2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137218This paper presents a novel mesh-update technique for unsteady free-surface Newtonian flows using spectral element method and relying on the arbitrary Lagrangian--Eulerian kinematic description for moving the grid. Selected results showing compatibility of this mesh-update technique with spectral element method are given.Soft Condensed Mattertext