메뉴 건너뛰기




Volumn 18, Issue 8, 2006, Pages

A complementary mild-slope equation derived using higher-order depth function for waves obliquely propagating on sloping bottom

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; REFLECTION; REFRACTION; VELOCITY MEASUREMENT; WAVEFORM ANALYSIS;

EID: 33748266274     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2337734     Document Type: Article
Times cited : (23)

References (41)
  • 1
    • 0015280822 scopus 로고
    • "Computation of combined refraction-diffraction"
    • Canada, ASCE
    • J. C. W. Berkhoff, "Computation of combined refraction-diffraction," Proc. 13th Int. Conf. Coast. Eng., Canada, ASCE, 471 (1972).
    • (1972) Proc. 13th Int. Conf. Coast. Eng. , pp. 471
    • Berkhoff, J.C.W.1
  • 2
    • 0016573058 scopus 로고
    • "Scattering of surface waves by a conical island"
    • JFLSA70022-112010.1017/S0022112075003424
    • R. Smith and T. Sprinks, "Scattering of surface waves by a conical island," J. Fluid Mech. JFLSA70022-112010.1017/S0022112075003424 72, 373 (1975).
    • (1975) J. Fluid Mech. , vol.72 , pp. 373
    • Smith, R.1    Sprinks, T.2
  • 3
    • 0023027533 scopus 로고
    • "Numerical modeling of nearshore wave field under combined refraction, diffraction and breaking"
    • CENJA80578-5634
    • A. Watanabe and K. Maruyama, "Numerical modeling of nearshore wave field under combined refraction, diffraction and breaking," Coast. Eng. Japan CENJA80578-5634 29, 19 (1986).
    • (1986) Coast. Eng. Japan , vol.29 , pp. 19
    • Watanabe, A.1    Maruyama, K.2
  • 4
    • 0022062591 scopus 로고
    • "A practical alternative to the mild-slope wave equation"
    • COENDE0378-3839
    • G. J. M. Copeland, "A practical alternative to the mild-slope wave equation," Coastal Eng. COENDE0378-3839 9, 125 (1985).
    • (1985) Coastal Eng. , vol.9 , pp. 125
    • Copeland, G.J.M.1
  • 5
    • 0023454093 scopus 로고
    • "An efficient finite-difference approach to the mild-slope equation"
    • COENDE0378-3839
    • P. A. Madsen and J. Larsen, "An efficient finite-difference approach to the mild-slope equation," Coastal Eng. COENDE0378-3839 11, 329 (1987).
    • (1987) Coastal Eng. , vol.11 , pp. 329
    • Madsen, P.A.1    Larsen, J.2
  • 6
    • 0002426911 scopus 로고
    • "A parabolic equation model for transformation of irregular waves due to refraction, diffraction and breaking"
    • CENJA80578-5634
    • M. Isobe, "A parabolic equation model for transformation of irregular waves due to refraction, diffraction and breaking," Coast. Eng. Japan CENJA80578-5634 30, 33 (1987).
    • (1987) Coast. Eng. Japan , vol.30 , pp. 33
    • Isobe, M.1
  • 7
    • 0028668475 scopus 로고
    • "An evolution equation for water waves"
    • COENDE0378-383910.1016/0378-3839(94)90003-5
    • B. Li, "An evolution equation for water waves," Coastal Eng. COENDE0378-383910.1016/0378-3839(94)90003-5 23, 227 (1994).
    • (1994) Coastal Eng. , vol.23 , pp. 227
    • Li, B.1
  • 8
    • 0034227410 scopus 로고    scopus 로고
    • "A study of using parabolic model to describe wave breaking and wide-angle wave incidence"
    • T. W. Hsu and C. C. Wen, "A study of using parabolic model to describe wave breaking and wide-angle wave incidence," J. Chin. Inst. Eng. 23(4), 515 (2000).
    • (2000) J. Chin. Inst. Eng. , vol.23 , Issue.4 , pp. 515
    • Hsu, T.W.1    Wen, C.C.2
  • 9
    • 0003912177 scopus 로고
    • REF/DIF 1, Ver 2.3, Center for Applied Coastal Research, Department of Civil Engineering, University of Delaware, Newark, De 19716
    • J. T. Kirby and R. A. Dalrymple, User's manual, combined refraction / diffraction model, REF/DIF 1, Ver 2.3, Center for Applied Coastal Research, Department of Civil Engineering, University of Delaware, Newark, De 19716 (1991).
