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HYDROcontest is a challenge open to students from 13 universities from all over the world. The aim of the competition is to design the motorboat that best fulfills the tradeoff between high speed and low energy consumption. In order to optimize the shape of the hydrofoils sustaining the boat, suitable Computational Fluid Dynamics models and parallel simulations were employed. The variational multiscale (VMS) model proposed by Bazilevs et al. (2009) was linearized by means of a Newton method, discretized in time through a fully-implicit scheme, transformed into a dimensionless form and implemented in C++, using the Finite Elements library LifeV.
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in vivo'' measures are troublesome to obtain. Moreover, allowing completely controlled simulations, CFD can eventually provide a useful paradigm for clinical practice, for instance suggesting optimal strategy for a surgeric operation. par However, the study of biological systems is a difficult task not only from the numerical viewpoint, but also in the modeling phase. Indeed, different systems interact each other at mechanical or biochemical level. Therefore, making a hierarchy of simplifications in the models considered is almost always mandatory. These notes illustrate some specific features of the blood flow problem, in the case of
large'' vessels, where the atherosclerotic plaques are localized. In particular, the interaction between blood and compliant vessel walls is of upmost interest. The purpose is to review shortly the existing literature on the field (limitedly to the most genuine mathematical aspects) and mention a first contribution from our side to the modeling of blood-wall interaction and its numerical simulation.