@Article{CiCP-27-5,
author = {Tavares, Mathilde and Koffi-Bi, Désir-André and Eric, Chénier and Vincent, Stéphane},
title = {A Two-Dimensional Second Order Conservative Front-Tracking Method with an Original Marker Advection Approach Based on Jump Relations},
journal = {Communications in Computational Physics},
year = {2020},
volume = {27},
number = {5},
pages = {1550--1589},
abstract = {<p style="text-align: justify;">A two-dimensional front-tracking method is developed for handling complex shape interfaces satisfying the volume conservation. In order to validate the proposed front-tracking method, a complete convergence study is carried out on several
analytical test cases for which the interface is widely stretched and deformed. Comparisons to different existing approaches show that our front-tracking method is second
order accurate in space with lower errors than existing interface tracking techniques of
the literature.<br/>We also propose an original marker advection method which takes into account the
jump relations valid at interface in order to deal with the contrast of physical properties
encountered in two-phase flow simulations. The conservative front-tracking method
computed in this work is shown to be able to describe interfaces with high accuracy
even for poorly resolved Eulerian grids.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2019-0028},
url = {https://global-sci.com/article/79803/a-two-dimensional-second-order-conservative-front-tracking-method-with-an-original-marker-advection-approach-based-on-jump-relations}
}