DISCRETE MODELING OF CONSERVATIONAL PROCESSES WITH DISTRIBUTED PARAMETERS BY DIRECT MAPPING

In our previous paper a possible theoretical framework was proposed fo r the structure based modelling of the conservational processes with l umped parameters. The direct mapping of the studied conservational pro cesses onto a descriptive computer programme eliminates the many-fold transformation of individual model building, from the cognitive model via the mathematical construct and the numerical algorithm to the comp uter programme. Recently the transformation of the continuous models o f distributed parameters to an approximate discrete one has been studi ed. In the derivation of the lumped model from the distributed one the most interesting problem is the clear distinction between the adequac y and the accuracy. The refinement of the discrete model (i.e. the inc rease of the cell number) should be accompanied by the adjustment of t he model parameter expressing the prescribed degree of mixing. As a po ssible solution the measure theoretical foundation of the discretizati on has been combined with a degree of mixing [10]. It follows that the cell model with convective mixing is an adequate representation of th e flows, as well as of the mixing in the new modelling methodology. Th e theoretical issues and the methodology of direct mapping are illustr ated by a simple example of a tubular reactor with consecutive reactio ns.