Abstract: Based on physical flux Kershaw scheme is extended to multi-block glids and algorithms for degenerative connection or strong connection unstructured points are shown.Flux continuity condition is met in the extended Kershaw scheme on multi-block girds which keeps energy conservation.Three numerical examples show good agreement with exact solutions. It validates accuracy and robustness of the extended Kershaw scheme on multi-block grids.

Key words: inertial confinement fusion, diffusion equation, Kershaw scheme, multi-block structured grids, unstructured points