메뉴 건너뛰기




Volumn 45, Issue 8, 2009, Pages

Nonnormality and transient behavior of the de Saint-Venant-Exner equations

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTICALLY STABLE; DIFFERENTIAL OPERATORS; MORPHODYNAMICS; NON-NORMALITY; NONLINEAR INSTABILITY; NONMONOTONIC; NORMAL MODES; RIVER MORPHODYNAMICS; SAINT-VENANT; SHALLOW-WATER FLOW; SMALL DISTURBANCES; STABILITY PROBLEM; TRANSIENT BEHAVIOR; TRANSIENT GROWTH; WATER STREAMS;

EID: 70349764501     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2008WR007587     Document Type: Article
Times cited : (13)

References (40)
  • 1
    • 58149139535 scopus 로고    scopus 로고
    • An optimal path to transition in a duct, Philos
    • Biau, D., and A. Bottaro (2009), An optimal path to transition in a duct, Philos. Trans. R. Soc. Ser. A, 367, 529-544.
    • (2009) Trans. R. Soc. Ser. A , vol.367 , pp. 529-544
    • Biau, D.1    Bottaro, A.2
  • 2
    • 0026805338 scopus 로고
    • Three-dimensional optimal perturbations in viscous shear flows
    • Butler, K. M., and B. F. Farrel (1992), Three-dimensional optimal perturbations in viscous shear flows, Phys. Fluids A, 4, 1637-1650.
    • (1992) Phys. Fluids A , vol.4 , pp. 1637-1650
    • Butler, K.M.1    Farrel, B.F.2
  • 3
    • 49449102616 scopus 로고    scopus 로고
    • Comment on "Long waves in erodible channels and morphodynamic influence" by Stefano Lanzoni et al
    • 10.1029/2006WR005829.
    • Cao, Z., and P. Hu (2008), Comment on "Long waves in erodible channels and morphodynamic influence" by Stefano Lanzoni et al., Water Resour. Res., 44, W06601, doi:10.1029/2006WR005829.
    • (2008) Water Resour. Res. , vol.44
    • Cao, Z.1    Hu, P.2
  • 4
    • 0034282122 scopus 로고    scopus 로고
    • Coherent structures, self-similarity, and universal roll wave coarsening dynamics
    • Chang, H.-C., E. Demekhin, and E. Kalidin (2000), Coherent structures, self-similarity, and universal roll wave coarsening dynamics, Phys. Fluids, 12, 2268-2278.
    • (2000) Phys. Fluids , vol.12 , pp. 2268-2278
    • Chang, H.-C.1    Demekhin, E.2    Kalidin, E.3
  • 5
    • 33746708689 scopus 로고    scopus 로고
    • On transient growth oscillations in linear models
    • DOI 10.1063/1.2221952
    • Coppola, G., and L. de Luca (2006), On transient growth oscillations in linear models, Phys. Fluids, 18, 078104, doi: 10.1063/1.2221952. (Pubitemid 44160954)
    • (2006) Physics of Fluids , vol.18 , Issue.7 , pp. 078104
    • Coppola, G.1    De Luca, L.2
  • 6
    • 0004137706 scopus 로고
    • The evolution of linearized perturbations of parallel flows
    • Criminale, W. O., and P. G. Drazin (1990), The evolution of linearized perturbations of parallel flows, Stud. Appl. Math., 83, 123-157.
    • (1990) Stud. Appl. Math. , vol.83 , pp. 123-157
    • Criminale, W.O.1    Drazin, P.G.2
  • 7
    • 31444436517 scopus 로고    scopus 로고
    • Some self-similar solutions in river morphodynamics
    • DOI 10.1029/2005WR004488, W12503
    • Daly, E., and A. Porporato (2005), Some self-similar solutions in river morphodynamics, Water Resour. Res., 41, W12503, doi:10.1029/ 2005WR004488. (Pubitemid 43151137)
    • (2005) Water Resources Research , vol.41 , Issue.12 , pp. 1-5
    • Daly, E.1    Porporato, A.2
  • 8
    • 0037869405 scopus 로고    scopus 로고
    • On a generalized approach to the linear stability of spatially nonuniform thin film flows
    • Davis, J. M., and S. M. Troian (2003), On a generalized approach to the linear stability of spatially nonuniform thin film flows, Phys. Fluids, 15, 1344-1347.
    • (2003) Phys. Fluids , vol.15 , pp. 1344-1347
    • Davis, J.M.1    Troian, S.M.2
  • 9
    • 0001069992 scopus 로고
    • Theorie du mouvement non-permanent des eaux avec application aux crues des riviers et l'introduction des marees dans leur lit
    • de Saint-Venant, A. J. C. B. (1871), Theorie du mouvement non-permanent des eaux avec application aux crues des riviers et l'introduction des marees dans leur lit, C. R. Hebd. Seances Acad. Sci., 73, 148-154.
    • (1871) C. R. Hebd. Seances Acad. Sci. , vol.73 , pp. 148-154
    • De Saint-Venant, A.J.C.B.1
