Singularity formation in a cylindrical and a spherical vortex sheet

被引：15

作者：

Nitsche, M ^{[1
]}

机构：

[1] Univ New Mexico, Dept Math & Stat, Albuquerque, NM 87131 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2001年 / 173卷 / 01期

基金：

美国国家科学基金会;

关键词：

vortex sheet; singularity formation; axisymmetric vortex sheets;

D O I：

10.1006/jcph.2001.6872

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The evolutions of the planar and axisymmetric vortex sheets generated by the impulsive motion of a cylinder and a sphere, respectively, are compared numerically. The numerical method addresses difficulties that occur in the axisymmetric case near the axis of symmetry. The planar vortex sheet is known to develop a branch point singularity in finite time. Comparison of the planar and axisymmetric solutions indicates that the axisymmetric sheet develops a branch point singularity as well. and that it is of the same order p as the planar singularity. The value of p is consistent with 3/2. (C) 2001 Academic Press.

引用

页码：208 / 230

页数：23

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