将改进的水平集方法与灵敏度分析方法相结合,发展了一种研究Navier-Stokes方程拓扑优化的新方法。在拓扑优化过程中,引入无需样条参数化的网格重新划分方法,实现水平集函数演化和流场求解的结合。最后,通过对低雷诺数条件下Navier-Stokes翼型优化问题的研究,表明该方法具有良好的全局性,并能有效节约优化问题的计算工作量。
Combining the improved level set method with the sensitivity analysis,a new topology optimization method for Navier-Stokes problem is developed.In the topology optimization,a spline-free re-meshing method is introduced to achieve the integration of the level set function evolution and the flow analysis.Finally,the study of airfoil optimization of Navier-Stokes problem at a low Reynolds number demonstrates that the proposed method gets a global result and saves effectively the numerical work of the optimization problems.
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