  • 10
    • 0002297765 scopus 로고
    • Considerations about non-steady bed-load transport in open channels
    • Int. Assoc, of Hydraulic Eng. and Res., Saint Petersburg, Russia.
    • De Vries, M. (1965), Considerations about non-steady bed-load transport in open channels, in Proceedings of the 11th Congress of the IAHR: Leningrad, pp. 3.8.1-3.8.11, Int. Assoc, of Hydraulic Eng. and Res., Saint Petersburg, Russia.
    • (1965) Proceedings of the 11th Congress of the IAHR: Leningrad , pp. 381-3811
    • De Vries, M.1
  • 12
    • 3743154789 scopus 로고
    • Uber die Wechselwirkung zwischen wasser und geschiebe in Flussen
    • Exner, F. M. (1925), Uber die Wechselwirkung zwischen wasser und geschiebe in Flussen, Sitzunsber. Akad. Wiss. Wien, Abt. 2A, 134, 165-180.
    • (1925) Sitzunsber. Akad. Wiss. Wien, Abt. , vol.2 A , Issue.134 , pp. 165-180
    • Exner, F.M.1
  • 14
    • 0026119897 scopus 로고
    • Energy growth of three-dimensional disturbances in plane Poiseuille flow
    • Gustavsson, L. H. (1991), Energy growth of three-dimensional disturbances in plane Poiseuille flow, J. Fluid Mech., 224, 241-260.
    • (1991) J. Fluid Mech. , vol.224 , pp. 241-260
    • Gustavsson, L.H.1
  • 17
    • 0000087351 scopus 로고
    • Laws of turbulent flow in open channels
    • Keulegan, G. H. (1938), Laws of turbulent flow in open channels, J. Res. Natl. Bur. Stand. U.S., 21, 707-741.
    • (1938) J. Res. Natl. Bur. Stand. U.S. , vol.21 , pp. 707-741
    • Keulegan, G.H.1
  • 18
    • 33746601934 scopus 로고    scopus 로고
    • Long waves in erodible channels and morphodynamic influence
    • DOI 10.1029/2006WR004916
    • Lanzoni, S., A. Siviglia, A. Frascati, and G. Seminara (2006), Long waves in erodible channels and morphodynamic influence, Water Resour. Res., 42, W06D17, doi:10.1029/2006WR004916. (Pubitemid 44159930)
    • (2006) Water Resources Research , vol.42
    • Lanzoni, S.1    Siviglia, A.2    Frascati, A.3    Seminara, G.4
  • 19
    • 33746601934 scopus 로고    scopus 로고
    • Long waves in erodible channels and morphodynamic influence
    • DOI 10.1029/2006WR004916
    • Lanzoni, S., G. Seminara, and A. Siviglia (2008), Reply to comment by Cao and Hu on "Long waves in erodible channels and morphodynamic influence", Water Resour. Res., 44, W06602, doi: 10, 1029/ 2007WR006188. (Pubitemid 44159930)
    • (2006) Water Resources Research , vol.42
    • Lanzoni, S.1    Siviglia, A.2    Frascati, A.3    Seminara, G.4
  • 20
    • 59349104364 scopus 로고    scopus 로고
    • Transition in wall-bounded flows
    • 10.1115/1.2909605.
    • Lee, C. B., and J. Z. Wu (2008), Transition in wall-bounded flows, Appl. Mech. Rev., 61(3), 030802, doi:10.1115/1.2909605.
    • (2008) Appl. Mech. Rev. , vol.61 , Issue.3 , pp. 030802
    • Lee, C.B.1    Wu, J.Z.2
  • 21
    • 0000090588 scopus 로고
    • On kinematic waves. I. Flood movement in long rivers
    • Lightill, M. J., and G. B. Whitham (1955), On kinematic waves. I. Flood movement in long rivers, Proc. R. Soc. London, Ser. A, 229, 281-316.
    • (1955) Proc. R. Soc. London, Ser. A , vol.229 , pp. 281-316
    • Lightill, M.J.1    Whitham, G.B.2
  • 22
    • 0035655217 scopus 로고    scopus 로고
    • The dominance of dispersion in the evolution of bed material waves in gravel-bed rivers
    • DOI 10.1002/esp.300
    • Lisle, T., Y. Cui, G. Parker, J. Pizzuto, and A. Dodd (2001), The dominance of dispersion in the evolution of bed material waves in gravel-bed rivers, Earth Surf. Processes Landforms, 126, 1409-1420. (Pubitemid 34010688)
    • (2001) Earth Surface Processes and Landforms , vol.26 , Issue.13 , pp. 1409-1420
    • Lisle, T.E.1    Cui, Y.2    Parker, G.3    Pizzuto, J.E.4    Dodd, A.M.5
  • 23
    • 34250029366 scopus 로고    scopus 로고
    • Three-dimensional disturbances in channel flows
    • 10.1063/1.2721600.
    • Malik, S. V., and A. P. Hooper (2007), Three-dimensional disturbances in channel flows, Phys. Fluids, 19, 052102, doi: 10.1063/1.2721600.
    • (2007) Phys. Fluids , vol.19 , pp. 052102
    • Malik, S.V.1    Hooper, A.P.2
  • 24
    • 0027883330 scopus 로고
