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The Green function for potential flow in a rectangular channel (1992)

Newman, J. N.

Springer

Journal of engineering mathematics 26 (1992), S. 51-59

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ISSN: 1573-2703

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Technology

Notes: Abstract The evaluation of the Green function is considered for the three-dimensional Laplace equation, in the interior of a rectangular channel subject to homogeneous Neumann conditions on the boundaries. To complement the Fourier eigenfunction expansion which is effective in the far-field, a near-field algorithm is developed based on the simpler Green function for a channel of infinite width, using images to account for the channel sides. Examples are given of numerical applications including the added mass of a sphere in a square channel, and the interaction force between a ship and an adjacent canal wall.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00043225

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