메뉴 건너뛰기




Volumn 237, Issue 8, 2008, Pages 1139-1150

Periodic and localized states in natural doubly diffusive convection

Author keywords

Doubly diffusive instability; Localized states; Numerical continuation

Indexed keywords

BOUNDARY CONDITIONS; CONCENTRATION (PROCESS); THERMAL DIFFUSION; THERMAL EFFECTS;

EID: 43049108796     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2007.11.024     Document Type: Article
Times cited : (23)

References (48)
  • 1
    • 0000328230 scopus 로고    scopus 로고
    • Nonlinear doubly diffusive convection in vertical enclosures
    • G. Bardan A. Bergeon E. Knobloch A. Mojtabi Nonlinear doubly diffusive convection in vertical enclosures Physica D 138 2000 91
    • (2000) Physica D , vol.138 , pp. 91
    • Bardan, G.1    Bergeon, A.2    Knobloch, E.3    Mojtabi, A.4
  • 3
    • 0026849210 scopus 로고
    • Numerical study of double diffusive natural convection in a square cavity
    • C. Beghein F. Haghighat F. Allard Numerical study of double diffusive natural convection in a square cavity Int. J. Heat Mass Transfer 35 1992 833
    • (1992) Int. J. Heat Mass Transfer , vol.35 , pp. 833
    • Beghein, C.1    Haghighat, F.2    Allard, F.3
  • 4
    • 0030222415 scopus 로고    scopus 로고
    • Cooperating thermosolutal convection in enclosures: scale analysis and mass transfer
    • R. Bennacer D. Gobin Cooperating thermosolutal convection in enclosures: scale analysis and mass transfer Int. J. Heat Mass Transfer 39 1996 2671
    • (1996) Int. J. Heat Mass Transfer , vol.39 , pp. 2671
    • Bennacer, R.1    Gobin, D.2
  • 6
    • 0000018984 scopus 로고    scopus 로고
    • Double diffusive instability in an inclined cavity
    • A. Bergeon K. Ghorayeb A. Mojtabi Double diffusive instability in an inclined cavity Phys. Fluids 11 1999 549
    • (1999) Phys. Fluids , vol.11 , pp. 549
    • Bergeon, A.1    Ghorayeb, K.2    Mojtabi, A.3
  • 7
    • 0036736131 scopus 로고    scopus 로고
    • Natural doubly diffusive convection in three-dimensional enclosures
    • A. Bergeon E. Knobloch Natural doubly diffusive convection in three-dimensional enclosures Phys. Fluids 14 2002 3233
    • (2002) Phys. Fluids , vol.14 , pp. 3233
    • Bergeon, A.1    Knobloch, E.2
  • 8
    • 33744829750 scopus 로고    scopus 로고
    • Localized states in the generalized Swift–Hohenberg equation
    • J. Burke E. Knobloch Localized states in the generalized Swift–Hohenberg equation Phys. Rev. E 73 2006 056211
    • (2006) Phys. Rev. E , vol.73 , pp. 056211
    • Burke, J.1    Knobloch, E.2
  • 10
    • 0000841505 scopus 로고    scopus 로고
    • Stable static localized structures in one dimension
    • P. Coullet C. Riera C. Tresser Stable static localized structures in one dimension Phys. Rev. Lett. 84 2000 3069
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 3069
    • Coullet, P.1    Riera, C.2    Tresser, C.3
  • 11
    • 0003078274 scopus 로고
    • Symmetry and symmetry-breaking bifurcations in fluid mechanics
    • J.D. Crawford E. Knobloch Symmetry and symmetry-breaking bifurcations in fluid mechanics Annu. Rev. Fluid Mech. 23 1991 341
    • (1991) Annu. Rev. Fluid Mech. , vol.23 , pp. 341
    • Crawford, J.D.1    Knobloch, E.2
  • 12
    • 0003743351 scopus 로고    scopus 로고
    • High-order Methods for Incompressible Fluid Flow
    • M. Deville P.F. Fischer E.H. Mund High-order Methods for Incompressible Fluid Flow 2002 Cambridge University Press
    • (2002)
    • Deville, M.1    Fischer, P.F.2    Mund, E.H.3
  • 13
    • 0003604735 scopus 로고
    • Polynomial Approximation of Differential Equations
