Abstract
Unsteady transonic flows and unsteady flows at very low Mach number with condensation are numerically. Investigated by using the preconditioned Roe scheme and the preconditioned LU-SGS scheme based on the preconditioning method and the condensation model. The present method is certainly applicable to the unsteady transonic flows. On the other hand, the unsteady flows at very low Mach number calculated by the preconditioning method should be carefully validated because of the artificial compressibility in the preconditioning method. In this paper, unsteady flows at very low Mach number around a circular cylinder with and without condensation are calculated and the unsteady results are compared with the existing experimental data. Finally, the extensity of the present method to the unsteady flow problems is discussed.