轴流式叶轮机S_2流面半反命题不可压流动的局部线性化有限元法

Local linearization of finite element method for semi-inverse problem of incompressible flow along S_2 stream surface in axial-flow turbomachinery

为探索局部线性化的有限元法在轴流式叶轮机S2流面半反命题不可压气动流场中的应用,使用八节点曲四边形等参元,通过通常的变分有限元法,计算了轴流式叶轮机S2流面半反命题的气动流场,同样,使用局部线性化有限元法也计算了该流场.两种计算结果一致,并且和实验结果符合较好,但后者的计算时间明显减少,储存量有所增加,计算过程的收敛性是好的.

The application of local linearization of finite element method （FEM ） for the semi‐inverse problem of incompressible flow along S2 stream surface in axial‐flow turbomachinery was discussed . Curved quadrilateral isoparametric elements with eight nodes were used to analyze the flow field for the semi‐inverse problem along S2 stream surface in axial‐flow turbomachinery through usual variational FEM . Local linearization of FEM was also used to analyze this flow field . The computing result of local linearization of FEM is the same as the usual variational FEM and in good agreement with the experimental result .The computing time of local linearization of FEM is reduced compared with usual FEM ,while the required memory of local linearization of FEM increases compared with usual FEM .The computing process show s good convergence properties .