An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations

@article{Hartmann2008AnOO,
  title={An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations},
  author={Ralf Hartmann and Paul Houston},
  journal={J. Comput. Physics},
  year={2008},
  volume={227},
  pages={9670-9685}
}
In this article we propose a new symmetric version of the interior penalty discontinuous Galerkin finite element method for the numerical approximation of the compressible Navier-Stokes equations. Here, particular emphasis is devoted to the construction of an optimal numerical method for the evaluation of certain target functionals of practical interest, such as the lift and drag coefficients of a body immersed in a viscous fluid. With this in mind, the key ingredients in the construction of… CONTINUE READING

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