A generalized weak-scatterer approximation for nonlinear wave–structure interaction in marine hydrodynamics
نویسندگان
چکیده
In this paper, a generalized weak-scatterer (GWS) approximation is proposed for solving nonlinear wave–structure interaction problems. contrast to the original (OWS) theory, where approximated free surface boundary conditions (FSBCs) are Taylor-expanded in vertical direction from incident wave surface, we apply Taylor series expansion an arbitrary which, particular, tangential of floating structure close waterline. This leads kinematic and dynamic FSBCs radiated scattered waves, along with corresponding expressions loads. Accordingly, Arbitrary Lagrangian–Eulerian (ALE) approach adopted track free-surface properties. The new GWS method more consistent than OWS model that markers do not separate body at waterline structures flare. An Immersed-Boundary Adaptive Harmonic Polynomial Cell (IB-AHPC) implemented solve value problems (BVPs) both velocity potential Lagrangian acceleration each time step. formulation introduces additional convective terms FSBCs, making them similar seakeeping ships forward speed, requires special treatment avoid instability time-domain simulations. Based on matrix-based eigenvalue stability analysis, illustrate stable solutions can be achieved by introducing upwind-biased scheme discretize FSBC. verified three diffraction regular including submerged circular cylinder, rounded-corner rectangular ship section, trapezoidal section large flare angle. • theory/model extended consistently deal flares. A analysis conducted numerical implementation model. 3rd-order one-point calculating slope stabilize computations. accurately predicts displacement loads structures.
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ژورنال
عنوان ژورنال: Marine Structures
سال: 2022
ISSN: ['1873-4170', '0951-8339']
DOI: https://doi.org/10.1016/j.marstruc.2022.103292