Although many numerical models based on different fuel cell stack designs have been developed in past decades, most of the achieved optimized results are greatly dependent on the specific designs, cell numbers and geometric values. Achieving the general relationship between the structure features and distribution trends of key physics items, that is independent on the specific design would be high instructive. To achieve high volumetric/gravimetric power density and simple manufacturing process, both fuel and air manifolds of a solid oxide fuel cell (SOFC) stack are always designed to place within cell plane zone and penetrated through it; and open outlet manifold is also adopted. In this study, the three dimension large scale multi-physics numerical model for a typical SOFC stack with the above two design features is well completed by carefully coupling momentum, mass, energy and quasi electrochemical reaction equations. Then, the general relations between these structure features and the physics field distribution characteristics (i.e., flow, species and temperature) are investigated and further ensured by fluid dynamics theory analysis. The conclusions could be highly instructive for the experimental design of practical fuel cell stacks.