@Article{AAMM-11-619,
author = {Su , W. D. and Tan , Y.},
title = {Stream Helicity in Toroidal Domains},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2019},
volume = {11},
number = {3},
pages = {619--629},
abstract = {<p style="text-align: justify;">As the analogue of helicity, the concept of stream helicity proposed in 2007 provides a quantitative measurement for entanglement of streamlines for an incompressible flow field or magnetic field lines for a magnetic field. It is found that the helical-wave decomposition can serve as a convenient mathematical physics tool for the calculation of helicity and stream helicity. However, for a multiply connected domain such as a torus under the background of TOKAMAK, the analysis presents some peculiarities due to the nature of multiple-value of some involving potentials. Here we give a full derivation of stream helicity for such a case, together with some detailed analysis. Particularly, it is found that a maximum of absolute helicity under prescribed energy could be attained by a pure potential field.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2018.s06},
url = {http://global-sci.org/intro/article_detail/aamm/12985.html}
}