메뉴 건너뛰기




Volumn 133, Issue 2, 2007, Pages 217-228

Kinematic and diffusion waves: Analytical and numerical solutions to overland and channel flow

Author keywords

Channel flow; Floods; Kinematic wave theory; Overland flow; Wave propagation

Indexed keywords

ALGORITHMS; DIFFERENTIAL EQUATIONS; DIFFUSION; FINITE DIFFERENCE METHOD; FLOODS; HYDRAULICS; HYDROLOGY; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; WAVE PROPAGATION;

EID: 33846432719     PISSN: 07339429     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(2007)133:2(217)     Document Type: Article
Times cited : (63)

References (35)
  • 1
    • 0019676533 scopus 로고
    • "Diffusion-wave flood routing in channel networks"
    • JYCEAJ0044-796X
    • Akan, A. O., and Yen, B. C. (1981). "Diffusion-wave flood routing in channel networks." J. Hydr. Div.JYCEAJ0044-796X, 107(6), 719-732.
    • (1981) J. Hydr. Div. , vol.107 , Issue.6 , pp. 719-732
    • Akan, A.O.1    Yen, B.C.2
  • 2
    • 0028971542 scopus 로고
    • "On the Muskingum-Cunge flood routing method"
    • ENVIDV0160-4120
    • Barry, D. A., and Bajracharya, K. (1995). "On the Muskingum-Cunge flood routing method." Environ. Int.ENVIDV0160-4120, 21(5), 485-490.
    • (1995) Environ. Int. , vol.21 , Issue.5 , pp. 485-490
    • Barry, D.A.1    Bajracharya, K.2
  • 4
    • 0026609809 scopus 로고
    • "Computation of flows in open-channel transitions"
    • JHYRAF0022-1686
    • Bhallamudi, S. M., and Chaudhry, M. H. (1992). "Computation of flows in open-channel transitions." J. Hydraul. Res.JHYRAF0022-1686, 30(1), 77-93.
    • (1992) J. Hydraul. Res. , vol.30 , Issue.1 , pp. 77-93
    • Bhallamudi, S.M.1    Chaudhry, M.H.2
  • 5
    • 0003767428 scopus 로고
    • Prentice-Hall, Englewood Cliffs, N. J
    • Chaudhry, M. H. (1993). Open-channel flow, Prentice-Hall, Englewood Cliffs, N. J.
    • (1993) Open-Channel Flow
    • Chaudhry, M.H.1
  • 6
    • 0038346027 scopus 로고    scopus 로고
    • "Local time stepping for modeling open channel flows"
    • JHEND80733-942910.1061/(ASCE)0733-9429(2003)129:6(455)
    • Crossley, A. J., Wright, N. G., and Whitlow, C. D. (2003). "Local time stepping for modeling open channel flows." J. Hydraul. Eng.JHEND80733-942910.1061/(ASCE)0733-9429(2003)129:6(455), 129(6), 455-462.
    • (2003) J. Hydraul. Eng. , vol.129 , Issue.6 , pp. 455-462
    • Crossley, A.J.1    Wright, N.G.2    Whitlow, C.D.3
  • 7
    • 84945642413 scopus 로고
    • "On the subject of a flood propagation method (Muskinghum Method)"
    • JHYRAF0022-1686
    • Cunge, J. A. (1969). "On the subject of a flood propagation method (Muskinghum Method)." J. Hydraul. Res.JHYRAF0022-1686, 7(2), 205-230.
    • (1969) J. Hydraul. Res. , vol.7 , Issue.2 , pp. 205-230
    • Cunge, J.A.1
  • 8
    • 1842764918 scopus 로고    scopus 로고
    • "Nonlinear control of open-channel water flow based on collocation control model"
    • JHEND80733-942910.1061/(ASCE)0733-9429(2004)130:3(254)
    • Dulhoste, J. F., Georges, D., and Besancon, G. (2004). "Nonlinear control of open-channel water flow based on collocation control model." J. Hydraul. Eng.JHEND80733-942910.1061/ (ASCE)0733-9429(2004)130:3(254), 130(3), 254-266.
    • (2004) J. Hydraul. Eng. , vol.130 , Issue.3 , pp. 254-266
    • Dulhoste, J.F.1    Georges, D.2    Besancon, G.3
  • 10
