Numerical modelling of 3D sloshing experiments in rectangular tanks

BATTAGLIA, LAURA; CRUCHAGA, MARCELA; STORTI, MARIO; D?ELÍA, JORGE; NÚÑEZ AEDO, JONATHAN; REINOSO, RICARDO

APPLIED MATHEMATICAL MODELLING

ELSEVIER SCIENCE INC

Lugar: Amsterdam; Año: 2018

0307-904X

This work encompasses numerical and experimental studies of three-dimensional (3D) sloshing problems. The two-fluid viscous flow, which is solved within a stabilized finite element context, involves liquid and gaseous phases. The free surface is captured with a level set (LS) method, including the bounded renormalization with continuous penalization technique, to avoid the well-known spreading of the marker function. Specifically, this technique is improved with a volume- preserving algorithm for long-term analyses. To verify the numerical model, the responses of free-sloshing cases are {compared} with analytical solutions and other results computed using a Lagrangian technique. These simulations assess the influence of considering two- dimensional (2D) and 3D analyses, as well as the effects of depth and viscosity. This work presents data obtained from a forced sloshing experiment that is specifically devoted to 3D free-surface behaviour. Free-surface evolution measurements are used to validate the numerical method. Moreover, the effect of the initial conditions used to promote 3D behaviour in the modelling is evaluated.