    • (1991) User's Manual, Combined Refraction / Diffraction Model
    • Kirby, J.T.1    Dalrymple, R.A.2
  • 10
    • 0030783838 scopus 로고    scopus 로고
    • "Parabolic model for water waves"
    • JWPED50733-950X10.1061/(ASCE)0733-950X(1997)123:4(192)
    • B. Li, "Parabolic model for water waves," J. Waterway, Port, Coastal, Ocean Eng. JWPED50733-950X10.1061/ (ASCE)0733-950X(1997)123:4(192) 123(4), 192 (1997).
    • (1997) J. Waterway, Port, Coastal, Ocean Eng. , vol.123 , Issue.4 , pp. 192
    • Li, B.1
  • 11
    • 0042100619 scopus 로고
    • Regional coastal processes numerical modeling system
    • Department of the Army, Waterway Experiment Station, Corps of Engineers, USA
    • B. A. Ebersole, M. A. Cialone, and M. D. Prater, Regional coastal processes numerical modeling system, Department of the Army, Waterway Experiment Station, Corps of Engineers, USA (1986).
    • (1986)
    • Ebersole, B.A.1    Cialone, M.A.2    Prater, M.D.3
  • 14
    • 0028976666 scopus 로고
    • "The modified mild-slope equation"
    • JFLSA70022-1120
    • P. G. Chamberlain and D. Porter, "The modified mild-slope equation," J. Fluid Mech. JFLSA70022-1120 291, 393 (1995).
    • (1995) J. Fluid Mech. , vol.291 , pp. 393
    • Chamberlain, P.G.1    Porter, D.2
  • 15
    • 0031410618 scopus 로고    scopus 로고
    • "Extended linear refraction-diffraction model"
    • JWPED50733-950X10.1061/(ASCE)0733-950X(1997)123:5(280)
    • C. N. Chandrasekera and K. F. Cheung, "Extended linear refraction-diffraction model," J. Waterway, Port, Coastal, Ocean Eng. JWPED50733-950X10.1061/(ASCE)0733-950X(1997)123:5(280) 123, 280 (1997).
    • (1997) J. Waterway, Port, Coastal, Ocean Eng. , vol.123 , pp. 280
    • Chandrasekera, C.N.1    Cheung, K.F.2
  • 16
    • 0031279878 scopus 로고    scopus 로고
    • "Time-dependent equations for wave propagation on rapidly varying topography"
    • COENDE0378-3839
    • K. D. Suh, C. Lee, and W. S. Part, "Time-dependent equations for wave propagation on rapidly varying topography," Coastal Eng. COENDE0378-3839 32, 91 (1997).
    • (1997) Coastal Eng. , vol.32 , pp. 91
    • Suh, K.D.1    Lee, C.2    Part, W.S.3
  • 17
    • 0345451575 scopus 로고    scopus 로고
    • "Hyperbolic mild-slope equations extended to account for rapidly varying topography"
    • COENDE0378-3839
    • C. Lee, W. S. Park, Y. S. Cho, and K. D. Suh, "Hyperbolic mild-slope equations extended to account for rapidly varying topography," Coastal Eng. COENDE0378-3839 34, 243 (1997).
    • (1997) Coastal Eng. , vol.34 , pp. 243
    • Lee, C.1    Park, W.S.2    Cho, Y.S.3    Suh, K.D.4
  • 18
    • 0002462006 scopus 로고
    • "The propagation of gravity waves from deep to shallow water, U. S. National Bureau of Standards"
    • C. Eckart, "The propagation of gravity waves from deep to shallow water, U. S. National Bureau of Standards," Gravity Waves, NBS Circular 521, 165 (1952).
    • (1952) Gravity Waves, NBS Circular , vol.521 , pp. 165
    • Eckart, C.1
  • 19
  • 20
    • 0344456517 scopus 로고
    • "Contribution à la Thèorie des Ondes Liquides de Gravitè en Profondeur Variable"
    • Publications Scientifiques et Techniques du MiniStère de l'Air 275, Paris
    • M. Roseau, "Contribution à la Thèorie des Ondes Liquides de Gravitè en Profondeur Variable," Publications Scientifiques et Techniques du MiniStère de l'Air 275, Paris (1952).
    • (1952)
    • Roseau, M.1
  • 21
    • 0032137874 scopus 로고    scopus 로고
    • "Oblique wave incident on a plane beach: The classical problem revisited"
    • JFLSA70022-112010.1017/S0022112098001888
    • U. T. Ehrenmark, "Oblique wave incident on a plane beach: The classical problem revisited," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112098001888 368, 291 (1998).
    • (1998) J. Fluid Mech. , vol.368 , pp. 291
    • Ehrenmark, U.T.1
  • 22
    • 0000963564 scopus 로고
    • "Surface waves on water of nonuniform depth"
    • JFLSA70022-112010.1017/S0022112058000690
    • J. B. Keller, "Surface waves on water of nonuniform depth," J. Fluid Mech. JFLSA70022-112010.1017/S0022112058000690 4, 607 (1958).
