메뉴 건너뛰기




Volumn 5, Issue 2-4, 2009, Pages 649-666

Chebyshev collocation for optimal control in a thermoconvective flow

Author keywords

Boussinesq Navier Stokes; Chebyshev collocation; Optimal boundary control

Indexed keywords


EID: 61349198971     PISSN: 18152406     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper
Times cited : (8)

References (24)
  • 1
    • 0000083337 scopus 로고
    • Some optimal control problems of multistate equations appearing in fluid mechanics
    • F. Abergel and E. Casas, Some optimal control problems of multistate equations appearing in fluid mechanics, RAIRO Model. Math. Anal. Numer., 27 (1993), 223-247.
    • (1993) RAIRO Model. Math. Anal. Numer , vol.27 , pp. 223-247
    • Abergel, F.1    Casas, E.2
  • 2
  • 3
    • 0000248451 scopus 로고
    • Les tourbillons cellulaires dans une nappe liquide
    • H. Bénard, Les tourbillons cellulaires dans une nappe liquide, Rev. Gén. Sci. Pures Appl., 11 (1900), 1261.
    • (1900) Rev. Gén. Sci. Pures Appl , vol.11 , pp. 1261
    • Bénard, H.1
  • 5
    • 0001004289 scopus 로고
    • Generalized inf-sup conditions for Chebyshev spectral approximation of the Stokes problem
    • C. Bernardi, C. Canuto and Y. Maday, Generalized inf-sup conditions for Chebyshev spectral approximation of the Stokes problem, SIAM J. Numer. Anal., 25 (1988), 1237-1271.
    • (1988) SIAM J. Numer. Anal , vol.25 , pp. 1237-1271
    • Bernardi, C.1    Canuto, C.2    Maday, Y.3
  • 6
    • 0000494353 scopus 로고
    • Properties of some weighted Sobolev spaces and applications to spectral approximations
    • C. Bernardi and Y. Maday, Properties of some weighted Sobolev spaces and applications to spectral approximations, SIAM J. Numer. Anal., 26(4) (1989), 769-829.
    • (1989) SIAM J. Numer. Anal , vol.26 , Issue.4 , pp. 769-829
    • Bernardi, C.1    Maday, Y.2
  • 8
    • 0028499973 scopus 로고
    • Optimal control of Navier-Stokes equations
    • M. Desai and K. Ito, Optimal control of Navier-Stokes equations, SIAM J. Optim. Control, 32 (1994), 1428-1446.
    • (1994) SIAM J. Optim. Control , vol.32 , pp. 1428-1446
    • Desai, M.1    Ito, K.2
  • 9
    • 0026799784 scopus 로고
    • Existence of optimal controls for viscous flow problems
    • H. O. Fattorini and S. S. Sritharan, Existence of optimal controls for viscous flow problems, Proc. Roy. Soc. London Ser. A, 439 (1992), 81-102.
    • (1992) Proc. Roy. Soc. London Ser. A , vol.439 , pp. 81-102
    • Fattorini, H.O.1    Sritharan, S.S.2
  • 10
    • 0000697009 scopus 로고
    • Analysis and finite elements approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls
    • M. Gunzburger, L. Hou and T. Svobodney, Analysis and finite elements approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls, RAIRO Model. Math. Anal. Numer., 25 (1991), 123-151.
    • (1991) RAIRO Model. Math. Anal. Numer , vol.25 , pp. 123-151
    • Gunzburger, M.1    Hou, L.2    Svobodney, T.3
  • 11
    • 0037142390 scopus 로고    scopus 로고
    • On pressure boundary conditions for thermoconvective problems
    • H. Herrero and A. M. Mancho, On pressure boundary conditions for thermoconvective problems, Int. J. Numer. Meth. Fluids, 39 (2002), 391-402.
    • (2002) Int. J. Numer. Meth. Fluids , vol.39 , pp. 391-402
    • Herrero, H.1    Mancho, A.M.2
  • 12
    • 0032252114 scopus 로고    scopus 로고
    • L. S. Hou and S. S. Ravindran, Penalty methods for numerical approximations of optimal boundary flow control problems, Int. J. Comput. Fluid D, 11(1-2) (1998), 157-167.
    • L. S. Hou and S. S. Ravindran, Penalty methods for numerical approximations of optimal boundary flow control problems, Int. J. Comput. Fluid D, 11(1-2) (1998), 157-167.
