A 3-DIMENSIONAL MOVING MESH METHOD FOR THE CALCULATION OF UNSTEADY TRANSONIC-FLOWS

A three-dimensional moving mesh method for solving the Euler equations describing the compressible flow about a wing undergoing arbitrary mo tions and deformations is described. A finite-volume formulation is ch osen when the volumes distort as the wing moves or deforms. By using t ransfinite interpolation, a technique for generating the required sequ ence of grids has been developed. Furthermore, as the speeds of the gr id at the vertices of the finite volumes are required by the flow solv er, transfinite interpolation is also used to obtain these by interpol ation of the boundary speeds. A two-dimensional version of the method has also been developed and results for both two- and three-dimensiona l transonic flows are presented and compared with experimental data wh ere available.