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探讨了基于变分法的敏度分析在形状优化设计中的应用 ,提出敏度分析过程中提高速度场求解效率和有限元网格质量的新方法 .在形状优化设计中采用基于变分法的敏度分析方法 ,设计速度场采用Hermann网格均匀化法进行求解 .算例表明优化过程中采用Herrmann网格均匀化法求解设计速度场 ,可以提高优化过程中网格的质量 ,速度场的求解效率也得到极大的提高从而优化的效果和效率都有明显提高 .在形状优化过程中 ,采用基于变分法的敏度分析 ,可以使敏度分析成为单独模块 ,在进行设计速度场求解时采用Herrmann法 ,使速度场求解的效率和优化过程的质量得到保证 .
The application of the sensitivity analysis based on the variational method to the shape optimization design is discussed, and a new method to improve the velocity field solving efficiency and the finite element mesh quality is put forward in the sensitivity analysis.Variation-based method Sensitivity analysis method and the design velocity field are solved by Hermann grid homogenization method.The examples show that the Herrmann grid homogenization method can be used to solve the design velocity field in the optimization process, which can improve the quality and velocity field of the optimization process The efficiency is also greatly improved and the optimization effect and efficiency are obviously improved.In the shape optimization process, the sensitivity analysis based on the variational method can make the sensitivity analysis become a separate module, and when the design speed field is solved Using Herrmann method, the efficiency of solving the velocity field and the quality of the optimization process are guaranteed.