Local linearization of finite element method for semi-inverse problem of incompressible flow along S2 stream surface in axial-flow turbomachinery

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 shows good convergence properties.