    • 0025473498 scopus 로고
    • "Explicit methods for 2-d transient free surface flows"
    • JHEND80733-9429
    • Fennema, R. J., and Chaudhry, M. H. (1990). "Explicit methods for 2-d transient free surface flows." J. Hydraul. Eng.JHEND80733-9429, 116(8), 1013-1034.
    • (1990) J. Hydraul. Eng. , vol.116 , Issue.8 , pp. 1013-1034
    • Fennema, R.J.1    Chaudhry, M.H.2
  • 11
    • 0022925207 scopus 로고
    • "Numerical-solution of the St-Venant equations with the MacCormack finite-difference scheme"
    • IJNFDW0271-209110.1002/fld.1650060502
    • Garcia, R., and Kahawita, R. A. (1986). "Numerical-solution of the St-Venant equations with the MacCormack finite-difference scheme." Int. J. Numer. Methods FluidsIJNFDW0271-209110.1002/fld.1650060502, 6(5), 259-274.
    • (1986) Int. J. Numer. Methods Fluids , vol.6 , Issue.5 , pp. 259-274
    • Garcia, R.1    Kahawita, R.A.2
  • 12
    • 0002811419 scopus 로고
    • "On the propagation of flood waves"
    • Disaster Prevention Research Institute, Kyoto Univ., Kyoto
    • Hayami, S. (1951). "On the propagation of flood waves." Bulletin No. 1., Disaster Prevention Research Institute, Kyoto Univ., Kyoto, 1-6.Hayami, S. (1951). "On the propagation of flood waves." Bulletin No. 1., Disaster Prevention Research Institute, Kyoto Univ., Kyoto, 1-6.
    • (1951) Bulletin No. 1. , pp. 1-6
    • Hayami, S.1
  • 14
    • 0003633325 scopus 로고
    • version 4, user's manual, Environmental Research Laboratory, Office of Research and Development, U.S. Environmental Protection Agency, Athens, Ga
    • Huber, W. C., and Dickinson, R. E. (1988). Storm water management model, version 4, user's manual, Environmental Research Laboratory, Office of Research and Development, U.S. Environmental Protection Agency, Athens, Ga.
    • (1988) Storm Water Management Model
    • Huber, W.C.1    Dickinson, R.E.2
  • 15
    • 24644497321 scopus 로고    scopus 로고
    • "GIS-based distributed model for soil erosion and rate of sediment outflow from catchments"
    • JHEND80733-942910.1061/(ASCE)0733-9429(2005)131:9(755)
    • Jain, M. K., Kothyari, U. C., and Raju, K. G. R. (2005). "GIS-based distributed model for soil erosion and rate of sediment outflow from catchments." J. Hydraul. Eng.JHEND80733-942910.1061/ (ASCE)0733-9429(2005)131:9(755), 131(9), 755-769.
    • (2005) J. Hydraul. Eng. , vol.131 , Issue.9 , pp. 755-769
    • Jain, M.K.1    Kothyari, U.C.2    Raju, K.G.R.3
  • 16
  • 17
    • 20444454557 scopus 로고    scopus 로고
    • "Role of artificial dissipation scaling and multigrid acceleration in numerical solutions of the depth-averaged free-surface flow equations"
    • JHEND80733-942910.1061/(ASCE)0733-9429(2005)131:6(476)
    • Lackey, T. C., and Sotiropoulos, F. (2005). "Role of artificial dissipation scaling and multigrid acceleration in numerical solutions of the depth-averaged free-surface flow equations." J. Hydraul. Eng.JHEND80733-942910.1061/(ASCE)0733-9429(2005)131:6(476), 131(6), 476-487.
    • (2005) J. Hydraul. Eng. , vol.131 , Issue.6 , pp. 476-487
    • Lackey, T.C.1    Sotiropoulos, F.2
  • 18
    • 0032052441 scopus 로고    scopus 로고
    • "Performance comparison of overland flow algorithms"
    • JHEND80733-942910.1061/(ASCE)0733-9429(1998)124:4(342)
