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2019 | OriginalPaper | Chapter

4. Application of Computing Hydrodynamic Forces and Moments on a Vessel Without Bernoulli’s Equation

Authors : Arthur M. Reed, John G. Telste

Published in: Contemporary Ideas on Ship Stability

Publisher: Springer International Publishing

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Abstract

Traditionally the hydrodynamic force on a ship’s hull is obtained by integrating the pressure over the hull, using Bernoulli’s equation to compute the pressures. Due the need to evaluate \(\varPhi _t\), \(\varPhi _x\), \(\varPhi _y\), \(\varPhi _z\) at every instant in time, this becomes a computational challenge when one wishes to know the hydrodynamic forces (and moments) on the instantaneous wetted surface of a vessel in extreme seas. A methodology that converts the integration of the pressure over the hull surface into an impulse, the time derivative of several integrals of the velocity potential over the surface of the vessel and possibly the free surface near the vessel is introduced. Some examples of applying the impulsive theory to 2- and 3-dimensional bodies are presented.

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previous chapter Evaluation of Hydrodynamic Pressures for Autoregressive Model of Irregular Waves

next chapter Modelling of Hull Lift and Cross Flow Drag Forces in Large Waves in a Computationally Efficient Dynamic Stability Prediction Tool

As the free-surface boundary condition is not used in the development of the momentum theory for the force, the specific free-surface boundary condition chosen is not important.

In the plots that follow, the UMBest results are labeled “Current Method”.

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Title: Application of Computing Hydrodynamic Forces and Moments on a Vessel Without Bernoulli’s Equation
Authors: Arthur M. Reed
John G. Telste
Publisher: Springer International Publishing
Book: Contemporary Ideas on Ship Stability
Print ISBN: 978-3-030-00514-6

Electronic ISBN: 978-3-030-00516-0

Copyright Year: 2019
DOI: https://doi.org/10.1007/978-3-030-00516-0_4