### On the Rotational Behaviour of the Euler Equations at High Angles of Attack

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#### Abstract

This study investigates the Euler equations behavior at high angles of attack for a NACA 0012 airfoil. It was shown that the Euler equations could successfully predict the separation behavior under certain conditions. For this purpose, a logical analogy between the physical and numerical viscosities should be established. The produced vortices on the upper side of airfoil were clearly captured due to the fact that the Euler equations could admit rotational solutions. This fact is justifiable also by the Crocco’s theorem which relates the entropy change to the flow parameters. For flux treatment a novel pressure-based method was applied which has currently been developed for incompressible flows resulted in a wider stability and faster convergence. For marching in time, a fifth-order Runge-Kutta scheme has been used. The obtained results are compared with available data in the technical literature. *Copyright © 2013 Praise Worthy Prize - All rights reserved.*

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