MOX Report on Implicit DG solver for the incompressible Navier-Stokes equations

A new MOX report entitled “An efficient and accurate implicit DG solver for the incompressible Navier-Stokes equations” by Giuseppe Orlando, Alessandro Della Rocca,  Paolo Barbante,  Luca Bonaventura and Nicola Parolini has appeared in the MOX Report Collection.

The report can be donwloaded at the following link:


Abstract: We propose an efficient, accurate and robust implicit solver for the incompressible Navier-Stokes equations, based on a DG spatial discretization and on the TR-BDF2 method for time discretization. The effectiveness of the method is demonstrated in a number of classical benchmarks, which highlight its superior efficiency with respect to other widely used implicit approaches. The parallel implementation of the proposed method in the framework of the deal.II software package allows for accurate and efficient adaptive simulations in complex geometries, which makes the proposed solver attractive for large scale industrial applications.