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Calculation of Nonlifting Potential Flow About Arbitrary Three-Dimensional Bodies

Hess, John L., Smith, A. M. O.·1964·Journal of Ship Research

Abstract

A general method is described for calculating, with the aid of an electronic computer, the incompressible potential flow about arbitrary, nonlifting, three-dimensional bodies. The method utilizes a source density distribution on the surface of the body and solves for the distribution necessary to make the normal component of fluid velocity zero on the boundary. Plane quadrilateral surface elements are used to approximate the body surface, and the integral equation for the source density is replaced by a set of linear algebraic equations for the values of the source density on the quadrilateral elements. When this set of equations has been solved, the flow velocity both on and off the body surface is calculated. After the basic ideas and equations have been derived end discussed, the accuracy of the method is exhibited by means of comparisons with analytic solutions, and its usefulness is shown by comparing calculated pressure distributions with experimental data. Some of the design problems to which the method has been applied are also presented, to indicate the variety of flow situations that can be calculated by this approach.

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Crossref · 10.5957/jsr.1964.8.4.22

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Metadata

Authors
Hess, J. L., & Smith, A. M. O.
Venue
Journal of Ship Research
Published
1964-09-01
Volume
8
Issue
04
Pages
22-44
ISSN
  • 0022-4502 (ISSN-L)
  • 1542-0604
OpenAlex
W1530865072
Cited by
692
References
0
FWCI
12.59
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Calculation of Nonlifting Potential Flow About Arbitrary Three-Dimensional Bodies. https://app.cochat.ai/papers/10.5957/jsr.1964.8.4.22
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Hess, J. L., & Smith, A. M. O. (1964). Calculation of Nonlifting Potential Flow About Arbitrary Three-Dimensional Bodies. Journal of Ship Research. https://doi.org/10.5957/jsr.1964.8.4.22

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.