@TechReport{	  it:2011-012,
  author	= {Jens Lindstr{\"o}m and Jan Nordstr{\"o}m},
  title		= {Stable {R}obin Boundary Conditions for the
		  {N}avier-{S}tokes Equations},
  institution	= {Department of Information Technology, Uppsala University},
  department	= {Division of Scientific Computing},
  year		= {2011},
  number	= {2011-012},
  month		= apr,
  abstract	= {In this paper we prove stability of Robin solid wall
		  boundary conditions for the compressible Navier-Stokes
		  equations. Applications include the no-slip boundary
		  conditions with prescribed temperature or temperature
		  gradient and the first order slip-flow boundary conditions.
		  The formulation is uniform and the transitions between
		  different boundary conditions are done by a change of
		  parameters. We give different sharp energy estimates
		  depending on the choice of parameters.
		  
		  The discretization is done using finite differences on
		  Summation-By-Parts form with weak boundary conditions using
		  the Simultaneous Approximation Term. We verify convergence
		  by the method of manufactured solutions and show
		  computations of flows ranging from no-slip to substantial
		  slip.}
}