Investigation of high-order temporal schemes for the discontinuous Galerkin solution of the navier-stokes equations

In this work different high-order temporal schemes, used to advance in time the DG space discretized equations, are investigated: the Explicit Singly Diagonally Implicit Runge Kutta (ESDIRK), the Modified Extended BDF (MEBDF), the Two Implicit Advanced Step-point (TIAS) and a Rosenbrock method. The proposed schemes are evaluated in terms of accuracy and efficiency for two unsteady test-cases: (i) the convection of an inviscid isentropic vortex and (ii) the laminar flow around a cylinder.