A modular representation of asynchronous, geometric solvers

The representation of complex systems requires the ability to combine several types of models. The simultaneous use of different formalisms to describe distinct aspects of the same system enables the most adequate representation of each sub-model. Although a large number of numerical methods and modeling formalisms have been developed, a common language that enables these algorithms and formalisms to interoperate is still a major research challenge. In previous work we have developed a representation for several families of models using the Heterogeneous Flow Systems Specification (HFSS). In this paper we extend this set of models by providing a description of geometric ODE solvers in HFSS. Geometric solvers play an essential role for simulation 2nd order energy preserving systems, offering an alternative to the decomposition of systems into 1st order Ordinary Differential Equations (ODEs). This latter approach, although commonly used in nowadays M&S software, is not acceptable when long simulation runs are required. We show that the HFSS representation enables the interoperability of geometrical solvers with other families of models enhancing the ability to represent complex systems.