DIANA - An object-oriented tool for nonlinear analysis of chemical processes

摘要: Chemical production processes often show a strongly nonlinear behaviour. Understanding, controlling, or even exploiting this behaviour can improve the productivity and safety of process. Numerical bifurcation analysis has become in last two decades well-established mathematical tool for process models. However, traditional packages, e.g., AUTO (D+02), are suitable only low order systems ODEs, whereas realistic chemical models comprise hundreds thousands differential equations. Continuation methods huge have been published, example, LOCA (S+02), DIVA (MKMG00), but restricted to continuation simple singularities, like limit points Hopf bifurcations. This dissertation focuses on dynamical described by differential-algebraic equation with applications engineering The objective thesis is develop software environmentDiana user-friendly interface dealing complex phenomena sciences. key aspects environment object-oriented models, an efficient numerical kernel, use scripting language Python as powerful-command line interface. Models created based modeling ProMoT (TZGG00), that allows build Different algebraic solvers implemented Diana, existing third party open-source code be applied model depending special properties model. suite presented steady-state continuous systems, singularities higher codimension, periodic solutions. treat high-dimensional help reduction methods, like, Lyapunov-Schmidt (GS85) singularity analysis, recursiveprojection method (SK93) required derivatives obtained analytically via computer