Flow behavior inside rotors can be very complicated and with three-dimensional characteristics. This fact added to a large number of free geometrical parameters that can be varied makes the design of these components a difficult task. Optimization techniques can be applied to generate optimized designs for these machines. In this work, a different approach to design rotors by using topology optimization is proposed. An objective function measured at the boundaries and derived from energy dissipation inside the domain is used with the continuous adjoint approach considering a rotating reference frame for the governing equations. Cyclic boundary conditions are used to represent rotational repeating patterns. The Finite Volume Method is used to solve the direct and adjoint problems, and an implementation of the Globally Convergent Method of Moving Asymptotes (GCMMA) is applied. Numerical examples are presented and an optimized design is compared with a traditional one.

转子内部的流动行为可能非常复杂并且具有三维特征。这一事实增加了许多可以改变的自由几何参数，这使这些组件的设计成为一项艰巨的任务。可以应用优化技术为这些机器生成优化的设计。在这项工作中，提出了一种使用拓扑优化设计转子的不同方法。考虑到控制方程的旋转参考系，在边界处测量并从域内部能量耗散得出的目标函数与连续伴随方法一起使用。循环边界条件用于表示旋转重复模式。有限体积法用于解决直接问题和伴随问题，并应用了全球渐进渐近运动渐近线方法（GCMMA）的实现。给出了数值示例，并将优化设计与传统设计进行了比较。