Abstract: Problems of orthogonal properties become more serious when the traditional transfinite interpolation (TFI) dynamic mesh method is employed for large deformations. Based on an analysis of the geometric relationship and interpolation features, an improvement for the present TFI method is proposed with a rotation correction. A new spring-TFI hybrid dynamic mesh method is developed for a structured mesh. First, each block of the computation domain is divided into several sub-blocks. Then, a spring network which connects the corners of all sub-blocks is established to smooth the mesh by means of spring analysis. Finally, a modified TFI method is used for calculating the inner deformations of the sub-blocks. Computational results of typical two and three dimensional viscous grids indicate that good orthogonal and smoothing properties can be achieved by rotation correction for large mesh deformations. In addition, the computational efficiency is slightly decreased than the traditional TFI method, but improved by 1 or 2 orders of magnitude when compared with the spring analogy method.

Key words: dynamic mesh, rotation correction, spring analogy method, transfinite interpolation, computational fluid dynamics