Thisis the proceedings of a conference held near Bordeauxin spring 2013. The main topic is high order methods for compressible fluid dynamics. This is a quite hot topic these days as seen from the number of publications in journals, conferences but also mini symposium organised in international conferences. A selection of the papers will be includedin the proceedings. The topic ranges from Discontinuous Galerin, finite element methods, Lagrangian hydrodynamics, finite difference methods andapplications to uncertainty quantification."