Abstract
Tn many fluid-structure interaction problems, the virtual mass, namely, the added mass is one of important interests. In the present study, we investigate the validity of a method previously proposed by the authors in order to specify the added mass coefficients of arbitary two-dimensional bodies efficiently and conveniently. In the new method, we consider a two-dimensional incompressible viscous fluid under the assumption of an infinitesimal oscillation amplitude of the body, and properly modify the Navier-Stokes equations into linear equations, that is , the Brinkman equations. The solving method is based on a discrete singularity method (referred to as DSM). We solve the full Navier-Stokes equations by a finite difference method (referred to as FDM) to specify the valid range of the new method. Comparing such solutions we confirm the valid range for the DSM method.