    • The asymptotic wave form for a space-limited perturbation in open channels
    • Menendez, A. N. (1993), The asymptotic wave form for a space-limited perturbation in open channels, J. Hydraul. Res., 31, 75-94.
    • (1993) J. Hydraul. Res. , vol.31 , pp. 75-94
    • Menendez, A.N.1
  • 25
    • 84946302140 scopus 로고
    • Wave attenuation in open channel flow
    • edited by N. P. Cheremisinoff, Gulf, Houston, Tex.
    • Menendez, A. N., and R. Norscini (1986), Wave attenuation in open channel flow, in Encyclopedia of Fluid Mechanics, vol. 31, edited by N. P. Cheremisinoff, pp. 75-94, Gulf, Houston, Tex.
    • (1986) Encyclopedia of Fluid Mechanics , vol.31 , pp. 75-94
    • Menendez, A.N.1    Norscini, R.2
  • 27
    • 21844502329 scopus 로고
    • Optimal disturbance growth in water table flow
    • Olsson, P. J., and D. S. Henningson (1995), Optimal disturbance growth in water table flow, Stud. Appl. Math., 94, 183-210.
    • (1995) Stud. Appl. Math. , vol.94 , pp. 183-210
    • Olsson, P.J.1    Henningson, D.S.2
  • 28
    • 0027392527 scopus 로고
    • Energy growth in viscous channel
    • Reddy, S. C., and D. S. Henningson (1993), Energy growth in viscous channel, J. Fluid Mech., 252, 209-238.
    • (1993) J. Fluid Mech. , vol.252 , pp. 209-238
    • Reddy, S.C.1    Henningson, D.S.2
  • 29
    • 0038814407 scopus 로고    scopus 로고
    • Low-dimensional modeling and numerical simulation of transition in simple shear flows
    • Rempfer, D. (2003), Low-dimensional modeling and numerical simulation of transition in simple shear flows, Annu. Rev. Fluid Mech., 35, 229-265.
    • (2003) Annu. Rev. Fluid Mech. , vol.35 , pp. 229-265
    • Rempfer, D.1
  • 30
    • 30944446474 scopus 로고    scopus 로고
    • Green's function of the linearized de Saint-Venant equations
    • DOI 10.1061/(ASCE)0733-9399(2006)132:2(125)
    • Ridolfi, L., A. Porporato, and R. Revelli (2006), Green's function of the linearized de Saint-Venant equations, J. Eng. Mech., 132(2), 125-132. (Pubitemid 43116038)
    • (2006) Journal of Engineering Mechanics , vol.132 , Issue.2 , pp. 125-132
    • Ridolfi, L.1    Porporato, A.2    Revelli, R.3
  • 31
    • 33846839377 scopus 로고    scopus 로고
    • Nonmodal stability theory
    • 10.1146/annurev.fluid.38.050304.092139.
    • Schmid, P. J. (2007), Nonmodal stability theory, Annu. Rev. Fluid Mech., 39, 129-162, doi:10.1146/annurev.fluid.38.050304.092139.
    • (2007) Annu. Rev. Fluid Mech. , vol.39 , pp. 129-162
    • Schmid, P.J.1
  • 32
    • 0003249714 scopus 로고    scopus 로고
    • Stability and Transition in Shear Flows
    • Springer, New York.
    • Schmid, P. J., and D. S. Henningson (2001), Stability and Transition in Shear Flows, Appl. Math. Sci., vol. 142, Springer, New York.
    • (2001) Appl. Math. Sci. , pp. 142
    • Schmid, P.J.1    Henningson, D.S.2
  • 33
    • 0346792972 scopus 로고    scopus 로고
    • Stability and morphodynamics
    • Seminara, G. (1998), Stability and morphodynamics, Meccanica, 33, 59-99.
    • (1998) Meccanica , vol.33 , pp. 59-99
    • Seminara, G.1
  • 35
    • 0001965097 scopus 로고
    • On a conjecture by Ie Veque and Trefethen related to the Kreiss matrix theorem
    • Spijker, M. N. (1991), On a conjecture by Ie Veque and Trefethen related to the Kreiss matrix theorem, BIT Numer. Math., 31, 551-555.
    • (1991) BIT Numer. Math. , vol.31 , pp. 551-555
    • Spijker, M.N.1
  • 39
    • 38649136225 scopus 로고    scopus 로고
    • Disturbance growth in two-fluid channel flow: The role of capillarity
    • Yecko, P. (2008), Disturbance growth in two-fluid channel flow: The role of capillarity, Int. J. Multiphase Flow, 34, 272-282.
    • (2008) Int. J. Multiphase Flow , vol.34 , pp. 272-282
    • Yecko, P.1
  • 40
    • 0025412978 scopus 로고
    • Linear hyperbolic model for alluvial channels
    • APR., 1990
    • Zhang, H., and R. Kahawita (1990), Linear hyperbolic model for alluvial channels, J. Hydraul. Eng., 116(4), 478-491. (Pubitemid 238445)
    • (1990) J. Hydraul. Eng. , vol.116 , Issue.4 , pp. 478-493
    • Zhang, H.1    Kahawita, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.