格子渦法による粘性流の解析に関する研究〔流体工学, 流体機械〕

概要

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Lattice vortex method by introducing virtual vortices has been proposed in this paper. In our method, a staggered lattice for the velocity and the vorticity is used and the virtual vortices are placed to approximate the velocity field obtained by the Biot-Savart law. Velocity field can be determined by calculating only the induced velocities from the neighboring vortices. This point is completely different from the conventional method using the Biot-Savart law and the calculation time was almost half compared to that of using the Biot-Savart law. The discretization error of our method is proved to be the second-order by taking an adequate distribution of the vortices and the result of calculations of Burgers' equation agrees well with the theoretical solution. The calculation result of a cavity flow shows a good agreement with the result obtained by the conventional finite difference method. The lattice vortex method is shown to be useful for not only outer flows but also inner flows.
社団法人日本機械学会の論文
1997-10-25