粘性流体中の振動物体に作用する付加質量に関する数値解析

概要

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In many fluid-structure interaction problems, the virtual mass, namely, the added mass is one of important interests. In the present study, the authors investigate the validity of a numerical method previously proposed by them in order to specify the added mass coefficient of arbitrary two-dimensional solid bodies efficiently and conveniently. In this 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 the Brinkman equations. The solving method is based on a discrete singularity method. In order to show the methods effectivity and validity, the authors compute some flows around the bodies with fundamental cross sections with/without sharp edges, which oscillate in infinite flow fields. In addition, the authors solve the full Navier-Stokes equations by a finite difference method, and compare with each other to specify the valid range of the method. Then, the authors confirm the nonliner amplitude effect and specify the valid range for the method.