A dual-time method for two-dimensional unsteady incompressible flow calculations

A method for computing unsteady incompressible viscous ows on moving or deforming meshes is described. It uses a well-established time-marching nite-volume ow solver, developed for steady compressible ows past rigid bodies. Time-marching methods cannot be applied directly to incompressible ows because the governing equations are not hyperbolic. Such methods can be extended to steady incompressible ows using an arti cial compressibility scheme. A time-accurate scheme for unsteady incompressible ows is achieved by using an implicit real-time discretization and a dual-time approach, which uses a technique similar to the arti cial compressibility scheme. Results are presented for test cases on both xed and deforming meshes. Ex- perimental, numerical and theoretical data have been included for comparison where available and reasonable agreement has been achieved