    • (1958) J. Fluid Mech. , vol.4 , pp. 607
    • Keller, J.B.1
  • 23
    • 33644567929 scopus 로고
    • "Study of wave propagation in water of gradually varying depth"
    • U. S. National Bureau of Standards
    • F. Biesel, "Study of wave propagation in water of gradually varying depth," U. S. National Bureau of Standards, Gravity Waves, NBS Circular 521, 243 (1952).
    • (1952) Gravity Waves, NBS Circular , vol.521 , pp. 243
    • Biesel, F.1
  • 24
    • 0014777603 scopus 로고
    • "On slowly-varying Stokes waves"
    • JFLSA70022-112010.1017/S0022112070000988
    • V. H. Chu and C. C. Mei, "On slowly-varying Stokes waves," J. Fluid Mech. JFLSA70022-112010.1017/S0022112070000988 41, 873 (1970).
    • (1970) J. Fluid Mech. , vol.41 , pp. 873
    • Chu, V.H.1    Mei, C.C.2
  • 25
    • 0024620209 scopus 로고
    • "Derivation of the third-order evolution equations for weakly nonlinear water waves propagating over uneven bottoms"
    • WAMOD90165-212510.1016/0165-2125(89)90012-7
    • P. L.-F. Liu and M. W. Dingemans, "Derivation of the third-order evolution equations for weakly nonlinear water waves propagating over uneven bottoms," Wave Motion WAMOD90165-212510.1016/ 0165-2125(89)90012-7 11, 41 (1989).
    • (1989) Wave Motion , vol.11 , pp. 41
    • Liu, P.L.-F.1    Dingemans, M.W.2
  • 26
    • 3142727959 scopus 로고    scopus 로고
    • "Transformation of progressive waves propagating obliquely on gentle slope"
    • JWPED50733-950X10.1061/(ASCE)0733-950X(2004)130:4(162)
    • Y. Y. Chen, B. D. Yang, L. W. Tang, S. H. Ou, and R. C. Hsu, "Transformation of progressive waves propagating obliquely on gentle slope," J. Waterway, Port, Coastal, Ocean Eng. JWPED50733-950X10.1061/(ASCE)0733-950X(2004)130:4(162) 130, 162 (2004).
    • (2004) J. Waterway, Port, Coastal, Ocean Eng. , vol.130 , pp. 162
    • Chen, Y.Y.1    Yang, B.D.2    Tang, L.W.3    Ou, S.H.4    Hsu, R.C.5
  • 27
    • 0345098555 scopus 로고    scopus 로고
    • "The mild-slope equations"
    • JFLSA70022-1120
    • D. Porter "The mild-slope equations," J. Fluid Mech. JFLSA70022-1120 494, 51 (2003).
    • (2003) J. Fluid Mech. , vol.494 , pp. 51
    • Porter, D.1
  • 28
    • 3843099625 scopus 로고    scopus 로고
    • "A new complementary mild-slope equation"
    • JFLSA70022-1120
    • J. W. Kim and K. J. Bai, "A new complementary mild-slope equation," J. Fluid Mech. JFLSA70022-1120 511, 25 (2004).
    • (2004) J. Fluid Mech. , vol.511 , pp. 25
    • Kim, J.W.1    Bai, K.J.2
  • 30
    • 0020849684 scopus 로고
    • "A parabolic for the combined refraction-diffraction of Stokes waves by mildly varying topography"
    • JFLSA70022-1120
    • J. T. Kirby and R. A. Dalrymple, "A parabolic for the combined refraction-diffraction of Stokes waves by mildly varying topography," J. Fluid Mech. JFLSA70022-1120 136, 543 (1983).
    • (1983) J. Fluid Mech. , vol.136 , pp. 543
    • Kirby, J.T.1    Dalrymple, R.A.2
  • 31
    • 0027333941 scopus 로고
    • "Extend refraction-diffraction equation for surface waves"
    • COENDE0378-3839
    • S. R. Maseel "Extend refraction-diffraction equation for surface waves," Coastal Eng. COENDE0378-3839 19, 97 (1993).
    • (1993) Coastal Eng. , vol.19 , pp. 97
    • Maseel, S.R.1
  • 32
    • 0018317252 scopus 로고
    • "On the parabolic equation method for water wave propagation"
    • JFLSA70022-1120
    • A. C. Radder, "On the parabolic equation method for water wave propagation," J. Fluid Mech. JFLSA70022-1120 95(1), 159 (1979).
