An arbitrary Lagrangian-Eulerian finite element scheme for viscous sloshing in one phase

LAURA BATTAGLIA; MARIO ALBERTO STORTI; EZEQUIEL JOSÉ LÓPEZ; MACELA CRUCHAGA

Chicago

Conferencia; 20th International Conference on Fluid Flow Problems FEF 2019; 2019

International Association on Computational Mechanics

A single-phase arbitrary Lagrangian-Eulerian scheme is used for solving two- and three-dimensional sloshing problems with small to moderate displacements, where the free surface is a contour of the domain. The procedure consists of solving three instances: (i) the Navier Stokes equations for a viscous incompressible Newtonian fluid; (ii) the transport of the free surface; (iii) the mesh movement due to the modified shape of the domain. The first two instances are solved with stabilized finite elements, while the third one is performed here with a specific computational mesh dynamics strategy, previously developed for diferent applications. The methodology has been improved with a global mass conserving stage in order to simulate three-dimensional long time sloshing. The method is used to solve sloshing problems that are have been experimentally studied and solved with other numerical methods, as well as other cases of interest.