An Arbitrary Lagrangian-Eulerian Finite Element Scheme for Viscous Sloshing in One Phase

BATTAGLIA, LAURA; STORTI, MARIO; LÓPEZ, EZEQUIEL; CRUCHAGA, MARCELA

Chicago

Congreso; 20th International Conference on Fluid Flow Problems (FEF-2019); 2019

U. S. Association for 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 [1]: (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 different applications [2]. 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 [3], as well as other cases of interest. References: [1] Battaglia, L.; D´Elía, J.; Storti, M. A., "Numerical simulation of sloshing in liquid storing tanks by an arbitrary Lagrangian-Eulerian strategy", Rev. Int. Mét. Num. Cálc. y Dis. en Ing.,28(2), pp. 124--134, doi:10.1016/j.rimni.2012.02.001. [2] López, E.J.; Nigro, N.M.; Storti, M.A., "Simultaneous untangling andsmoothing of moving and fixed grids", Int. J. Numer. Meth. Engng., 76:994-1019. doi:10.1002/nme.2347, 2008. [3] Battaglia, L.; Cruchaga, M.;Storti, M.; D´Elía, J., "Numerical modelling of 3D sloshing experiments in rectangular tanks", Appl. Math. Modell., 59: 357-378, doi:10.1016/j.apm.2018.01.033, 2018. Acknowledgement: The authors thank the support given by CONICET, PIP-112-2015-0100588; UNL, CAI+D 504-201501-00112-LI; UTN, PID 4827; ANPCyT,PICT-2014-2660, PICT-E-2014-0191, PICT-2016-0640; FONDECYT 1170620; Red CADING CYTED 516RT0512.