  • 13
    • 0037053065 scopus 로고    scopus 로고
    • S. Hoyas, H. Herrero and A. M. Mancho, Thermal convection in a cylindrical annulus heated laterally, J. Phys. A: Math and Gen., 35 (2002), 4067-4083.
    • S. Hoyas, H. Herrero and A. M. Mancho, Thermal convection in a cylindrical annulus heated laterally, J. Phys. A: Math and Gen., 35 (2002), 4067-4083.
  • 14
    • 20444375497 scopus 로고    scopus 로고
    • Bénard-Marangoni convection in a differentially heated cylindrical cavity
    • S. Hoyas, A. M. Mancho, H. Herrero, N. Garnier and A. Chiffaudel, Bénard-Marangoni convection in a differentially heated cylindrical cavity, Phys. Fluids, 17 (2005), 054104.
    • (2005) Phys. Fluids , vol.17 , pp. 054104
    • Hoyas, S.1    Mancho, A.M.2    Herrero, H.3    Garnier, N.4    Chiffaudel, A.5
  • 15
    • 0032206615 scopus 로고    scopus 로고
    • Optimal control of thermally convected fluid flows
    • K. Ito and S. S. Ravindran, Optimal control of thermally convected fluid flows, SIAM J. Sci. Comput., 19 (1998), 1847-1869.
    • (1998) SIAM J. Sci. Comput , vol.19 , pp. 1847-1869
    • Ito, K.1    Ravindran, S.S.2
  • 16
    • 0034080351 scopus 로고    scopus 로고
    • Instabilities in a laterally heated liquid layer
    • A. M. Mancho and H. Herrero, Instabilities in a laterally heated liquid layer, Phys. Fluids, 12 (1998), 1044-1051.
    • (1998) Phys. Fluids , vol.12 , pp. 1044-1051
    • Mancho, A.M.1    Herrero, H.2
  • 19
    • 34547442926 scopus 로고    scopus 로고
    • M. C. Navarro and H. Herrero, Effects of optimal control over thermoconvective patterns, Phys. Rev. E, 75 (2007), 067203 1-4.
    • M. C. Navarro and H. Herrero, Effects of optimal control over thermoconvective patterns, Phys. Rev. E, 75 (2007), 067203 1-4.
  • 20
    • 40549127169 scopus 로고    scopus 로고
    • Efficient solution of a generalized eigenvalue problem arising in a thermoconvective instability
    • M. C. Navarro, H. Herrero, A. M. Mancho and A. Wathen, Efficient solution of a generalized eigenvalue problem arising in a thermoconvective instability, Commun. Comput. Phys., 3 (2008), 308-329.
    • (2008) Commun. Comput. Phys , vol.3 , pp. 308-329
    • Navarro, M.C.1    Herrero, H.2    Mancho, A.M.3    Wathen, A.4
  • 21
    • 8644220592 scopus 로고    scopus 로고
    • Synthesis of homogeneous materials by splat solidification in short-duration microgravity
    • T. Okutani, H. Nagai and Y. Nakata, Synthesis of homogeneous materials by splat solidification in short-duration microgravity, Key Eng. Mat., 264-268: 761-764, 2004.
    • (2004) Key Eng. Mat , vol.264-268 , pp. 761-764
    • Okutani, T.1    Nagai, H.2    Nakata, Y.3
  • 22
    • 0025752021 scopus 로고
    • A theoretical model of thermocapillary flows in laser welding
    • N. Postacioglu, P. Kapadia and J. Dowen, A theoretical model of thermocapillary flows in laser welding, J. Phys. D: Appl. Phys., 24 (1991), 15-20.
    • (1991) J. Phys. D: Appl. Phys , vol.24 , pp. 15-20
    • Postacioglu, N.1    Kapadia, P.2    Dowen, J.3
  • 23
    • 0000009706 scopus 로고
    • On convective currents in a horizontal layer of fluid when the temperature is on the under side
    • Lord Rayleigh, On convective currents in a horizontal layer of fluid when the temperature is on the under side, Phil. Mag., 32 (1916), 529-46.
    • (1916) Phil. Mag , vol.32 , pp. 529-546
    • Rayleigh, L.1
  • 24
    • 0026141375 scopus 로고
    • Dynamic programming of the Navier-Stokes equations
    • S. Sritharan, Dynamic programming of the Navier-Stokes equations, System Control Lett., 16 (1991), 229-307.
    • (1991) System Control Lett , vol.16 , pp. 229-307
    • Sritharan, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.