Numerical Simulation of the Potential Flow around a Submerged Hydrofoil with Fully Nonlinear Free-Surface Conditions

Abstract

ABSTRACT Hu, J.; Guo, L., and Sun, S., 2018. Numerical simulation of the potential flow around a submerged hydrofoil with fully nonlinear free-surface conditions. Hydrofoils have been utilized worldwide to facilitate coastal vessels for transportation, surveillance, and patrol with high speed. Inevitably, the free surface has a significant effect on the hydrofoils because of the shallow draft. In this paper, a numerical procedure based on a boundary-element method is developed for simulating a uniform incoming flow passing a two-dimensional submerged hydrofoil with free-surface effects. In the proposed technique, the boundaries of the computational domain are discretized by small elements over which the known and unknown variables are linearly distributed. To avoid the numerical instabilities induced by the sudden start of the flow through a sharp-edged foil, it is assumed that a vortex sheet with uniform strength Γ has been placed within the foil at the initial time step. The unknown vortex strength Γ, t...