Citation:

Dilip Das and B. N. Mandal.Construction of Wave-free Potential in the Linearized Theory of Water Waves[J].Journal of Marine Science and Application,2010,(4):347-354.

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Dilip Das and B. N. Mandal.Construction of Wave-free Potential in the Linearized Theory of Water Waves[J].Journal of Marine Science and Application,2010,(4):347-354.

Construction of Wave-free Potential in the Linearized Theory of Water Waves

- Title:
- Construction of Wave-free Potential in the Linearized Theory of Water Waves

- Author(s):
- Dilip Das and B. N. Mandal

- Affilations:

- Keywords:
- wave-free potential; free surface; surface tension; ice-cover; Laplace equation; Helmholz equation

- DOI:
- -

- Abstract:
- Various water wave problems involving an infinitely long horizontal cylinder floating on the surface water were investigated in the literature of linearized theory of water waves employing a general multipole expansion for the wave potential. This expansion involves a general combination of a regular wave, a wave source, a wave dipole and a regular wave-free part. The wave-free part can be further expanded in terms of wave-free multipoles which are termed as wave-free potentials. These are singular solutions of Laplace’s equation (for non-oblique waves in two dimensions) or two-dimensional Helmholz equation (for oblique waves) satisfying the free surface condition and decaying rapidly away from the point of singularity. The method of constructing these wave-free potentials is presented here in a systematic manner for a number of situations such as deep water with a free surface, neglecting or taking into account the effect of surface tension, or with an ice-cover modelled as a thin elastic plate floating on water.

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- Memo:
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Last Update:
2011-04-29