The objective of this work is to continue to develop rationally based tools for hydro-dynamic analysis of three-dimensional planing surfaces. The small craft naval architect is in need of a computationally efficient method to analyze planing surfaces allowing for sufficient sensitivity to hull geometric details. Planing surface analysis first received attention during the early part of the 20th century. This development was associated with flying boat applications. Von Karman (1929) and Wagner (1932) are considered the first researchers to develop rational models for planing surface analysis. The work contained herein is derived from the extension of Tulin (1957) originally by Vorus (1996) and later by Savander (1997). The model developed allows for general variation in deadrise in both the transverse and longitudinal directions. Hence, buttock line curvature is included in the formulation. The chine beam of the hull can vary longitudinally. Fundamental theoretical and numerical enhancements have been made to Vorus (1996) and Savander (1997). The current model is compared with constant and variable velocity 2-D impact experiments, prismatic planing model tests, Savitsky (1964) prismatic planing model, and deepwater Series 62 model test results (Clement & Blount 1963). The comparisons in many cases are excellent, especially at high Froude number. The comparisons illustrate the utility of the method. Problematic areas are presented and topics for further research are suggested.
Steady Hydrodynamic Analysis of Planing Surfaces
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Savander, Brant R., Scorpio, Stephen M., and Robert K. Taylor. "Steady Hydrodynamic Analysis of Planing Surfaces." J Ship Res 46 (2002): 248–279. doi: https://doi.org/10.5957/jsr.2002.46.4.248
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