Abstract

In many fluid-structure interaction problems, the virtual mass, namely, the added mass is one of important interests. In the present study, we have proposed a simple method to specify the added mass coefficient of sphere. In this method, We consider three-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 Brinkmann equations. The solving method is based on a discrete singularity method (referrd to as DSM).In order to show the method's effectivity and validity, we compare DSM'results to theoretical solution and experimental value. As a result, we confirm the validity of the DSM method for three-dimensional body.

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