The main objective of the Colloquium is to bring together researchers with interest in theoretical, computational and applied aspects of high-order methods for the simulation of vortical and turbulent flows. A lot of progress could be achieved in this research field in recent years and it appears to be promising with respect to enlarge the possibilities for a reliable and efficient simulation of complex problems in fluid dynamics. The purpose of the meeting will be to discuss recent and current research and developments related to the subject defining the state of the art and opening up further possibilities for an intensifies European cooperation in the field.