Radial basis function interpolation in moving mesh technique

A spring stream method used for unstructured grid and a transfinite interpolation method used for structured grid are discussed. A method using radial basis function is proposed, which resolves moving mesh problem without any grid-connectivity information. Corresponding mesh numerical program is developed. Rotation of a two-dimensional rhombic aerofoil and deformation of a three-dimensional F104 aerofoil are taken as examples to show effects of function and radius on mesh quality and numerical efficiency. Results are compared with mesh-deformation using lineal spring method. It validats availability of the RBF method. We concluded that the RBF method is remarked with simple data structure, high numerical efficiency and strong adapting ability for large mesh deformation. It could be applied to CFD dynamic mesh problems.