메뉴 건너뛰기




Volumn 11, Issue 6, 2006, Pages 539-546

Analytical solutions of nonlinear kinematic wave model

Author keywords

Analytical methods; Floods; Kinematic wave theory; Overland flow; Rainfall

Indexed keywords

APPROXIMATION THEORY; FLOODS; FOURIER TRANSFORMS; KINEMATICS; MATHEMATICAL MODELS; RAIN; RUNOFF;

EID: 33750131438     PISSN: 10840699     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)1084-0699(2006)11:6(539)     Document Type: Article
Times cited : (13)

References (32)
  • 1
    • 0020330876 scopus 로고
    • "On subsurface stormflow: Prediction with simple kinematic theory for saturated and unsaturated flows"
    • WRERAQ0043-1397
    • Beven, K. (1982). "On subsurface stormflow: Prediction with simple kinematic theory for saturated and unsaturated flows." Water Resour. Res.WRERAQ0043-1397, 18(6), 1627-1633.
    • (1982) Water Resour. Res. , vol.18 , Issue.6 , pp. 1627-1633
    • Beven, K.1
  • 2
    • 0141692561 scopus 로고    scopus 로고
    • "A dynamic watershed simulation model"
    • V. P. Singh and D. K. Frevert, eds., Chap. 5, Water Resources Publications, LLC, Highland Ranch, Colo
    • Borah, D. K., Xia, R., and Bera, M. (2002). "A dynamic watershed simulation model." Mathematical models of small watershed hydrology and applications, V. P. Singh and D. K. Frevert, eds., Chap. 5, Water Resources Publications, LLC, Highland Ranch, Colo., 113-166.
    • (2002) Mathematical Models of Small Watershed Hydrology and Applications , pp. 113-166
    • Borah, D.K.1    Xia, R.2    Bera, M.3
  • 3
    • 0026142424 scopus 로고
    • "Flood-frequency derivation from kinematic wave"
    • JHEND80733-9429
    • Cadavid, L., Obeysekera, J. T. B., and Shen, H. W. (1991). "Flood-frequency derivation from kinematic wave." J. Hydraul. Eng.JHEND80733-9429, 117(4), 489-510.
    • (1991) J. Hydraul. Eng. , vol.117 , Issue.4 , pp. 489-510
    • Cadavid, L.1    Obeysekera, J.T.B.2    Shen, H.W.3
  • 4
    • 0022165780 scopus 로고
    • "Solution to the kinematic wave approach to overland flow routing with rainfall excess given by Philip's equation"
    • WRERAQ0043-1397
    • Cundy, T. W., and Tento, S. W. (1985). "Solution to the kinematic wave approach to overland flow routing with rainfall excess given by Philip's equation." Water Resour. Res.WRERAQ0043-1397, 21(8), 1132-1141.
    • (1985) Water Resour. Res. , vol.21 , Issue.8 , pp. 1132-1141
    • Cundy, T.W.1    Tento, S.W.2
  • 5
    • 0003961732 scopus 로고
    • McGraw-Hill, New York
    • Eagleson, P. (1970). Dynamic hydrology, McGraw-Hill, New York, 337-344.
    • (1970) Dynamic Hydrology , pp. 337-344
    • Eagleson, P.1
  • 6
    • 0023367502 scopus 로고
    • "Upstream calculation of characteristics for kinematic wave routing"
    • JHEND80733-9429
    • Eggert, K. G. (1987). "Upstream calculation of characteristics for kinematic wave routing." J. Hydraul. Eng.JHEND80733-9429, 113(6), 743-752.
    • (1987) J. Hydraul. Eng. , vol.113 , Issue.6 , pp. 743-752
    • Eggert, K.G.1
  • 7
    • 0035336751 scopus 로고    scopus 로고
    • "Integrated physically based rainfall-runoff model using FEM"
    • JHYEFF1084-069910.1061/(ASCE)1084-0699(2001)6:3(179)
    • Garg, N. K., and Sen, D. J. (2001). "Integrated physically based rainfall-runoff model using FEM." J. Hydrol. Eng.JHYEFF1084-069910.1061/(ASCE)1084-0699(2001)6:3(179), 6(3), 179-188.
    • (2001) J. Hydrol. Eng. , vol.6 , Issue.3 , pp. 179-188
