TY - JOUR
T1 - A Two-Dimensional Second Order Conservative Front-Tracking Method with an Original Marker Advection Approach Based on Jump Relations
AU - Tavares , Mathilde
AU - Koffi-Bi , Désir-André
AU - Chénier , Eric
AU - Vincent , Stéphane
JO - Communications in Computational Physics
VL - 5
SP - 1550
EP - 1589
PY - 2020
DA - 2020/03
SN - 27
DO - http://doi.org/10.4208/cicp.OA-2019-0028
UR - https://global-sci.org/intro/article_detail/cicp/15769.html
KW - Front-tracking, marker velocity reconstruction based on jump relations, multiphase flow, volume conservation, second order accuracy.
AB - <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>