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87:6086 The effect of wave breaking on wave spectrum in water of finite depth
O L R (1987) 34 ( I l )
A. Physical Oceanography
is narrow-beam, differences in s~ and s2 must therefore be due to some other effect, as yet undetermined. 6 Highlands, Taunton, Somerset TA l 4HP, UK. 87:6086 Tung, C.C. and N.E. Huang, 1987. The effect of wave breaking on wave spectrum in water of finite depth. J. geophys. Res., 92(C5):5125-5130. It is assumed that there exists a linear and Gaussian ideal wave train whose spectrum is first calculated using the wave energy flux balance equation without considering wave breaking. The Miche wave-breaking criterion for waves in water of finite depth is then applied to limit the wave elevation and establish an expression for the breaking wave elevation in terms of the elevation and elevation's second time derivative of the ideal waves. Simple expressions for the mean value, the mean square value, and the spectrum of the breaking waves are then obtained, and numerical results presented graphically. Dept. of Civil Engng, Box 7908, North Carolina State Univ., Raleigh, NC 27695, USA. 87:6087 Webster, Ian and David Holland, 1987. A numerical method for solving the forced baroclinic coastaltrapped wave problem of general form. J. atmos. ocean. Technol., 4(1):220-226. Determination of baroclinic coastal-trapped wave modes reduces to an eigenvalue problem quadratic in the eigenvalue if the long-wave assumption is not made and can then be expressed as a linear eigenvalue problem of expanded dimension, which permits direct determination of the set of functions orthogonal to the baroclinic eigenmodes sought. Using this set, the forced baroclinic response problem can be expressed as a first-order series of ordinary differential equations, one for each forced eigenmode. The method permits the calculation of complex wavenumbers directly; in addition, the forcing of waves that are solutions to equations nonlinear in the eigenvalue can be determined. The method also has general applicability, for example, in the problem of frontal stability involving equations cubic in the eigenvalue. Dept. of Phys., Memorial Univ., St. John's, NF, A1B 3X7, Canada. 87:6088 Yesipov, I.B., V.V. Zosimov and K.A. Naugol'nykh, 1986. On one case of the scattering of the modulation wave for the interaction of waves at a statistically rough surface. Izv. A tmos. Ocean Phys. (a translation of Fiz. Atmos. Okeana), 22(5):418-419.
925
This paper investigates the characteristics of an optical radiation modulation wave for the scattering of two close-frequency waves by a statistically rough free surface of a liquid, perturbed by a harmonic acoustic wave. Acad. of Sci., Acoustics Inst., USSR. 87:6089 Yih, C.-S., 1987. A solitary group of two-dimensional deep-water waves. Q. appl. Math., 45(1): 177-183. This paper gives a simple solution for gravity waves born of a concentrated oscillatory force of constant velocity on a deep water surface. A single gravity wave group is found with individual waves of a wave number and phase velocity proportional to the frequency and velocity of the surface force. Univ. of Michigan, Ann Arbor, MI 48109, USA. Orb) 87:6090 Yu, Zhouwen, Zijun Gan and Anle Ye, 1987. Linear waves in rotational homogeneous fluid with uniform water depth. II. Possible waves filtered out by the assumption of hydrostatic pressure. Acta oceanol, sin., 6(1):1-7. This study is devoted to linear long wave equations without the assumption of hydrostatic pressure. All the solutions in the case of 0~ = f are found. A set of solutions similar to the unified solutions of the Sverdrup waves and the Poincar~ waves is also obtained, but the corresponding waves represented by such a set have a different vertical structure of velocities. The set is not included in the solutions of linear long wave equations under the assumption of hydrostatic pressure and, therefore, is regarded as waves possibly filtered out by the assumption of hydrostatic pressure. Shandong Coll. of Oceanogr., Qingdao, People's Republic of China.
ALSO. Internal waves and tides 87:6091 de Young, Brad and Stephen Pond, 1987. The internal tide and resonance in Indian Arm, British Columbia. J. geophys. Res., 92(C5):5191-5207. In the winter of 1983-1984, this internal tide was observed to change from a predominantly M 2 internal response to a predominantly KI one. This change in the response is explained as a partial resonance response of the system. The resonance period steadily increased from 14 hours at the start to 22 hours at the end. The fitting of normal modes was done to look at the energy flux in Indian Arm, and about 20-30% is found to return from the head of the inlet, supporting the resonance hypothesis. Dept. of Oceanogr., Univ. of British Columbia, Vancouver, BC, V6T IWS, Canada.
