Improved vortex methods for three-dimensional flows
Improved vortex methods for three-dimensional flows
复制标题
三维流动的改进涡流方法
DOI：
--
复制
发表时间：
1988
期刊：
影响因子：
--
通讯作者：
A. Leonard
中科院分区：
文献类型：
--
作者：
G. Winckelmans;A. Leonard
本文采用拉格朗日涡元，发展了三维不可压缩旋涡流的稳健数值方法。一个成功的方案必须能够以合理的精度（不发散）处理强烈的涡拉伸和涡重联区域。在这里，考虑的是涡流粒子，通常也称为涡或涡棒。讨论了下列问题：（1）δ函数单元的使用和涡量方程的弱解;（2）光滑单元的使用和光滑函数的选择;（3）粘性效应的表示和单元强度的重新分布;（4）守恒定律（它们是否满足？）。各种建议的计划已经过测试，涉及两个涡环之间的强烈相互作用的流动。
Robust numerical methods are developed for three-dimensional incompressible vortical flows, using Lagrangian vortex elements. A successful scheme must be able to handle regions of intense vortex stretching and vortex reconnection with reasonable accuracy (without diverging). Here, consideration is given to vortex particles, also commonly called vortons or vortex sticks. The following issues are discussed: (1) use of delta-function elements and weak solutions of the vorticity equation; (2) use of smoothed elements and the choice of the smoothing function; (3) representation of viscous effects and the redistribution of element strength; and (4) conservation laws (are they satisfied?). The various proposed schemes have been tested on flows involving a strong interaction between two vortex rings.