    • Lal, A. M. W. (1998a). "Performance comparison of overland flow algorithms." J. Hydraul. Eng.JHEND80733-942910.1061/ (ASCE)0733-9429(1998)124:4(342), 124(4), 342-349.
    • (1998) J. Hydraul. Eng. , vol.124 , Issue.4 , pp. 342-349
    • Lal, A.M.W.1
  • 19
    • 0032170784 scopus 로고    scopus 로고
    • "Weighted implicit finite-volume model for overland flow"
    • JHEND80733-942910.1061/(ASCE)0733-9429(1998)124:9(941)
    • Lal, A. M. W. (1998b). "Weighted implicit finite-volume model for overland flow." J. Hydraul. Eng.JHEND80733-942910.1061/ (ASCE)0733-9429(1998)124:9(941), 124(9), 941-950.
    • (1998) J. Hydraul. Eng. , vol.124 , Issue.9 , pp. 941-950
    • Lal, A.M.W.1
  • 20
    • 0000090588 scopus 로고
    • "On kinematic waves. I: Flood movement in long rivers"
    • APRLAAZ1364-5021
    • Lighthill, M. J., and Whitham, G. B. (1955). "On kinematic waves. I: Flood movement in long rivers." Proc. R. Soc. London, Ser. APRLAAZ1364-5021, 229, 281-316.
    • (1955) Proc. R. Soc. London, Ser. , vol.229 , pp. 281-316
    • Lighthill, M.J.1    Whitham, G.B.2
  • 21
    • 4143094769 scopus 로고    scopus 로고
    • "Frequency modeling of open-channel flow"
    • JHEND80733-942910.1061/(ASCE)0733-9429(2004)130:8(806)
    • Litrico, X., and Fromion, V. (2004). "Frequency modeling of open-channel flow." J. Hydraul. Eng.JHEND80733-942910.1061/ (ASCE)0733-9429(2004)130:8(806), 130(8), 806-815.
    • (2004) J. Hydraul. Eng. , vol.130 , Issue.8 , pp. 806-815
    • Litrico, X.1    Fromion, V.2
  • 22
    • 0000311136 scopus 로고
    • "Numerical solution of the interaction of a shock wave with a laminar boundary layer"
    • Lecture notes in physics Springer, Berlin
    • MacCormack, R. W. (1971). "Numerical solution of the interaction of a shock wave with a laminar boundary layer." Lecture notes in physics, Vol. 8, Springer, Berlin, 151-163.
    • (1971) , vol.8 , pp. 151-163
    • MacCormack, R.W.1
  • 23
    • 33846440570 scopus 로고
    • "Stormwater management and modeling at Duke University"
    • MS thesis, Duke Univ., Durham, N.C
    • Mahi, H. (1994). "Stormwater management and modeling at Duke University," MS thesis, Duke Univ., Durham, N.C.
    • (1994)
    • Mahi, H.1
  • 24
    • 4444315169 scopus 로고    scopus 로고
    • "One-dimensional hydrodynamic/sediment transport model applicable to steep mountain streams"
    • JHYRAF0022-1686
    • Papanicolaou, A. N., Bdour, A., and Wicklein, E. (2004). "One-dimensional hydrodynamic/sediment transport model applicable to steep mountain streams." J. Hydraul. Res.JHYRAF0022-1686, 42(4), 357-375.
    • (2004) J. Hydraul. Res. , vol.42 , Issue.4 , pp. 357-375
    • Papanicolaou, A.N.1    Bdour, A.2    Wicklein, E.3
  • 26
    • 0030647031 scopus 로고    scopus 로고
    • "Computation of flow in open-channel transitions"
    • JHYRAF0022-1686
    • Rahman, M., and Chaudhry, M. H. (1997). "Computation of flow in open-channel transitions." J. Hydraul. Res.JHYRAF0022-1686, 35(2), 243-256.
    • (1997) J. Hydraul. Res. , vol.35 , Issue.2 , pp. 243-256
    • Rahman, M.1    Chaudhry, M.H.2
  • 27
    • 0037408927 scopus 로고    scopus 로고
    • "Evaluation of V and W multiple grid cycles for modeling one and two-dimensional transient free surface flows"
    • AMHCBQ0096-3003
    • Rao, P., and Medina, M. A. (2003). "Evaluation of V and W multiple grid cycles for modeling one and two-dimensional transient free surface flows." Appl. Math. Comput.AMHCBQ0096-3003, 138(1), 151-167.
