@TechReport{	  it:2007-029,
  author	= {Jing Gong and Jan Nordstr{\"o}m and van der Weide, Edwin},
  title		= {A Hybrid Method for the Unsteady Compressible
		  {N}avier-{S}tokes Equations},
  institution	= {Department of Information Technology, Uppsala University},
  department	= {Division of Scientific Computing},
  year		= {2007},
  number	= {2007-029},
  month		= oct,
  abstract	= {A hybrid method composed of finite difference-finite
		  difference and finite difference-finite volume schemes for
		  the time-dependent Navier-Stokes equations has been
		  developed. A detailed analysis of the stability of the
		  proposed algorithms, paying special attention to the
		  stability of the interfaces between the subdomains is
		  performed. We prove that the interface coupling is stable
		  and conservative. This techniques makes it possible to
		  combine the efficiency of the finite difference method and
		  the flexibility of the finite volume schemes. We exemplify
		  the procedure by using finite difference methods. The
		  computational results corroborate the theoretical
		  analysis.}
}