Entropy Production and the G-scheme

Spatially homogeneous batch reactor systems are characterized by the simultaneous presence of a wide range of time scales. When the dynamics of such reactive systems develop very-slow and very-fast time scales separated by a range of active time scales, with large gaps in the fast/active and slow/active time scales, then it is possible to achieve multi-scale adaptive model reduction along-with the integration of the governing ordinary differential equations using the G-Scheme framework. The GScheme assumes that the dynamics is decomposed into active, slow, fast, and when applicable, invariant subspaces. We computed the contribution to entropy production by the four subspaces, with reference to a constant volume, adiabatic reactor. The numerical experiments indicate that the contributions of the fast and slow subspaces are much smaller than that of the active subspace.