Mathilde Tavares

École Polytechnique · Laboratoire d'Hydrodynamique (LadHyX)

In this work, three classes of numerical methods are investigated to evaluate the mean curvature, the unit normal vector and the surface tension on a front tracking interface encountered in the simulation of multiphase flows with separated phases. The Laplace-Beltrami Operator discretization, the Integral Formulation of the surface tension and the...

Plusieurs problèmes qui nous entourent peuvent être associés à des écoulements diphasiques à phases séparées. A grande échelle, c'est le cas des problèmes environnementaux comme le déferlement des vagues. A plus petite échelle, on retrouve ces écoulements dans le domaine des transports terrestres, maritimes, aéronautiques et spatiaux comme l'inject...

Modeling and simulating multiphase flows still remain an exciting and stimulating scientific challenge. Many approaches were developed to describe the topological evolution of the interface. This paper remains in the domain of the Front-Tracking method [7,9], in which, in addition to the use of an Eulerian mesh to solve the Navier-Stokes equations...

A front-tracking method is developed with specic algorithms fo handling volume conservation and arbritray shape interfaces. We propose a marker advection method which takes into account the jump relation in order to deal with the jump of the physical properties at the interface for two-phase ow simulations. A comparison to dierent tracking approach...

Modeling accurately the energy transfer across the interface in multiphase flows is difficult. To deal with this phenomenon, the derivation of the governing equations for two-phase flows have been formulated. A priori tests are used in order to evaluate the relative magnitude of unclosed LES specific terms to multiphase flows. There consist in the...

ltering. Comput. Fluids, 37:898–906, 2008.; S. Vincent, L. Osmar, J.-L. Estivalezes, S. Zaleski, F. Auguste, W. Aniszewski, Y. Ling, T. Ménard, A. Pedrono, J. Magnaudet, J.-P. Caltagirone, and A. Berlemont. A phase inversion benchmark for multiscale multiphase flows. submitted to J. Comput. Phys., 2016.] is considered highlighting many coalescence...