三次元流れの渦法とその離散化について

抄録

In the previous paper, the fundamental integral form of a vortex method in a three-dimensional fluid flow was derived from Navier-Stokes equations. Using this integral form, we attempt to (1) clarify the theoretical background of discrete vortex methods, such as the vortex stick method and the vortex element method, which have been used in many flow problems, and (2) propose a new type of vortex element which satisfies the solenoidal condition, i.e., a Gaussian ring-type. The velocity field of two vortons of a Gaussian element and a proposed Gaussian ring-type element are obtained and a numerical calculation is carried out to show their features clearly.