Vector potential–vorticity relationship for the Stokes flows: application to the Stokes eigenmodes in 2D/3D closed domain
Vector potential–vorticity relationship for the Stokes flows: application to the Stokes eigenmodes in 2D/3D closed domain
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DOI：
10.1007/s00162-006-0037-7
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发表时间：
2006-10
影响因子：
3.4
通讯作者：
E. Leriche;G. Labrosse;G. Labrosse
中科院分区：
文献类型：
--
作者：
E. Leriche;G. Labrosse;G. Labrosse
Stokes流的非定常动力学，其中，证明了矢量势-涡度（）相关性，其中场是由定义的压力梯度矢量势。这种相关性分析的斯托克斯本征模，受到任何二维（2D）封闭轮廓或三维（3D）表面上的无滑移边界条件。本文建立了矢量位与涡度之间的渐近线性关系，并在区域的核心部分得到了验证，其中是一个常偏移场，可能为零。
The unsteady dynamics of the Stokes flows, where, is shown to verify the vector potential–vorticity () correlation, where the fieldis the pressure-gradient vector potential defined by. This correlation is analyzed for the Stokes eigenmodes,, subjected to no-slip boundary conditions on any two-dimensional (2D) closed contour or three-dimensional (3D) surface. It is established that an asymptotic linear relationship appears, verified in the core part of the domain, between the vector potential and vorticity,, whereis a constant offset field, possibly zero.