基于自由变形与Kriging代理模型的高维船型减阻优化研究

High-dimensional hull resistance reduction optimization based on free-form deformation and a Kriging surrogate model

  • 摘要:
    目的 针对 30 维高维全船型复杂优化场景下传统方法计算成本高、全局寻优难度大的问题,探索一套基于代理模型的系统性优化方法,实现船型阻力性能的精准预测与高效寻优,为高维船型优化提供可行技术方案。
    方法 采用自由变形(FFD)技术完成 30 维高自由度船体参数化建模,结合拉丁超立方采样(LHS)生成样本集,并通过 CFD 仿真获取阻力数据;构建高精度 Kriging 代理模型以替代高成本 CFD 仿真,集成遗传算法(GA)并结合粒子群优化(PSO)形成混合策略,在代理模型空间开展全局寻优,同时通过灵敏度分析识别影响阻力的关键设计变量。
    结果 以KCS 集装箱船型为研究对象的优化结果显示,所建 Kriging 代理模型预测相对误差仅 0.35%,优化后船型阻力系数相比母型船降低 8.52%;灵敏度分析证实,球鼻艏区域的设计变量对船体阻力性能具有显著敏感性,为核心影响因素。
    结论 实现了 FFD 参数化、Kriging 代理模型与遗传算法在高维全船型优化中的全流程闭环验证,所提方法大幅提升了高维船型优化的计算效率与寻优效果,相关减阻成果及关键变量发现为船舶节能设计提供明确工程指导,也为成熟技术路线在复杂工程优化问题中的应用提供了可复现范例。

     

    Abstract:
    Objectives  To address the high computational cost and the difficulty of achieving global optimization using conventional methods in complex, high-dimensional full-hull design problems (e.g., a 30-dimensional design space), this study proposes a surrogate-model-based optimization method for accurate prediction and efficient optimization of ship resistance performance, providing a practical technical solution for high-dimensional hull form optimization.
    Methods The Free-Form Deformation (FFD) technology was employed to parameterize the hull geometry with 30 design variables, enabling high-dimensional, high-degree-of-freedom shape representation. Latin Hypercube Sampling was used to generate the design sample set, with resistance data obtained through CFD simulation. A high-fidelity Kriging surrogate model was constructed to replace the high-cost CFD simulation. A hybrid strategy combining a Genetic Algorithm (GA) and Particle Swarm Optimization (PSO) was developed to perform global optimization within the surrogate model space. In addition, sensitivity analysis was conducted to identify the key design variables affecting hull resistance.
    Results The optimization results based on the KCS container ship model show that the prediction error of the constructed Kriging surrogate model was as low as 0.35%. The resistance coefficient of the optimized hull form was reduced by 8.52% compared with the baseline hull. Sensitivity analysis indicates that design variables associated with the bulbous bow region had a significant influence on hull resistance and constitute the primary influencing factors.
    Conclusions This study achieves full-process, closed-loop verification of FFD parameterization, the Kriging surrogate model, and evolutionary optimization within a high-dimensional full-hull design framework. The proposed method greatly improves both computational efficiency and optimization effectiveness in high-dimensional hull form optimization. The demonstrated resistance reduction and the identification of key design variables provide clear engineering guidance for energy-efficient ship design, and offer a reproducible paradigm for applying mature methodologies to complex engineering optimization problems.

     

/

返回文章
返回