    • D. Funaro Polynomial Approximation of Differential Equations 1991 Springer New York
    • (1991)
    • Funaro, D.1
  • 14
    • 85120262107 scopus 로고    scopus 로고
    • K. Ghorayeb, Etude des écoulements de convection thermosolutale en cavité rectangulaire, Thèse de Doctorat de l’Université Paul Sabatier, Toulouse 3, France, 1997
  • 15
    • 0031202495 scopus 로고    scopus 로고
    • Double diffusive convection in a vertical rectangular cavity
    • K. Ghorayeb A. Mojtabi Double diffusive convection in a vertical rectangular cavity Phys. Fluids 9 1997 2339
    • (1997) Phys. Fluids , vol.9 , pp. 2339
    • Ghorayeb, K.1    Mojtabi, A.2
  • 16
    • 0002426078 scopus 로고
    • Double diffusion in a vertical fluid layer: Onset of the convective regime
    • D. Gobin R. Bennacer Double diffusion in a vertical fluid layer: Onset of the convective regime Phys. Fluids 6 1994 59
    • (1994) Phys. Fluids , vol.6 , pp. 59
    • Gobin, D.1    Bennacer, R.2
  • 17
    • 0030222416 scopus 로고    scopus 로고
    • Cooperating thermosolutal convection in enclosures: heat transfer and flow structure
    • D. Gobin R. Bennacer Cooperating thermosolutal convection in enclosures: heat transfer and flow structure Int. J. Heat Mass Transfer 39 1996 2683
    • (1996) Int. J. Heat Mass Transfer , vol.39 , pp. 2683
    • Gobin, D.1    Bennacer, R.2
  • 18
    • 0000451697 scopus 로고
    • Double diffusive natural convection in a vertical rectangular enclosure
    • H. Han T.H. Kuehn Double diffusive natural convection in a vertical rectangular enclosure Int. J. Heat Mass Transfer 34 1991 449
    • (1991) Int. J. Heat Mass Transfer , vol.34 , pp. 449
    • Han, H.1    Kuehn, T.H.2
  • 19
    • 15944428231 scopus 로고    scopus 로고
    • Rigorous numerics for localized patterns to the quintic Swift–Hohenberg equation
    • Y. Hiraoka T. Ogawa Rigorous numerics for localized patterns to the quintic Swift–Hohenberg equation Japan J. Indust. Appl. Math. 22 2005 57
    • (2005) Japan J. Indust. Appl. Math. , vol.22 , pp. 57
    • Hiraoka, Y.1    Ogawa, T.2
  • 20
    • 43949176143 scopus 로고
    • Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
    • G. Iooss M.C. Pérouème Perturbed homoclinic solutions in reversible 1:1 resonance vector fields J. Differential Equations 102 1993 62
    • (1993) J. Differential Equations , vol.102 , pp. 62
    • Iooss, G.1    Pérouème, M.C.2
  • 21
    • 0010379361 scopus 로고
    • Thermosolutal convection with opposed buoyancy forces in shallow enclosures
    • H.D. Jiang S. Ostrach Y. Kamotani Thermosolutal convection with opposed buoyancy forces in shallow enclosures R.S. Figliola P.G. Simpkins. Natural Convection in Enclosures-1988 1988 ASME HTD 165
    • (1988) , pp. 165
    • Jiang, H.D.1    Ostrach, S.2    Kamotani, Y.3
  • 22
    • 0026106201 scopus 로고
    • Unsteady thermosolutal transport phenomena due to opposed buoyancy forces in shallow enclosures
    • H.D. Jiang S. Ostrach Y. Kamotani Unsteady thermosolutal transport phenomena due to opposed buoyancy forces in shallow enclosures J. Heat Transfer 113 1991 135
    • (1991) J. Heat Transfer , vol.113 , pp. 135
    • Jiang, H.D.1    Ostrach, S.2    Kamotani, Y.3
  • 23
    • 0021788674 scopus 로고
    • Experimental study of natural convection in shallow enclosures with horizontal temperature and concentration gradients
    • Y. Kamotani L.W. Wang S. Ostrach H.D. Jiang Experimental study of natural convection in shallow enclosures with horizontal temperature and concentration gradients Int. J. Heat Mass Transfer 28 1985 165
    • (1985) Int. J. Heat Mass Transfer , vol.28 , pp. 165