    • Garg, N.K.1    Sen, D.J.2
  • 8
    • 0023702357 scopus 로고
    • "On the diffusion model for over-land flow. I: Solution for steep slope"
    • WRERAQ0043-1397
    • Govindaraju, R. S., Jones, S. E., and Kavvas, M. L. (1988). "On the diffusion model for over-land flow. I: Solution for steep slope." Water Resour. Res.WRERAQ0043-1397, 24(5), 734-744.
    • (1988) Water Resour. Res. , vol.24 , Issue.5 , pp. 734-744
    • Govindaraju, R.S.1    Jones, S.E.2    Kavvas, M.L.3
  • 9
    • 33750141970 scopus 로고
    • "Experiments of overland flow on steep rough surfaces and estimation of resistance formula"
    • JSCE, Tokyo, (in Japanese)
    • Hatano, M., and Inokuma, H. (1979). "Experiments of overland flow on steep rough surfaces and estimation of resistance formula." Proc., 23rd Japanese Conf. on Hydraulics, Vol. 23, JSCE, Tokyo, 331-338 (in Japanese).
    • (1979) Proc., 23rd Japanese Conf. on Hydraulics , vol.23 , pp. 331-338
    • Hatano, M.1    Inokuma, H.2
  • 10
    • 0001174623 scopus 로고
    • "Overland flow and groundwater flow from a steady rainfall of finite duration"
    • JGREA20148-0227
    • Henderson, F. M., and Wooding, R. A. (1964). "Overland flow and groundwater flow from a steady rainfall of finite duration." J. Geophys. Res.JGREA20148-0227, 69(8), 1531-1540.
    • (1964) J. Geophys. Res. , vol.69 , Issue.8 , pp. 1531-1540
    • Henderson, F.M.1    Wooding, R.A.2
  • 11
    • 0019678091 scopus 로고
    • "Overland flow from time-distributed rainfall"
    • JYCEAJ0044-796X
    • Hjelmfelt, A. T. (1981). "Overland flow from time-distributed rainfall." J. Hydr. Div.JYCEAJ0044-796X, 107(2), 227-238.
    • (1981) J. Hydr. Div. , vol.107 , Issue.2 , pp. 227-238
    • Hjelmfelt, A.T.1
  • 12
    • 0000074470 scopus 로고
    • "Hydraulics of runoff from developed surfaces"
    • New York
    • Izzard, C. (1946). "Hydraulics of runoff from developed surfaces." Proc., Highway Research Board, Vol. 26, New York, 129-150.
    • (1946) Proc., Highway Research Board , vol.26 , pp. 129-150
    • Izzard, C.1
  • 13
    • 0037340744 scopus 로고    scopus 로고
    • "Nonlinear hydrologic processes: Conservation equations for determining their means and probability distributions"
    • JHYEFF1084-069910.1061/(ASCE)1084-0699(2003)8:2(44)
    • Kavvas, M. L. (2003). "Nonlinear hydrologic processes: Conservation equations for determining their means and probability distributions." J. Hydrol. Eng.JHYEFF1084-069910.1061/ (ASCE)1084-0699(2003)8:2(44), 8(2), 44-53.
    • (2003) J. Hydrol. Eng. , vol.8 , Issue.2 , pp. 44-53
    • Kavvas, M.L.1
  • 14
    • 33750109800 scopus 로고
    • "On the experiment of surface runoff from experimental slope"
    • Tsukuba, Japan, (in Japanese)
    • Kishii, T. (1981). "On the experiment of surface runoff from experimental slope." Rep. of National Research Center for Disaster Prevention, No. 25, Tsukuba, Japan, 19-27 (in Japanese).
    • (1981) Rep. of National Research Center for Disaster Prevention , Issue.25 , pp. 19-27
    • Kishii, T.1
  • 15
    • 0002713309 scopus 로고
    • "Numerical methods of solution of the unsteady flow equations"
    • K. Mahmood and V. Yevjevich, eds., Water Resources Publications, Fort Collins, Colo
    • Liggett, J. A., and Cunge, J. A. (1975). "Numerical methods of solution of the unsteady flow equations." Unsteady flow in open channels, K. Mahmood and V. Yevjevich, eds., Water Resources Publications, Fort Collins, Colo., 126-128.
