Higher-Order Thin-Ship Theory by Means of the Method of Matched Asymptotic Expansions.
Interim technical rept.,
MICHIGAN UNIV ANN ARBOR DEPT OF NAVAL ARCHITECTURE AND MARINE ENGINEERING
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A new approach to the higher-order thin-ship theory is developed by means of the method of matched asymptotic expansions. The result is not new, but the approach is different. The source distributions are determined by the process of matching of the far-field solution to the near-field solution. Thus the expression for the higher-order thin-ship theory is valid in the far field. The near field is a combination of thin-ship and slender-ship near field. In the far field, the potential is composed of three types of potentials, thin-ship, slender-ship, and pressure-distribution, all of which satisfy linearized free-surface conditions at the z 0 plane. Author Modified Abstract
- Fluid Mechanics