    • Kamotani, Y.1    Wang, L.W.2    Ostrach, S.3    Jiang, H.D.4
  • 24
    • 28144457683 scopus 로고
    • High-order splitting method for the incompressible Navier–Stokes equations
    • G.Em. Karniadakis M. Israeli S.A. Orszag High-order splitting method for the incompressible Navier–Stokes equations J. Comput. Phys. 97 1991 414
    • (1991) J. Comput. Phys. , vol.97 , pp. 414
    • Karniadakis, G.Em.1    Israeli, M.2    Orszag, S.A.3
  • 25
    • 0001437469 scopus 로고
    • Convection in binary fluids
    • E. Knobloch Convection in binary fluids Phys. Fluids 23 1980 1918
    • (1980) Phys. Fluids , vol.23 , pp. 1918
    • Knobloch, E.1
  • 26
    • 0001591565 scopus 로고
    • Natural convection in confined fluids with combined horizontal temperature and concentration gradients
    • J. Lee M.T. Hyun K.W. Kim Natural convection in confined fluids with combined horizontal temperature and concentration gradients Int. J. Heat Mass Transfer 31 1988 1969
    • (1988) Int. J. Heat Mass Transfer , vol.31 , pp. 1969
    • Lee, J.1    Hyun, M.T.2    Kim, K.W.3
  • 27
    • 0025469299 scopus 로고
    • Double-diffusive convection in a rectangle with opposing horizontal temperature and concentration gradients
    • J.W. Lee J.M. Hyun Double-diffusive convection in a rectangle with opposing horizontal temperature and concentration gradients Int. J. Heat Mass Transfer 33 1990 1619
    • (1990) Int. J. Heat Mass Transfer , vol.33 , pp. 1619
    • Lee, J.W.1    Hyun, J.M.2
  • 29
    • 0029151986 scopus 로고
    • Asymmetry and Hopf bifurcation in spherical Couette flow
    • C.K. Mamun L.S. Tuckerman Asymmetry and Hopf bifurcation in spherical Couette flow Phys. Fluids 7 1995 80
    • (1995) Phys. Fluids , vol.7 , pp. 80
    • Mamun, C.K.1    Tuckerman, L.S.2
  • 31
    • 85120277945 scopus 로고    scopus 로고
    • R. Peyret Spectral Methods for Incompressible Viscous Flow Applied Mathematical Sciences vol. 148 2002 Springer New York
    • (2002)
    • Peyret, R.1
  • 32
    • 0001503601 scopus 로고    scopus 로고
    • Resonant mode interactions in Rayleigh–Bénard convection
    • J. Prat I. Mercader E. Knobloch Resonant mode interactions in Rayleigh–Bénard convection Phys. Rev. E 58 1998 3145
    • (1998) Phys. Rev. E , vol.58 , pp. 3145
    • Prat, J.1    Mercader, I.2    Knobloch, E.3
  • 33
    • 0003715555 scopus 로고    scopus 로고
    • Domain Decomposition Methods for Partial Differential Equations
    • A. Quarteroni A. Vallis Domain Decomposition Methods for Partial Differential Equations 1999 Oxford University Press
    • (1999)
    • Quarteroni, A.1    Vallis, A.2
  • 34
    • 0000147111 scopus 로고
    • Double diffusion in oceanography
    • R.W. Schmidt Double diffusion in oceanography Annu. Rev. Fluid. Mech. 26 1994 255
    • (1994) Annu. Rev. Fluid. Mech. , vol.26 , pp. 255
    • Schmidt, R.W.1
  • 35
    • 0034281997 scopus 로고    scopus 로고
    • Double diffusive convection in a cubic enclosure with opposing temperature and concentration gradients
    • I. Sezai A.A. Mohamad Double diffusive convection in a cubic enclosure with opposing temperature and concentration gradients Phys. Fluids 12 2000 2210
    • (2000) Phys. Fluids , vol.12 , pp. 2210
    • Sezai, I.1    Mohamad, A.A.2
  • 36
    • 0007787771 scopus 로고
    • Double-diffusive flow in enclosures
    • W. Shyy M.-H. Chen Double-diffusive flow in enclosures Phys. Fluids A3 1991 2592
    • (1991) Phys. Fluids , vol.A3 , pp. 2592
    • Shyy, W.1    Chen, M.-H.2
  • 37
    • 0034983640 scopus 로고    scopus 로고
    • Subcritical motions of a binary mixture with anomalous thermodiffusion in a vertical layer
