Abstract This article concerns the implementation of a Discontinuous Galerkin method for laminar and turbulent flow computations. The compressible Reynolds-averaged Navier-Stokes equations coupled with the k - ω turbulence model of Wilcox are discretized using the BR1 scheme [Bassi and Rebay, JCP, 131, 1997] on structured meshes with hexahedral elements and an explicit Runge-Kutta technique for the time integration. The boundary condition treatment is performed through a reconstruction of the solution at the physical boundary which avoids the use of a ghost cell technique. This method allows space discretization with overlapping and non-matching multidomains as well as high order polynomial approximations of the solution. Numerical results concern laminar and turbulent flow computations on two-dimensional and three-dimensional domains.


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