Premium
Distributed models in plantwide dynamic simulators
Author(s) -
Martinson W. S.,
Barton P. I.
Publication year - 2001
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690470614
Subject(s) - dynamic simulation , partial differential equation , context (archaeology) , computer science , boundary value problem , process (computing) , partial derivative , flow (mathematics) , algebraic equation , mathematical optimization , differential (mechanical device) , modeling and simulation , simulation , mathematics , nonlinear system , engineering , mathematical analysis , paleontology , physics , geometry , quantum mechanics , biology , operating system , aerospace engineering
Modeling support for dynamic simulation of chemical‐process flowsheets, which is of significant value for plantwide dynamic simulation using differential–algebraic model formulations, is to date very limited when one or more unit models include partial differential equations. Several new techniques that provide modeling support for such simulations are presented. These techniques are based on a generalized characteristic analysis and a differentiation index analysis of partial differential–algebraic models. They can be used to uncover systems that cannot be solved as part of a dynamic simulation, and to determine whether or not the initial and boundary conditions supplied by the modeler form a well‐posed problem. In a network flow context, they can further be used to select, enforce, and adapt the boundary conditions as required to maintain automatically a mathematically well‐posed problem. Each of these provides time‐saving support to the system modeler.