转轮内全三维不可压缩流动问题有限元统一解法研究

引入非正交曲线坐标系，克服反问题或混合问题所特有的求解域内边界未定的难点，本文建立转轮内部完全三维不可压缩流动问题（正问题、反问题以及混合问题）的通用数学模型．来用有限元技术并结合有限体积法，建立该三类流动问题的有限元统一解法，将三维正问题分析、叶片的完全三维设计以及三维叶片局部改型融合于同一种计算方法．

Study on unified finite element solution for fully 3-D incompressible flows inside rotating impeller

A non-orthogonal curvilinear coordinate system has been introduced in this paper to overcome the difficulties of indeterminate boundaries in computational domain in inverse and hybrid problems. A universal method for direct, inverse, and hybrid problems has been established by using a discrete unified mathematic model. Three dimensional finite element technigue and finite volume method were used accordingly. The unified method contains the threedimensional analysis of direct problem, the full three dimensional design of the blade, and the partial modification for the blade.