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Linear discretized lifting-line

  • Objectives:

–Derive and validate a physics-based model to simulate the gross effects of gap-clearance flow on a hydrofoil

–Validate predictions of hydrodynamic response of a rectangular cantilevered hydrofoil in a flow channel

–Elucidate upon the effects of changing gap-clearance size

  • Conclusions:

–Gap flow model validated against experimental results and higher-fidelity CFD simulations by the author.

–Increasing gap size decreases 3D lift and increases 3D drag.

–The result is a fast and accurate model capable of predicting global lift, drag, circulation distributions, TLV strength, and incipient TLV cavitation with 6 orders-of-magnitude time-savings, compared to CFD.

  • Highlights:

–Discretized lifting-line model derived from first-principles

  • 2nd-order-accurate discretization schemes and arbitrary tip BC

–Empirical results found in literature were used as a modified boundary condition at wing tip

Nonlinear lifting-line formulation.

  • Objectives:

–Extend the capabilities of discrete lifting-line code of (Harwood & Young, 2014) to predict load distributions on surface-piercing hydrofoils

–Implement unsteady-flow capability

  • Highlights

–Section-level nonlinear lift models:

  • Subcavitating section flow coupled to XFOIL for simulating viscous separation
  • cavitation model is based on linear flat-plate theory

–Negative image FSBC

–Wagner-function convolution approach is a reasonable, but high-cost, approach to unsteady simulations

Reentrant LL