基于自由变形与Kriging代理模型的高维船型减阻优化研究

Research on High-Dimensional Hull Resistance Reduction Optimization Based on Free-Form Deformation and Kriging Surrogate Model

  • 摘要: 【目的】针对高维(30维)全船型复杂优化场景下传统方法计算成本高、全局寻优困难的问题,探索一种基于代理模型的系统性优化方法,以实现船型阻力性能的准确预测与高效寻优。【方法】采用自由变形(FFD)技术实现30维高自由度船体参数化建模,结合拉丁超立方采样生成样本集并通过CFD仿真获取阻力数据;进而构建高精度Kriging代理模型,集成遗传算法在代理模型空间进行全局寻优,并开展灵敏度分析以识别关键设计变量。【结果】基于KCS集装箱船型的优化结果表明,代理模型预测误差仅为0.35%,优化船型阻力系数较母型船降低8.52%。灵敏度分析显示,球鼻艏区域对阻力性能具有显著敏感性。【结论】本研究在高维全船型优化场景下实现了FFD参数化、Kriging代理模型与遗传算法的全流程闭环验证,为成熟技术路线在复杂工程问题中的应用提供了可复现的范例,所获减阻效果与关键变量发现具有明确的工程指导价值。

     

    Abstract: Objectives In response to the problems of high computational cost and difficulty in global optimization in traditional methods under high-dimensional (30-dimensional) full-ship complex optimization scenarios, this study explores a systematic optimization method based on surrogate models to achieve accurate prediction and efficient optimization of ship resistance performance. Methods The Free-Form Deformation (FFD) technique is employed to achieve 30-dimensional high-degree-of-freedom hull parameterization. A sample set is generated using Latin Hypercube Sampling and resistance data are obtained through CFD simulations; subsequently, a high-accuracy Kriging surrogate model is constructed, integrated with a genetic algorithm for global optimization in the surrogate model space, and sensitivity analysis is conducted to identify key design variables. Results Optimization results based on the KCS container ship model indicate that the prediction error of the surrogate model is only 0.35%, and the resistance coefficient of the optimized hull is reduced by 8.52% compared to the original hull. Sensitivity analysis shows that the bulbous bow region has significant sensitivity to resistance performance. Conclusions This study achieves a full-process closed-loop validation of FFD parameterization, Kriging surrogate modeling, and genetic algorithms under high-dimensional full-ship optimization scenarios, providing a reproducible example for the application of mature technical routes in complex engineering problems. The obtained drag reduction and identification of key variables offer clear engineering guidance value.

     

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