An alternative method for computing hydrostatic performances of a floating body with arbitrary geometrical configurations

Tong, Jie; Lin, Tsung-Yueh; Shih, Minmei; Kouh, Jen-Shiang

doi:10.1016/j.oceaneng.2018.03.036

Cited by 2 publications

(2 citation statements)

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“…If two forces are not managed well, a floating body may capsize or/and sink even though it is watertight. Therefore, the stability analysis based on statical stability curves plays a fundamental role in design of any floating structures 2–9 …”

Section: Introductionmentioning

confidence: 99%

“…Therefore, the stability analysis based on statical stability curves plays a fundamental role in design of any floating structures. [2][3][4][5][6][7][8][9] Conventionally, a statical stability curve is computed through consecutive calculations of geometric variables such as water plane areas, displacement volumes, their centroids, and so forth. [10][11][12][13][14] Therefore, this kind of approach could be referred to as a geometry-oriented one.…”

Section: Introductionmentioning

confidence: 99%

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A mesh insensitive finite element method to compute statical stability curve of floating bodies with arbitrary configurations based on a force‐oriented approach

Zhang

Xie

2022

Numerical Meth Engineering

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For any floating body, statical stability curves play a critical role in its stability analysis. In this article, a force‐oriented approach, in conjunction with finite element procedure, is proposed in order to compute those curves of floating bodies with complicated hull forms. The hull surface is meshed by triangular elements. The buoyant force and restoring moments are directly computed through the load redistribution of the hydrostatic pressure over the facet of each triangular element. Computations of a statical stability curve require a series of floating conditions that lead to the change of waterline with respect to the hull surface. In order to do all computations by using a unique finite element mesh, techniques regarding nodal coordinate update and non‐matching element treatment are developed. The procedure has been established and the algorithm has been developed. Results from three examples with simple but representative geometries are compared to those by hand calculations to verify the accuracy of the approach. Then, two standard reference hull forms, a very large crude carrier (KRISO KVLCC2) and a trimaran (NPL Round Bilge 4a), have been investigated to demonstrate the validation of the approach. Results of all examples show that the proposed approach is insensitive to the mesh pattern.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A mesh insensitive finite element method to compute statical stability curve of floating bodies with arbitrary configurations based on a force‐oriented approach

Zhang

Xie

2022

Numerical Meth Engineering

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Analytical Solution for Froude–Krylov Force of Triangulated Geometry in Linear Waves

Liu¹,

Lin²

2021

Journal of Offshore Mechanics and Arctic Engineering

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For wave exciting load on offshore structures, Froude–Kyrlov (FK) force is easier to evaluate than diffracting force. But current nonlinear FK models suffer low computational speed. Conventionally, FK force is calculated by performing Gaussian quadrature (GQ) on each surface mesh, and the choice of the mesh size is important in order to resolve wave characteristics both in the propagation and depth directions. Therefore, either by limiting the size of a surface mesh under one-tenth of the wavelength or increasing the order of GQ, numerical errors can be minimized. For the purpose of relieving the above restriction, the analytical integration of the dynamic pressure field in the time domain over a triangular mesh is derived to avoid the mesh-dependent errors and to improve computational efficiency. It will be shown that the solution of integration obtained in time domain can be cast in the frequency domain under linearized free surface conditions. Validation includes the analytical solution to a cuboid at head sea and numerical solutions to a catamaran by commercial software. The results show excellent agreement for general wave conditions and prominence at very high-frequency range. In terms of computational efficiency, we compared the execution time against GQ with different orders and showed the analytical method is significantly faster. The limitation of this method is in very long waves or for degenerated panels, which are specifically addressed by line integration.

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An alternative method for computing hydrostatic performances of a floating body with arbitrary geometrical configurations

Cited by 2 publications

References 1 publication

A mesh insensitive finite element method to compute statical stability curve of floating bodies with arbitrary configurations based on a force‐oriented approach

A mesh insensitive finite element method to compute statical stability curve of floating bodies with arbitrary configurations based on a force‐oriented approach

Analytical Solution for Froude–Krylov Force of Triangulated Geometry in Linear Waves

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