    • (1975) Unsteady Flow in Open Channels , pp. 126-128
    • Liggett, J.A.1    Cunge, J.A.2
  • 16
    • 0000090588 scopus 로고
    • "On kinematic waves. I: Flood movement in long rivers"
    • PRLAAZ1364-5021
    • 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. A , vol.229 , pp. 281-316
    • Lighthill, M.J.1    Whitham, G.B.2
  • 17
    • 33750118104 scopus 로고
    • "Nonlinear analysis of rainfall and runoff process"
    • B. C. Yen, ed., Charlottesville, Va
    • Mizumura, K. (1989). "Nonlinear analysis of rainfall and runoff process." Proc., Int. Conf. Channel Flow and Catchment Runoff, B. C. Yen, ed., Charlottesville, Va., 196-205.
    • (1989) Proc., Int. Conf. Channel Flow and Catchment Runoff , pp. 196-205
    • Mizumura, K.1
  • 18
    • 33750127390 scopus 로고
    • "Nonlinear analysis of rainfall and runoff process"
    • B. C. Yen, ed., Water Resources Publications, Fort Collins, Colo
    • Mizumura, K. (1992). "Nonlinear analysis of rainfall and runoff process." Catchment runoff and rational formula, B. C. Yen, ed., Water Resources Publications, Fort Collins, Colo., 128-144.
    • (1992) Catchment Runoff and Rational Formula , pp. 128-144
    • Mizumura, K.1
  • 19
    • 0036930729 scopus 로고    scopus 로고
    • "Accuracy of kinematic wave and diffusion wave for spatial-varying rainfall excess over a plane"
    • HYPRE30885-608710.1002/hyp.1108
    • Moramarco, T., and Singh, V. P. (2002). "Accuracy of kinematic wave and diffusion wave for spatial-varying rainfall excess over a plane." Hydrolog. Process.HYPRE30885-608710.1002/hyp.1108, 16, 3419-3435.
    • (2002) Hydrolog. Process. , vol.16 , pp. 3419-3435
    • Moramarco, T.1    Singh, V.P.2
  • 20
    • 0016049831 scopus 로고
    • "Laboratory experiments with surface runoff"
    • JYCEAJ0044-796X
    • Muzik, I. (1974). "Laboratory experiments with surface runoff." J. Hydr. Div.JYCEAJ0044-796X, 100(4), 501-515.
    • (1974) J. Hydr. Div. , vol.100 , Issue.4 , pp. 501-515
    • Muzik, I.1
  • 21
    • 0032724866 scopus 로고    scopus 로고
    • "Nonlinear kinematic-wave model for predicting open-channel flow rate"
    • JHEND80733-942910.1061/(ASCE)0733-9429(1999)125:8(886)
    • Odai, S. N. (1999). "Nonlinear kinematic-wave model for predicting open-channel flow rate." J. Hydraul. Eng.JHEND80733-942910.1061/ (ASCE)0733-9429(1999)125:8(886), 125(8), 886-889.
    • (1999) J. Hydraul. Eng. , vol.125 , Issue.8 , pp. 886-889
    • Odai, S.N.1
  • 22
    • 0032072616 scopus 로고    scopus 로고
    • "Burgers' equation model for unsteady flow in open channels"
    • JHEND80733-942910.1061/(ASCE)0733-9429(1998)124:5(509)
    • Onizuka, K., and Odai, S. N. (1998). "Burgers' equation model for unsteady flow in open channels." J. Hydraul. Eng.JHEND80733-942910.1061/(ASCE)0733-9429(1998)124:5(509), 124(5), 509-512.
    • (1998) J. Hydraul. Eng. , vol.124 , Issue.5 , pp. 509-512
    • Onizuka, K.1    Odai, S.N.2
  • 23
    • 0019676453 scopus 로고
    • "Kinematic flow approximation of runoff on a plane: An exact analytical solution"
    • JHYDA70022-169410.1016/0022-1694(81)90104-9
    • Parlange, J. Y., Rose, C. W., and Sanda, G. (1981). "Kinematic flow approximation of runoff on a plane: An exact analytical solution." J. Hydrol.JHYDA70022-169410.1016/0022-1694(81)90104-9, 52, 171-176.
