Abstract We deal with the numerical solution of the system of the compressible (laminar) Navier-Stokes equations with the aid of the discontinuous Galerkin method. Particularly, we employ the so-called interior penalty Galerkin (IPG) discretizations, namely symmetric, non-symmetric and incomplete variants. We described the space semi-discretization and discuss the choice of stabilization terms. Then a set of numerical experiments, demonstrating the stability, convergence and accuracy of the method are presented.


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