A SCHEME FOR CONSERVATIVE INTERPOLATION ON OVERLAPPING GRIDS

This paper describe show to interpolate in a conservative manner when solving systems of conservative laws on overlapping grids. Overlapping grids are a flexible and efficient way to create grids for complicate d regions. Before now, however, no general method bad been developed f or conservative interpolation. The basic idea consists of assuming tha t the interpolation coefficients are free parameters and then deriving constraints to ensure that the interpolation is conservative. A syste m of equations is then solved to determine the coefficients. A two-dim ensional viscous Burger's equation is solved to demonstrate the conser vative nature of the scheme.