Abstract: A Cartesian mesh algorithm is developed for numerical solution of supersonic flows with arbitrarily complex and moving solid boundaries.The method defines and tracks fluid-solid interfaces with a level set function. Fluid-solid boundary condition is dealed with a ghost cell technique and is calculated separately in normal and tangential directions.The method proposed is simple,robust,and can work with high-order finite difference schemes.To validate the scheme,one-and two-dimensional numerical examples involving static or moving boundaries are included.

Key words: fluid-solid interface, Cartesian mesh, moving boundary, level set, shock wave