A. Physical Oceanography
is narrow-beam, differences in s~ and s2 must therefore be due to some other effect, as yet undetermined. 6 Highlands, Taunton, Somerset TA l 4HP, UK. 87:6086 Tung, C.C. and N.E. Huang, 1987. The effect of wave breaking on wave spectrum in water of finite depth. J. geophys. Res., 92(C5):5125-5130. It is assumed that there exists a linear and Gaussian ideal wave train whose spectrum is first calculated using the wave energy flux balance equation without considering wave breaking. The Miche wave-breaking criterion for waves in water of finite depth is then applied to limit the wave elevation and establish an expression for the breaking wave elevation in terms of the elevation and elevation's second time derivative of the ideal waves. Simple expressions for the mean value, the mean square value, and the spectrum of the breaking waves are then obtained, and numerical results presented graphically. Dept. of Civil Engng, Box 7908, North Carolina State Univ., Raleigh, NC 27695, USA. 87:6087 Webster, Ian and David Holland, 1987. A numerical method for solving the forced baroclinic coastaltrapped wave problem of general form. J. atmos. ocean. Technol., 4(1):220-226. Determination of baroclinic coastal-trapped wave modes reduces to an eigenvalue problem quadratic in the eigenvalue if the long-wave assumption is not made and can then be expressed as a linear eigenvalue problem of expanded dimension, which permits direct determination of the set of functions orthogonal to the baroclinic eigenmodes sought. Using this set, the forced baroclinic response problem can be expressed as a first-order series of ordinary differential equations, one for each forced eigenmode. The method permits the calculation of complex wavenumbers directly; in addition, the forcing of waves that are solutions to equations nonlinear in the eigenvalue can be determined. The method also has general applicability, for example, in the problem of frontal stability involving equations cubic in the eigenvalue. Dept. of Phys., Memorial Univ., St. John's, NF, A1B 3X7, Canada. 87:6088 Yesipov, I.B., V.V. Zosimov and K.A. Naugol'nykh, 1986. On one case of the scattering of the modulation wave for the interaction of waves at a statistically rough surface. Izv. A tmos. Ocean Phys. (a translation of Fiz. Atmos. Okeana), 22(5):418-419.
925
This paper investigates the characteristics of an optical radiation modulation wave for the scattering of two close-frequency waves by a statistically rough free surface of a liquid, perturbed by a harmonic acoustic wave. Acad. of Sci., Acoustics Inst., USSR. 87:6089 Yih, C.-S., 1987. A solitary group of two-dimensional deep-water waves. Q. appl. Math., 45(1): 177-183. This paper gives a simple solution for gravity waves born of a concentrated oscillatory force of constant velocity on a deep water surface. A single gravity wave group is found with individual waves of a wave number and phase velocity proportional to the frequency and velocity of the surface force. Univ. of Michigan, Ann Arbor, MI 48109, USA. Orb) 87:6090 Yu, Zhouwen, Zijun Gan and Anle Ye, 1987. Linear waves in rotational homogeneous fluid with uniform water depth. II. Possible waves filtered out by the assumption of hydrostatic pressure. Acta oceanol, sin., 6(1):1-7. This study is devoted to linear long wave equations without the assumption of hydrostatic pressure. All the solutions in the case of 0~ = f are found. A set of solutions similar to the unified solutions of the Sverdrup waves and the Poincar~ waves is also obtained, but the corresponding waves represented by such a set have a different vertical structure of velocities. The set is not included in the solutions of linear long wave equations under the assumption of hydrostatic pressure and, therefore, is regarded as waves possibly filtered out by the assumption of hydrostatic pressure. Shandong Coll. of Oceanogr., Qingdao, People's Republic of China.
ALSO. Internal waves and tides 87:6091 de Young, Brad and Stephen Pond, 1987. The internal tide and resonance in Indian Arm, British Columbia. J. geophys. Res., 92(C5):5191-5207. In the winter of 1983-1984, this internal tide was observed to change from a predominantly M 2 internal response to a predominantly KI one. This change in the response is explained as a partial resonance response of the system. The resonance period steadily increased from 14 hours at the start to 22 hours at the end. The fitting of normal modes was done to look at the energy flux in Indian Arm, and about 20-30% is found to return from the head of the inlet, supporting the resonance hypothesis. Dept. of Oceanogr., Univ. of British Columbia, Vancouver, BC, V6T IWS, Canada.