主催: 日本学術会議 「機械工学委員会，土木工学・建築学委員会合同IUTAM分科会」
共催: 応用物理学会, 化学工学会, 自動車技術会, 地盤工学会, 土木学会, 日本応用数理学会, 日本風工学会, 日本機械学会, 日本気象学会, 日本計算工学会, 日本計算数理工学会, 日本建築学会, 日本原子力学会, 日本航空宇宙学会, 日本混相流学会, 日本地震工学会, 日本数学会, 日本船舶海洋工学会, 日本伝熱学会, 日本物理学会, 日本流体力学会, 農業農村工学会
In this article, we propose to use corrected pressure Poisson equation (PPE) and corrected pressure boundary conditions with the explicit Runge-Kutta (eRK) schemes for the computation of unsteady incompressible flows. In the previous studies, the projection method of Chorin's type have been used with the eRK schemes. It is pointed out for these schemes that the pressure reconstructed from scaler function suffers from decreased temporal accuracy because these schemes do not satisfy additional order conditions required to the coefficients of RK schemes. We show in the present study that for the proposed eRK-PPE method, the difference in the coefficients of RK schemes changes the divergence correction terms of the PPE and the term which approximates the normal component of the local acceleration at the boundaries.
