A simple prototype to translate Modelica code into DAE problems and solve them with a BDF2 integrator.

This project started as an offshot from MiniSim. Since I spend most of my academic time at the chair of Process Dynamics and Operation, I always had a latent interest in dynamic simulation.

At the current state of development, the DynamicModeling project provides a minimal IDE that allows the user to input (simple) Modelica models, which are parsed and translated into a general DAE problem. The DAE problem is then solved with an implicit Backwards Euler Method (simpler alternatives are also available) after it is partioned into a block-lower-triangular form by Dulmage-Mendelsohn Decomposition.

In this project, I learned a lot about the index problem, stiffness of DAEs, variable-step-size solvers and the numerical integration of implicit equation systems.