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A numerical simulation of hydrodynamic forces of ground‐effect problem using Lagrange's equation of motion
Author(s) -
Yang ShihAn,
Luh PanAn
Publication year - 1998
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19980330)26:6<725::aid-fld713>3.0.co;2-3
Subject(s) - gauss , mathematics , body force , quadrature (astronomy) , mathematical analysis , classical mechanics , equations of motion , gaussian quadrature , constant (computer programming) , nyström method , physics , integral equation , quantum mechanics , optics , computer science , programming language
On the basis of the potential flow theory, Lagrange's equation of motion is used to study the unsteady ground‐effect problem. The forces and moments acting on the moving body are solved in terms of the derivatives of added masses in which the generalized Taylor's formulae are applied. The singular integral equations used to solve the surface source intensities and their derivatives are regularized by the Gauss flux theorem and are therefore amenable to the direct use of the Gaussian quadrature formula. In illustration, the condition of a prolate spheroid moving in the fore‐and‐aft direction at constant speed past a flat ground with a protrusion is considered. The hydrodynamic forces and moments acting on the moving spheroid are investigated systematically by varying the size of the protrusion and the cruising height of the spheroid. © 1998 John Wiley & Sons, Ltd.