“…In this context of fixed discretizations, pioneering methods are Marker-and-Cell (MAC) [99,153] , Volume Of Fluid (VOF) [104,185] , pseudo-concentration [98,130,177,218], and Level Set (LS) [144,189,198]. Such techniques are extensively used to describe moving interfaces as well as many other related formulations [5,9,36,41,43,47,49,57,60,62,70,71,74,86,88,90,102,115,119,129,131,138,146,147,159,212,214,216,220].…”