SCATTERING AND RADIATION OF WATER WAVES.
Final rept. 1966-1970,
MASSACHUSETTS INST OF TECH CAMBRIDGE WATER RESOURCES AND HYDRODYNAMICS LAB
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Problems of scattering and radiation of water waves by rectangular or circular bodies are formulated within the framework of linearized potential theory. The objective is to find the far field wave amplitude due to radiation by a body oscillating in a prescribed manner or the disturbance caused by a body fixed in the path of an obliquely incident train of waves. The radiation results can be used in conjunction with Haskinds theorem to establish the forces moment an incident wave induces on a fixed body. Further, the radiation results are useful in establishing the damping coefficients associated with forced body oscillation. Specific results which are obtained are the complex reflection and transmission coefficients for two dimensional obstacles including the limiting cases of thin vertical barriers, thin surface strip, and submerged gap. Also the total and differential scattering cross-sections for vertical circular cylinders are presented. Radiated wave amplitudes are given for bodies oscillating in heave, sway, or roll, as well as the forces induced on fixed bodies by incident waves. Comparison with experimental and theoretical results by others is included. Author
- Fluid Mechanics