Many important scientific and engineering problems are studied using Cellular Automata (CA) models. Mathematical formulae with component-based modeling concepts are used to specify CA models. Computer simulation tools support viewing the dynamics of CA simulation models. Existing approaches with their tools are restrictive from visual model development perspective since models must be specified in programming languages or use pre-built models. In this paper, the novel concept of spatial-specialization CA modeling is developed and introduced into CoSMoS (Component-based System Modeler and Simulator) - a logical, visual, and persistence modeling and simulation framework. Modelers can visually create and manipulate structures of a family of hierarchical component-based CA models. The tool supports persistent models and semi-automatic parallel DEVS-based simulation code.