Abstract

A new method for the spatial discretization of complex multi-scale systems described by partial differential equations is presented. This method allows to preserve the global power balance equation and the geometric structure of the system. The modelling of the adsorption column is based on a network approach. The key notions are the energy function and the description of the power transfers within the system and through its boundaries with the help of a power-conserving geometric structure. The proposed discretization method preserves this geometric structure and is thermodynamically consistent.

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