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TLDR

The paper proposes a computational approach for free‑surface and rigid‑body interaction with a focus on ship hydrodynamics. The method uses a level‑set representation of the free surface, six‑degree‑of‑freedom rigid‑body dynamics, interface‑tracking, and an ALE residual‑based variational multiscale formulation of the Navier–Stokes and level‑set equations to solve the problem in a fully coupled manner. Numerical experiments demonstrate the accuracy and robustness of the proposed method.

Abstract

This paper presents our approach for the computation of free-surface/rigid-body interaction phenomena with emphasis on ship hydrodynamics. We adopt the level set approach to capture the free-surface. The rigid body is described using six-degree-of-freedom equations of motion. An interface-tracking method is used to handle the interface between the moving rigid body and the fluid domain. An Arbitrary Lagrangian–Eulerian version of the residual-based variational multiscale formulation for the Navier–Stokes and level set equations is employed in order to accommodate the fluid domain motion. The free-surface/rigid body problem is formulated and solved in a fully coupled fashion. The numerical results illustrate the accuracy and robustness of the proposed approach.

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