中文摘要：

Kershaw格式是在四边形结构网格上求解扩散方程的一种经典格式．基于对Kershaw格式中“流”的深入理解，将其拓展到包含非结构点的多块结构网格，分别推导退化非结构点和强化非结构点情况下的Kershaw格式，拓展的Kershaw格式满足流连续条件．三个数值算例的计算结果与精确解吻合得很好，表明将Kershaw格式拓展到多块结构网格的正确性和有效性．

英文摘要：

Based on physical flux Kershaw scheme is extended to muhi-block grids 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 muhi-block grids.