    • (1981) Hydrol. , vol.52 , pp. 171-176
    • Parlange, J.Y.1    Rose, C.W.2    Sanda, G.3
  • 24
    • 0026135811 scopus 로고
    • "Kinematic wave controversy"
    • JHEND80733-9429
    • Ponce, V. M. (1991). "Kinematic wave controversy." J. Hydraul. Eng.JHEND80733-9429, 117(4), 511-525.
    • (1991) J. Hydraul. Eng. , vol.117 , Issue.4 , pp. 511-525
    • Ponce, V.M.1
  • 25
    • 0017442197 scopus 로고
    • "Shallow wave propagation in open channel flow"
    • JYCEAJ0044-796X
    • Ponce, V. M., and Simons, D. B. (1977). "Shallow wave propagation in open channel flow." J. Hydr. Div.JYCEAJ0044-796X, 103(12), 1461-1476.
    • (1977) J. Hydr. Div. , vol.103 , Issue.12 , pp. 1461-1476
    • Ponce, V.M.1    Simons, D.B.2
  • 26
    • 0000495458 scopus 로고
    • "A nonlinear hydrologic system response model"
    • JYCEAJ0044-796X
    • Prasad, R. (1967). "A nonlinear hydrologic system response model." J. Hydr. Div.JYCEAJ0044-796X, 93(4), 201-221.
    • (1967) J. Hydr. Div. , vol.93 , Issue.4 , pp. 201-221
    • Prasad, R.1
  • 28
    • 0001809504 scopus 로고
    • "KINEROS - A kinematic runoff and erosion model"
    • V. P. Singh, ed., Chap. 20, Water Resources Publications, Highland Ranch, Colo
    • Smith, R. E., Goodrich, D. C., Woolheiser, D. A., and Unkrich, C. L. (1995). "KINEROS - A kinematic runoff and erosion model." Computer models of watershed hydrology, V. P. Singh, ed., Chap. 20, Water Resources Publications, Highland Ranch, Colo., 697-732.
    • (1995) Computer Models of Watershed Hydrology , pp. 697-732
    • Smith, R.E.1    Goodrich, D.C.2    Woolheiser, D.A.3    Unkrich, C.L.4
  • 29
    • 0001438759 scopus 로고
    • "Overland flow on an infiltrating surface"
    • WRERAQ0043-1397
    • Smith, R. E., and Woolheiser, D. A. (1971). "Overland flow on an infiltrating surface." Water Resour. Res.WRERAQ0043-1397, 7(4), 899-913.
    • (1971) Water Resour. Res. , vol.7 , Issue.4 , pp. 899-913
    • Smith, R.E.1    Woolheiser, D.A.2
  • 30
    • 0028667117 scopus 로고
    • "Spatially averaged conservation equations for interacting rill-interrill area overland flows"
    • JHEND80733-9429
    • Tayfur, G., and Kavvas, M. L. (1994). "Spatially averaged conservation equations for interacting rill-interrill area overland flows." J. Hydraul. Eng.JHEND80733-9429, 120(12), 1426-1448.
    • (1994) J. Hydraul. Eng. , vol.120 , Issue.12 , pp. 1426-1448
    • Tayfur, G.1    Kavvas, M.L.2
  • 31
    • 0030089369 scopus 로고    scopus 로고
    • "Search for physically based runoff model-A hydrologic El Dorado"
    • JHEND80733-942910.1061/(ASCE)0733-9429(1996)122:3(122)
    • Woolhiser, D. A. (1996). "Search for physically based runoff model-A hydrologic El Dorado." J. Hydraul. Eng.JHEND80733-942910.1061/(ASCE)0733-9429(1996)122:3(122), 122(3), 122-129.
    • (1996) J. Hydraul. Eng. , vol.122 , Issue.3
    • Woolhiser, D.A.1
  • 32
    • 33750117842 scopus 로고
    • "The hydraulic study on the flow in porous media (IV)"
    • Dept. of Civil Engineering, Tokyo Inst. of Technology, Tokyo, (in Japanese)
    • Yamada, T., and Kikkawa, H. (1979). "The hydraulic study on the flow in porous media (IV)." Technical Rep., No. 25, Dept. of Civil Engineering, Tokyo Inst. of Technology, Tokyo, 55-66 (in Japanese).
    • (1979) Technical Rep. , Issue.25 , pp. 55-66
    • Yamada, T.1    Kikkawa, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.