@Article{CiCP-26-389,
author = {Xiulei Cao and Huaxiong Huang},
title = {An Adaptive Conservative Finite Volume Method for Poisson-Nernst-Planck Equations on a Moving Mesh},
journal = {Communications in Computational Physics},
year = {2019},
volume = {26},
number = {2},
pages = {389--412},
abstract = {<p style="text-align: justify;">In this paper, we present a finite volume method for solving Poisson-Nernst-Planck (PNP) equations in one spatial dimension. To reduce computational cost, an
adaptive moving mesh strategy is employed in order to resolve thin Debye layers near
the boundary. In addition to the standard monitor functions, we propose two new
ones for the moving mesh partial differential equations to improve the accuracy of the
numerical solution. The method guarantees the strict mass conservation. We have
proved that the scheme maintains positivity on the adaptive moving mesh which has
not been done for PNP.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2018-0134},
url = {http://global-sci.org/intro/article_detail/cicp/13096.html}
}