ABSTRACT
Guillaume Jouvet Ecole Polytechnique Fe´de´rale de Lausanne, Institute of Analysis and Scientific Computing 1015 Lausanne, Switzerland
Marco Picasso Ecole Polytechnique Fe´de´rale de Lausanne, Institute of Analysis and Scientific Computing 1015 Lausanne, Switzerland
Jacques Rappaz Ecole Polytechnique Fe´de´rale de Lausanne, Institute of Analysis and Scientific Computing 1015 Lausanne, Switzerland
Free surface flows arise in numerous applications of many fields of physics or engineering. A list of applications includes (but is not limited to) fluid-
structure interactions for blow flow modeling [Guidoboni et al., 2009], [Quarteroni and Formaggia, 2003], bubbles flow [Bunner and Tryggvason, 2002a], [Kuzmin and Turek, 2004], [Sussman et al., 2007], mold casting [Caboussat et al., 2005], [Cummins et al., 2005], [Franc¸ois et al., 2006], [Maronnier et al., 1999], glaciers [Jouvet et al., 2009], [Jouvet et al., 2008], [Rappaz and Reist, 2005], [Picasso et al., 2004], visco-elastic material such as glue or honey [Bonito et al., 2006], [Shelley et al., 1997], or aluminum processes [Flu¨ck et al., 2009]. Among all these applications, the common denominators are certainly the complicated behavior of the interfaces between the different phases, and the non-trivial coupling between various physical models on each side of those interfaces.