    • (2003) Appl. Math. Comput. , vol.138 , Issue.1 , pp. 151-167
    • Rao, P.1    Medina, M.A.2
  • 29
    • 0001069992 scopus 로고
    • "Theory of unsteady water flow, with application to river floods and to propagation of tides in river channels"
    • 148-154
    • Saint-Venant, B. D. (1871). "Theory of unsteady water flow, with application to river floods and to propagation of tides in river channels." French Academy of Science, 73, 148-154, 237-240.
    • (1871) French Academy of Science , vol.73 , pp. 237-240
    • Saint-Venant, B.D.1
  • 30
    • 0031278088 scopus 로고    scopus 로고
    • "Flood routing based on diffusion wave equation using mixing cell method"
    • HYPRE30885-608710.1002/ (SICI)1099-1085(199711)11:14<1881::AID-HYP536>3.0.CO;2-K
    • Singh, V. P., Wang, G. T., and Adrian, D. D. (1997). "Flood routing based on diffusion wave equation using mixing cell method." Hydrolog. Process.HYPRE30885-608710.1002/ (SICI)1099-1085(199711)11:14<1881::AID-HYP536>3.0.CO;2-K, 11 (14), 1881-1894
    • (1997) Hydrolog. Process , vol.11 , Issue.14 , pp. 1881-1894
    • Singh, V.P.1    Wang, G.T.2    Adrian, D.D.3
  • 32
    • 0032052899 scopus 로고    scopus 로고
    • "Streamline upwind finite-element method for overland flow"
    • JHEND80733-942910.1061/(ASCE)0733-9429(1998)124:4(350)
    • Tisdale, T. S., Scarlatos, P. D., and Hamrick, J. M. (1998). "Streamline upwind finite-element method for overland flow." J. Hydraul. Eng.JHEND80733-942910.1061/(ASCE)0733-9429(1998)124:4(350), 124(4), 350-357.
    • (1998) J. Hydraul. Eng. , vol.124 , Issue.4 , pp. 350-357
    • Tisdale, T.S.1    Scarlatos, P.D.2    Hamrick, J.M.3
  • 33
    • 0041821604 scopus 로고    scopus 로고
    • "Applicability of kinematic, noninertia and quasi-steady dynamic wave models to unsteady flow routing"
    • JHEND80733-942910.1061/(ASCE)0733-9429(2003)129:8(613)
    • Tsai, C. W. (2003). "Applicability of kinematic, noninertia and quasi-steady dynamic wave models to unsteady flow routing." J. Hydraul. Eng.JHEND80733-942910.1061/(ASCE)0733-9429(2003)129:8(613), 129(8), 613-627.
    • (2003) J. Hydraul. Eng. , vol.129 , Issue.8 , pp. 613-627
    • Tsai, C.W.1
  • 34
    • 0021057847 scopus 로고
    • "Conditions governing the use of approximations for the St. Venant equations for shallow surface-water flow"
    • JHYDA70022-169410.1016/0022-1694(83)90013-6
    • Vieira, J. H. D. (1983). "Conditions governing the use of approximations for the St. Venant equations for shallow surface-water flow." J. Hydrol.JHYDA70022-169410.1016/0022-1694(83)90013-6, 60(1-4), 43-58.
    • (1983) J. Hydrol. , vol.60 , Issue.1-4 , pp. 43-58
    • Vieira, J.H.D.1
  • 35
    • 8744229099 scopus 로고    scopus 로고
    • "Upwind conservative scheme for the Saint Venant equations"
    • JHEND80733-942910.1061/(ASCE)0733-9429(2004)130:10(977)
    • Ying, X., Khan, A. A., and Wang, S. S. Y. (2004). "Upwind conservative scheme for the Saint Venant equations." J. Hydraul. Eng.JHEND80733-942910.1061/(ASCE)0733-9429(2004)130:10(977), 130(10), 977-987.
    • (2004) J. Hydraul. Eng. , vol.130 , Issue.10 , pp. 977-987
    • Ying, X.1    Khan, A.A.2    Wang, S.S.Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.