@TechReport{	  it:2002-012,
  author	= {Lars Ferm and Per L{\"o}tstedt},
  title		= {Accurate and Stable Grid Interfaces for Finite Volume
		  Methods},
  institution	= {Department of Information Technology, Uppsala University},
  department	= {Division of Scientific Computing},
  year		= {2002},
  number	= {2002-012},
  month		= mar,
  abstract	= {A convection-diffusion equation is discretized by a finite
		  volume method in two space dimensions. The grid is
		  partitioned into blocks with jumps in the grid size at the
		  block interfaces. Interpolation in the cells adjacent to
		  the interfaces is necessary to be able to apply the
		  difference stencils. Second order accuracy is achieved and
		  the stability of the discretizations is investigated. The
		  interface treatment is tested in the solution of the
		  compressible Navier-Stokes equations. The conclusions from
		  the scalar equation are valid also for these equations. }
}