渦法のための非定常圧力計算法

抄録

The vortex method has been applied to simulation of unsteady separated flow at a high Reynolds number. In the two-dimensional vortex method, unsteady pressure distribution over the surface of a body and fluid force are easily calculated from either the unsteady Bernoulli equation or the Blasius theorem expanded for unsteady flow. However, it is a crucial point that the estimation of the pressure distribution in the flow field compared to over the surface is rather difficult. Although, three-dimensional flow has recently been calculated by the vortex method, the above-mentioned methods for calculation of the pressure distribution are not applicable to three-dimensional flow. In this study, a simple method for solving Poisson's equation for pressure by the boundary element method is proposed in order to estimate the pressure distribution in the two-and three-dimensional vortex method. The pressure distributions around a circular cylinder and a sphere calculated with the proposed method are in good agreement with those obtained with the unsteady Bernoulli equation.