Optimum design method for a new smart power generation system utilizing its flexibility

研究的目的是利用优化方法最大化几种流体装置的能源效率。也就是说，本研究基于所提出的拓扑优化方法和水平集方法，提出了一种多物理场流体器件的优化设计方法。晶格玻尔兹曼方法是求解流体动力学问题的一种方法，它易于推广到复杂和大规模的问题。基于连续统玻尔兹曼方程和伴随变量法推导了设计变量更新的设计灵敏度。提出的灵敏度分析不需要复杂矩阵计算。此外，利用粒子法构造了考虑几何非线性的拓扑优化方法。通过对流体力学问题和多物理场问题的数值算例验证了所提拓扑优化方法的有效性和实用性。

The objective of the research is maximizing energy efficiency in several fluid devices utilizing optimization method. That is, this research proposes an optimum design method for multi physics fluid devices based on our proposed topology optimization method and level set method. In order to easily extend to complex and large scale problems, the Lattice Boltzmann Method is used as a solver for fluid dynamics problem. The design sensitivity for updating the design variable is derived based on the continuum Boltzmann equation and adjoint variable method. The proposed sensitivity analysis is free from complex matrix calculation. In addition, topology optimization method considering geometrical nonlinearity is constructed using a particle method. Several numerical examples for fluid dynamics problem and multi physics problems are provided to confirm the validity and utility of the proposed topology optimization method.