    • L.E. Sorokin Subcritical motions of a binary mixture with anomalous thermodiffusion in a vertical layer Fluid Dynam. 36 2001 11
    • (2001) Fluid Dynam. , vol.36 , pp. 11
    • Sorokin, L.E.1
  • 38
    • 0029105967 scopus 로고
    • Bifurcation phenomena in confined thermosolutal convection with lateral heating: Commencement of the double-diffusive region
    • N. Tsitverblit Bifurcation phenomena in confined thermosolutal convection with lateral heating: Commencement of the double-diffusive region Phys. Fluids 7 1995 718
    • (1995) Phys. Fluids , vol.7 , pp. 718
    • Tsitverblit, N.1
  • 39
    • 0042419442 scopus 로고    scopus 로고
    • Multiplicity of equilibrium states in laterally heated thermosolutal systems with equal diffusivity coefficients
    • N. Tsitverblit Multiplicity of equilibrium states in laterally heated thermosolutal systems with equal diffusivity coefficients Phys. Fluids 11 1999 2516
    • (1999) Phys. Fluids , vol.11 , pp. 2516
    • Tsitverblit, N.1
  • 40
    • 84992261186 scopus 로고
    • The multiplicity of steady flows in confined double-diffusive convection with lateral heating
    • N. Tsitverblit E. Kit The multiplicity of steady flows in confined double-diffusive convection with lateral heating Phys. Fluids A5 1993 1062
    • (1993) Phys. Fluids , vol.A5 , pp. 1062
    • Tsitverblit, N.1    Kit, E.2
  • 41
    • 0000052794 scopus 로고
    • Steady-state solving via Stokes preconditioning: Recursion relations for elliptic operators
    • L.S. Tuckerman Steady-state solving via Stokes preconditioning: Recursion relations for elliptic operators D.L. Dwoyer M.Y. Hussaini R.G. Voigt Proc. of the Eleventh Int. Conf. on Numerical Methods in Fluid Dynamics 1989 Springer New York 573
    • (1989) , pp. 573
    • Tuckerman, L.S.1
  • 44
    • 0000830011 scopus 로고
    • Transport phenomena in crystal growth from solution
    • W.R. Wilcox Transport phenomena in crystal growth from solution Prog. Crystal Growth Charact. 26 1993 153
    • (1993) Prog. Crystal Growth Charact. , vol.26 , pp. 153
    • Wilcox, W.R.1
  • 45
    • 0346500773 scopus 로고    scopus 로고
    • Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate Hamiltonian–Hopf bifurcation
    • P.D. Woods A.R. Champneys Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate Hamiltonian–Hopf bifurcation Physica D 129 1999 147
    • (1999) Physica D , vol.129 , pp. 147
    • Woods, P.D.1    Champneys, A.R.2
  • 46
    • 11744373019 scopus 로고    scopus 로고
    • Bifurcation analysis of double-diffusive convection with opposing horizontal thermal and solutal gradients
    • S. Xin P. Le Quéré L.S. Tuckerman Bifurcation analysis of double-diffusive convection with opposing horizontal thermal and solutal gradients Phys. Fluids 10 1998 850
    • (1998) Phys. Fluids , vol.10 , pp. 850
    • Xin, S.1    Le Quéré, P.2    Tuckerman, L.S.3
  • 47
    • 0030769574 scopus 로고    scopus 로고
    • On asymmetric gravity–capillary solitary waves
    • T.-S. Yang T.R. Akylas On asymmetric gravity–capillary solitary waves J. Fluid Mech. 330 1997 215
    • (1997) J. Fluid Mech. , vol.330 , pp. 215
    • Yang, T.-S.1    Akylas, T.R.2
  • 48
    • 33845738830 scopus 로고    scopus 로고
    • Reciprocal oscillons and nonmonotonic fronts in forced nonequilibrium systems
    • A. Yochelis J. Burke E. Knobloch Reciprocal oscillons and nonmonotonic fronts in forced nonequilibrium systems Phys. Rev. Lett. 97 2006 254501
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 254501
    • Yochelis, A.1    Burke, J.2    Knobloch, E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.