In physical systems theory, graph-based modelling has become the basis of a wide range of formulation and analysis problems involving physical balance equations eg, power, energy, force, etc. The realization of a mathematical set of constraints from the topological structure of a physical system is often based on an implicit symbolic procedure which often has little to do with the computational implementation. In this article, we present the HolorGraphic modelling (HGM)framework, a formal framework for the symbolic-numeric representation of interconnectivity structure and relations in modelling a generic multibody system. Within this framework, we propose a new analytical methodology for the study of the computational realization of models for multidimensional systems.