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Contemporary Ideas on Ship Stability pp 51–76Cite as

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

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Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 119))

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.

This chapter is the union of two papers presented at a Stability Workshop (Reed & Telste 2011) and a STAB Conference (Reed 2012).

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Notes

  1. 1.

    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.

  2. 2.

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

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Acknowledgements

As stated in the Introduction, this work is a summary of some of the significant work contained in Sclavounos (2012), Sclavounos & Lee (2012) and Sclavounos, et al. (2019). The significant contribution of Paul Sclavounos is very much appreciated. The many fruitful discussions with the Theory Advisory Panel (TAP) are also appreciated; as are the efforts of Prof. Robert F. Beck of the University of Michigan and his graduate students Xinshu Zhang, Jim Bretl, Piotr Bandyk and Rahul Subramanian who provided the computational results reported herein. This work was supported by Drs. L. Patrick Purtell and Paul Hess of the Office of Naval Research (ONR).

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Authors and Affiliations

  1. David Taylor Model Basin (NSWCCD), West Bethesda, MD, USA

    Arthur M. Reed & John G. Telste

Authors
  1. Arthur M. Reed
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  2. John G. Telste
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Correspondence to Arthur M. Reed .

Editor information

Editors and Affiliations

  1. David Taylor Model Basin/Naval Surface Warfare Center Carderock Division, West Bethesda, MD, USA

    Vadim L. Belenky

  2. School of Naval Architecture and Marine Engineering, National Technical University of Athens, Athens, Greece

    Kostas J. Spyrou

  3. MARIN-Maritime Research Institute Netherlands, Wageningen, The Netherlands

    Frans van Walree

  4. Department of Naval Architecture and Ocean Engineering, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil

    Marcelo Almeida Santos Neves

  5. Department of Naval Architecture and Ocean Engineering, Osaka University, Suita, Osaka, Japan

    Naoya Umeda

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Reed, A.M., Telste, J.G. (2019). Application of Computing Hydrodynamic Forces and Moments on a Vessel Without Bernoulli’s Equation. In: Belenky, V., Spyrou, K., van Walree, F., Almeida Santos Neves, M., Umeda, N. (eds) Contemporary Ideas on Ship Stability. Fluid Mechanics and Its Applications, vol 119. Springer, Cham. https://doi.org/10.1007/978-3-030-00516-0_4

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  • DOI: https://doi.org/10.1007/978-3-030-00516-0_4

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