    • (1979) J. Fluid Mech. , vol.95 , Issue.1 , pp. 159
    • Radder, A.C.1
  • 33
    • 0020800507 scopus 로고
    • "A note on he accuracy of combined refraction-diffraction"
    • COENDE0378-383910.1016/0378-3839(83)90017-0
    • N. Booij, "A note on he accuracy of combined refraction-diffraction," Coastal Eng. COENDE0378-383910.1016/ 0378-3839(83)90017-0 7, 191 (1983).
    • (1983) Coastal Eng. , vol.7 , pp. 191
    • Booij, N.1
  • 34
    • 0035875076 scopus 로고    scopus 로고
    • "A parabolic equation extended to account for rapidly varying topography"
    • OCENBQ0029-801810.1016/S0029-8018(00)00070-6
    • T. W. Hsu and C. C. Wen, "A parabolic equation extended to account for rapidly varying topography," Ocean Eng. OCENBQ0029-801810.1016/ S0029-8018(00)00070-6 28, 1479 (2001).
    • (2001) Ocean Eng. , vol.28 , pp. 1479
    • Hsu, T.W.1    Wen, C.C.2
  • 35
    • 0022826607 scopus 로고
    • "A general wave equation for waves over rippled beds"
    • JFLSA70022-1120
    • J. T. Kirby, "A general wave equation for waves over rippled beds," J. Fluid Mech. JFLSA70022-1120 162, 171 (1986).
    • (1986) J. Fluid Mech. , vol.162 , pp. 171
    • Kirby, J.T.1
  • 36
    • 0032961083 scopus 로고    scopus 로고
    • "Hybrid model for Bragg scattering of water waves by steep multiply-sinusoidal bars"
    • JCRSEK0749-0208
    • L. Zhang, M. H. Kim, J. Zhang, and B. L. Edge, "Hybrid model for Bragg scattering of water waves by steep multiply-sinusoidal bars," J. Coastal Res. JCRSEK0749-0208 15(2), 486 (1999).
    • (1999) J. Coastal Res. , vol.15 , Issue.2 , pp. 486
    • Zhang, L.1    Kim, M.H.2    Zhang, J.3    Edge, B.L.4
  • 37
    • 0038043571 scopus 로고    scopus 로고
    • "Bragg scattering of water waves by multiply composite artificial bars"
    • CENJA80578-5634
    • T. W. Hsu, L. H. Tsai, and Y. T. Hung, "Bragg scattering of water waves by multiply composite artificial bars," Coast. Eng. Japan CENJA80578-5634 45(2), 235 (2003).
    • (2003) Coast. Eng. Japan , vol.45 , Issue.2 , pp. 235
    • Hsu, T.W.1    Tsai, L.H.2    Hung, Y.T.3
  • 38
    • 0023702329 scopus 로고
    • "Note on Bragg scattering of water waves by parallel bars on the seabed"
    • JFLSA70022-1120
    • C. C. Mei, T. Hara, and M. Naciri, "Note on Bragg scattering of water waves by parallel bars on the seabed," J. Fluid Mech. JFLSA70022-1120 186, 147 (1988).
    • (1988) J. Fluid Mech. , vol.186 , pp. 147
    • Mei, C.C.1    Hara, T.2    Naciri, M.3
  • 39
    • 0027009845 scopus 로고
    • "Higher-order Bragg reflection of gravity surface wave by periodic beds"
    • JFLSA70022-112010.1017/S0022112092000478
    • E. Guazzelli, V. Rey, and M. Belzons, "Higher-order Bragg reflection of gravity surface wave by periodic beds," J. Fluid Mech. JFLSA70022-112010.1017/S0022112092000478 245, 301 (1992).
    • (1992) J. Fluid Mech. , vol.245 , pp. 301
    • Guazzelli, E.1    Rey, V.2    Belzons, M.3
  • 40
    • 0027341118 scopus 로고
    • "A comparison of two models of wave propagation over rapidly-varying topography"
    • AOCRDS0141-118710.1016/0141-1187(93)90028-V
    • T. J. O'Hare and A. G. Davies, "A comparison of two models of wave propagation over rapidly-varying topography," Appl. Ocean. Res. AOCRDS0141-118710.1016/0141-1187(93)90028-V 15, 1 (1993).
    • (1993) Appl. Ocean. Res. , vol.15 , pp. 1
    • O'Hare, T.J.1    Davies, A.G.2
  • 41
    • 28244475791 scopus 로고    scopus 로고
    • "An alternative dispersion equation for water waves over an inclined bed"
    • JFLSA70022-1120
    • U. T. Ehrenmark, "An alternative dispersion equation for water waves over an inclined bed," J. Fluid Mech.JFLSA70022-1120 543, 249 (2005).
    • (2005) J. Fluid Mech. , vol.543 , pp. 249
    • Ehrenmark, U.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.