Research Papers: Fundamental Issues and Canonical Flows

Time Domain Simulation of Lifting Bodies Acting at or Near the Free Surface With Vortex Particle Wakes

[+] Author and Article Information
Rachel Gouveia

Navatek, Ltd.,
1080 Kingstown Road,
Wakefield, RI 02879
e-mail: rgouveia@navatekltd.com

Stephanie Fitzpatrick

Navatek, Ltd.,
1080 Kingstown Road,
Wakefield, RI 02879
e-mail: sfitzpatrick@navatekltd.com

Amanda Costa

Navatek, Ltd.,
1080 Kingstown Road,
Wakefield, RI 02879
e-mail: acosta@navatekltd.com

David Kring

Navatek, Ltd.,
1080 Kingstown Road,
Wakefield, RI 02879
e-mail: dkring@navatekltd.com

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received February 14, 2018; final manuscript received November 27, 2018; published online January 14, 2019. Assoc. Editor: Olivier Coutier-Delgosha.

J. Fluids Eng 141(4), 041201 (Jan 14, 2019) (8 pages) Paper No: FE-18-1101; doi: 10.1115/1.4042147 History: Received February 14, 2018; Revised November 27, 2018

Boundary element method (BEM) potential-flow solvers are regularly used in industrial applications due to their quick setup and computational time. In aerodynamics, vortex particle methods (VPM) are widely used with BEM potential-flow solvers for modeling lift. However, they are seldom applied to the ocean environment. This paper discusses the implementation of a VPM into Aegir, an existing time-domain, seakeeping, medium-fidelity, BEM potential-flow solver. The wake in the VPM is modeled using both a small dipole buffer wake sheet and vortex particles. It has been observed that this method captures both the details of complex wake patterns behind lift-producing surfaces and the expected lift force, thus improving the accuracy of the solution. Two new contributions presented in this paper include the extension of the VPM from previous source-based methods to a potential formulation and full interaction with free surface waves.

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Fig. 2

Converting dipole panels to particles

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Fig. 3

Positions of the vortex particles canceling the end vortex of the dipole wake

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Fig. 4

Steady forcing convergence study of the VPM compared to Prandtl's lifting line theory

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Fig. 12

NACA0015 forced to pitch at a depth to chord ratio 0.5. Notice that as the particles in the wake of the foil begin to oscillate dramatically near the free surface, they pierce the boundary and cross above the surface.

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Fig. 5

Forced heaving NACA0012 with VPM compared to Theodorsen theoretical 2D lift force

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Fig. 6

Wake pattern of an instantaneous pitch run from presented VPM using the high-order approach

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Fig. 7

Wake patterns of an instantaneous pitch run from the presented VPM for 1 deg (left) and 5 deg (right)

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Fig. 8

Pressure distributions at the root of the hydrofoil of instantaneous 1 deg, 3 deg, and 5 deg pitch runs from presented VPM compared to the pre-existing dipole wake method

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Fig. 9

Resulting particle advection from forced heave simulation of aspect ratio 1 hydrofoil

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Fig. 10

Lift coefficient time traces for a 3D NACA0015 foil pitching between ±5 deg with reduced pitching frequencies (a) k = 0.5, (b) k = 1.0, and (c) k = 2.0

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Fig. 11

Forced pitching NACA0015 with VPM at depth to chord ratio: (a) 1.0, (b) 0.75, and (c) 0.5

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Fig. 13

NACA0015 forced to pitch at depth to chord ratio 0.5. The particles are observed to cross above the free surface.

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Fig. 14

Steady forcing VPM time domain simulation with downstream bodies

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Fig. 15

Simulation with free surface and multiple hydrofoils



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