三次元格子渦法による密度成層流の解析

概要

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The vortex method is advantageous to high-Reynolds number flows and its algorithm is relatively simple. However, the number of vortices increases with time and the calculation load of velocties by the Biot-Savart law becomes very large. The authors propesed Lattice Vortex Method (LVM) to accelerate the calculation and to perform numerical analysis stably. The vorticity is not always conserved in the calculation by the conventional finite difference method and the conservation of vorticity is one of the crucial points in numerical flow analysis. In our lattice vortex method (LVM), the vorticity and the density are conserved because those are moved and distributed on cells by Lagrangian scheme. In this paper, lattice cortex method was extended for three-dimensional flow analysis, the vorticities were expressed by vortex rings arranged on the cell sides of the grid to avoid the treatment on the end of vortex lines and Lagrangian scheme was used to preserve the mass and vorticities. The propagation of internal waves was grasped fairly good in three-dimensional stratified flow by LVM.
社団法人日本機械学会の論文
2000-06-25