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Impulsive impact of a twin hull

Published online by Cambridge University Press:  15 March 2024

B.-Y. Ni Open the ORCID record for B.-Y. Ni [Opens in a new window]  and
Y.A. Semenov Open the ORCID record for Y.A. Semenov [Opens in a new window]
B.-Y. Ni
Affiliation:
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, PR China
Y.A. Semenov*
Affiliation:
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, PR China
*
†Email address for correspondence: yuriy.a.semenov@gmail.com
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Abstract

An impulsively starting motion of two cylindrical bodies floating on a free liquid surface is considered. The shape of the cross-section of each body and the distance between them are arbitrary. The integral hodograph method is advanced to derive the complex velocity potential defined in a rectangular parameter region in terms of the elliptic quasi-doubly periodic Jacobi theta functions. A system of singular integral equations in the velocity magnitude on the free surface and in the slope of the wetted part of each body is derived using the kinematic boundary condition, which is then solved numerically. The velocity field, the pressure impulse on the bodies and the added mass coefficients of each body immediately after the impact are determined in a wide range of distances between the bodies and for cross-sectional shapes such as the flat plate and half-circle.

JFM classification

Waves/Free-surface Flows: Wave-structure interactions
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 983 , 25 March 2024 , A16
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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