scopus 로고    scopus 로고
    • Epureanu BI, Dowell EH, Hall KC. A parametric analysis of reduced-order models of potential flows in turbomachinery using proper orthogonal decomposition. 2001-GT-0434. In: Proc of ASME TURBO EXPO 2001, New Orleans, Louisiana, June 2001.
  • 20
    • 33845269909 scopus 로고    scopus 로고
    • Ly HV, Tran HT. Modeling and control of physical processes using proper orthogonal decomposition. J Math Comput Model.
  • 21
    • 33845257721 scopus 로고    scopus 로고
    • Akcelik V, Bielak J, Biros G, Epanomeritakis I, Fernandez A, Ghattas O, et al., Terascale forward and inverse earthquake modeling. In: Proc of SC2003, 2003.
  • 22
    • 0030422860 scopus 로고    scopus 로고
    • Strong interaction between a buoyancy bubble and a free surface
    • Wang Q.X., Yeo K.S., Khoo B.C., and Lam K.Y. Strong interaction between a buoyancy bubble and a free surface. Theoret Comput Fluid Dyn 8 (1996) 73-88
    • (1996) Theoret Comput Fluid Dyn , vol.8 , pp. 73-88
    • Wang, Q.X.1    Yeo, K.S.2    Khoo, B.C.3    Lam, K.Y.4
  • 23
    • 0030239388 scopus 로고    scopus 로고
    • Nonlinear interaction between gas bubble and free surface
    • Wang Q.X., Yeo K.S., Khoo B.C., and Lam K.Y. Nonlinear interaction between gas bubble and free surface. Comput Fluid 25 7 (1996) 607-628
    • (1996) Comput Fluid , vol.25 , Issue.7 , pp. 607-628
    • Wang, Q.X.1    Yeo, K.S.2    Khoo, B.C.3    Lam, K.Y.4
  • 24
    • 0033619908 scopus 로고    scopus 로고
    • Simulation of three-dimensional bubbles using desingularised boundary integral method
    • Zhang Y.L., Yeo K.S., Khoo B.C., and Chong W.K. Simulation of three-dimensional bubbles using desingularised boundary integral method. Int J Numer Meth Fluids 31 8 (1999) 1311-1320
    • (1999) Int J Numer Meth Fluids , vol.31 , Issue.8 , pp. 1311-1320
    • Zhang, Y.L.1    Yeo, K.S.2    Khoo, B.C.3    Chong, W.K.4
  • 25
    • 0013309499 scopus 로고    scopus 로고
    • Three-dimensional computation of bubbles near a free surface
    • Zhang Y.L., Yeo K.S., Khoo B.C., and Chong W.K. Three-dimensional computation of bubbles near a free surface. J Comput Phys 146 (1998) 105-123
    • (1998) J Comput Phys , vol.146 , pp. 105-123
    • Zhang, Y.L.1    Yeo, K.S.2    Khoo, B.C.3    Chong, W.K.4
  • 26
    • 0037412030 scopus 로고    scopus 로고
    • The merging of two gaseous bubbles with an application to underwater explosion
    • Rungsiyaphornrat S., Klaseboer E., Khoo B.C., and Yeo K.S. The merging of two gaseous bubbles with an application to underwater explosion. Comput Fluid 32 (2003) 1049-1074
    • (2003) Comput Fluid , vol.32 , pp. 1049-1074
    • Rungsiyaphornrat, S.1    Klaseboer, E.2    Khoo, B.C.3    Yeo, K.S.4
  • 27
    • 0026805077 scopus 로고
    • A numerical investigation of nonspherical rebounding bubbles
    • Best J.P., and Kucera A. A numerical investigation of nonspherical rebounding bubbles. J Fluid Mech 245 (1992) 137-154
    • (1992) J Fluid Mech , vol.245 , pp. 137-154
    • Best, J.P.1    Kucera, A.2
  • 28
    • 0008771237 scopus 로고
    • The early stages of a submarine explosion
    • Lamb H. The early stages of a submarine explosion. Philos Mag 45 (1923) 257-265
    • (1923) Philos Mag , vol.45 , pp. 257-265
    • Lamb, H.1
  • 29
    • 33845267884 scopus 로고    scopus 로고
    • My-Ha D. Model Order Reduction for Prediction of Free Surface Shape due to Underwater Bubbles Dynamics. ME Thesis, National University of Singapore, Singapore, June 2004.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.