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A numerical nonlinear analysis of two-dimensional ventilating entry of surface-piercing hydrofoils with effects of gravity

Published online by Cambridge University Press:  30 June 2010

VIMAL VINAYAN  and
SPYROS A. KINNAS
VIMAL VINAYAN*
Affiliation:
Ocean Engineering Group, Department of Civil, Architectural and Environmental Engineering, University of Texas at Austin, Austin, TX 78712, USA
SPYROS A. KINNAS
Affiliation:
Ocean Engineering Group, Department of Civil, Architectural and Environmental Engineering, University of Texas at Austin, Austin, TX 78712, USA
*
†Email address for correspondence: vvinayan@mail.utexas.edu
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Abstract

The presence of the free surface adds an element of difficulty to the development of numerical and theoretical methods for the performance prediction of surface-piercing hydrofoils. Existing methods of analysis for two-dimensional surface-piercing hydrofoils or blade sections of a surface-piercing propeller solve either a linear problem, assuming a thin section and ventilated surface along with linear free-surface boundary conditions, or a nonlinear problem in a self-similar setting. Both these approaches cannot be used when the effects of gravity are important, which is the case when a craft is operating at low speeds. A two-dimensional boundary-element-method-based numerical scheme is presented here that overcomes these drawbacks by solving the fully ventilated flow past a surface-piercing hydrofoil of finite dimensions and includes the whole gamut of nonlinear free-surface interactions. The unique aspect of the numerical scheme is that fully nonlinear boundary conditions are applied on the free surface which allows for the accurate modelling of the jet generated on the wetted boundary and the ventilated surface formed on the suction side as a result of the passage of the hydrofoil through the free surface. Moreover, the effects of gravity can be considered to take into account the influence of the Froude number. Ventilated-surface shapes predicted by the present scheme are compared with existing experimental results and are shown to be in good agreement.

JFM classification

Mathematical Foundations: Computational methods

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Type
Papers
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Journal of Fluid Mechanics , Volume 658 , 10 September 2010 , pp. 383 - 408
Copyright
Copyright © Cambridge University Press 2010

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