Abstract
Basis functions are key in constructing interpolation equations in hull surface modification based on radial basis functions (RBF) interpolation. However, few have studied the selection of basis functions in depth. By comparing several typical basis functions through a theoretical analysis and two-dimensional modification examples, the Wendland ψ3,1 (W) function is selected. The advantages of hull form surface modification based on W function interpolation are further validated through a case study. Finally, the modification method is used to optimize a trimaran model. An optimal hull form with fair lines is obtained, and its wave-making resistance coefficient and total resistance are reduced by 8.3% and 3.8%, respectively, compared to those of the original model. These findings not only further illustrate that the W function is relatively suitable for hull form surface modification, but also validate the feasibility and value of the RBF interpolation-based surface modification method in engineering practice.
Highlights
The International Maritime Organization proposed an energy efficiency design index (EEDI) in 2009
Cheng et al [1], Abt et al [2], Peri et al [3,4], Campana et al [5], Li [6], Zhao et al [7], Yang et al [8,9], Tahara et al [10], Feng Baiwei [11,12] Chang Haichao [13,14], Wei [15,16], and Zheng [17] integrated computer-aided design (CAD) with computational fluid dynamics (CFD) based on numerical simulation techniques and optimization algorithms, established CFD-based hull line optimization platforms, successfully completed optimized designs of hull lines through simulation, and obtained optimized hull forms with excellent hydrodynamic performance
By combining the Rankine source method and nonlinear programming (NLP), Zhang et al [24] optimized hull lines with the minimum wave-making resistance RW based on CFD
Summary
The International Maritime Organization proposed an energy efficiency design index (EEDI) in 2009. Form modification methods that directly use offsets or grid control vertices as variables can generate complex hull forms These methods require a large number of control points to modify a certain hull surface area, which can result in an increase in the optimization time. The advantages of the parametric modeling method lie in the fact that each control parameter has a definite geometric meaning and can be flexibly defined manually, and that the control parameters can be directly used as design variables for overall and local ship optimization problems
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