基于显式边界水平集方法流道优化设计

An Explicit Boundary Level Set Method for Optimization Design of Fluid Channel

为了解决流道优化设计中的流量分配问题,基于COMSOL Multiphysics软件进行二次开发,采用显式边界水平集方法和真实无滑移边界条件,数值求解不可压缩Navier-Stokes方程,提出了基于水平集边界显式化方法的适合管道流量分配的优化模型,并验证了优化模型的数值敏度,通过算例证明了基于显式边界水平集方法建立的优化模型能够有效地解决流道优化设计中流量分配的问题,并且在优化的过程中保留了水平集方法进行拓扑变化的特性。

This paper focused on solving mass distribution problem of fluid channel design with COMSOL script,based on explicit boundary level set method（EbLSM） for incompressible Navier-Stokes flow. The physical field was solved by using explicit no-slip boundary conditions. A method to construct explicit boundaries and optimization model for mass distribution problem was discussed, and the model＇s sensitivity was verified numerically. Finally, the numerical examples illustrate that, based on the EbLSM, the proposed numerical model can solve mass distribution efficiently problem. At the same time, in the progress of optimization, the EbLSM possesses the capability to modify channel＇ s topology.