Higher-order methods in combination with reliable adaptation techniques are appropriate strategies to get an efficient tool for flow simulations. The higher order methods allow a better prediction of crucial flow phenomena, such as boundary layers including transition, vortical and turbulent flows and interaction phenomena. I will describe a novel class of explicit discontinuous Galerkin schemes which allow hp-refinement in the space-time domain, i.e., the order of accuracy as well as the size of the grid cells or time interval can locally be chosen according to the local behavior of the solution. An important building block is a time-consistent local-time stepping which permits that every grid cell runs with its own time step. Results of numerical simulations are shown for a jet flow in compex geometry. Extensions of the proposed time discretization method is outlined to the class of reconstructed DG schemes which contains DG and FV schemes as special members.