High-order linearly implicit two-step peer schemes for the discontinuous Galerkin solution of the incompressible Navier-Stokes equations

The reliability, robustness and accuracy of the proposed implementation have been assessed by computing the Prothero-Robinson example, the laminar travelling waves solution on a doubly periodic unit square domain and the laminar flow around a circular cylinder for a Reynolds number Re=100. Travelling waves and cylinder testcases have been also modified to investigate the behaviour of the schemes with time-dependent boundary conditions. In the former case replacing periodic boundary conditions with given boundary condition based on the analytical solution, while in the latter case considering a rotating cylinder.