摘要
针对离心泵叶轮水力优化过程中须不断预估叶型控制参数扰动对内流场变化的敏感性、计算量随控制参数的维数呈指数倍增长等不足,提出了基于本征正交分解(POD)代理模型的低比转速离心叶轮优化方法.采用泰勒多项式对离心泵叶片型线进行参数化控制,由控制参数扰动得到叶片型线的初始样本集,由叶片型线参数及叶轮CFD内流场数据构建样本快照集.采用POD方法预测各控制参数扰动下的流场,由此预估目标函数对控制变量的敏感性,并沿梯度矢量方向不断优化更新叶片型线.分析结果表明:POD代理模型能够快速地对流场进行精确的预测,大大减少离心泵优化设计的计算量.
Aiming at the problem that in the hydraulic optimization of centrifugal pump impeller,the sensitivity of pump inner flow field to the blade shape control parameters repeatedly must be predicted,and the amount of calculation is increasing exponentially with the dimensions of the control parameters,the optimization method of low specific speed centrifugal pump impeller based on the proper orthogonal decomposition(POD) surrogate model was proposed.The blade was parameterized by Taylor polynomial,and the experiment samples were designed by introducing small perturbations of the control parameters.The snapshot set consisted of the control parameter for blade shape and the flow field data.The POD method was used to predict the flow field perturbation response with the perturbation of control parameters,and the sensitivity of the objective function was predicted.The blade shape was updated continuously along the gradient vector.The analysis results show that the POD surrogate model can accurately predict the flow field and greatly reduce the calculation amount of centrifugal pump optimization.
引文
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