過度・流れ関数表示法による複数物体を過ぎる流れの数値計算

概要

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The vorticity-stream function formulation is extended and the velocity potential is introduced for calculating viscous flows along multiple bodies. The governing equations are, therefore, composed of the vorticity transport equation, the Laplace equation for the velocity potential and the Poisson equation for the stream function. The computational method is composed of the method of lines. The spatial discretization is carried out by the centered difference, and the time integration is dealt with by the rational Runge-Kutta method. The domain decomposition method is used for calculating flows along multiple bodies. It is shown that the inlet flow in a plane channel and the flows past a bank of cylinders as well as along a pair of cylinders are successfully calculated by the present method. Results shows an excellent agreement with calculations using the MAC method and the finite-element method.
一般社団法人日本機械学会の論文
1991-11-25