Development of a high-order discontinuous Galerkin method for the DNS and LES of natural convection flows in buildings.

This paper discusses the use of a high-resolution code based on the discontinuous Galerkin method (DGM) for the direct numerical simulation (DNS) of natural convection flows in buildings. The high order of ac-curacy, combined to geometric flexibility and paral-lel scalability of DGM, provide - on paper - an ideal method for this type of simulation. Irrespective of whether this type of simulation is required for build-ing design today, it is interesting to see already now how the DGM, compares to state of the art commer-cial solvers, as unsteady scale-resolving approaches will pervasive in the future. DGM computations on the ADNBATI benchmark are compared to DNS and URANS simulations performed by a state of the art commercial solver.