Hierarchical Component-Based Modeling with ModelingToolkit.jl | Rackauckas, Tiller | JuliaCon 2024 скачать в хорошем качестве

Hierarchical Component-Based Modeling with ModelingToolkit.jl | Rackauckas, Tiller | JuliaCon 2024

ModelingToolkit: https://github.com/SciML/ModelingTool... PreTalx: https://pretalx.com/juliacon2024/talk... Acausal modeling tools such as ModelingToolkit, Modelica, and Simscape are widely used for industrial modeling, simulated real-world phenomena such as hydraulic, HVAC, and multibody systems. In this tutorial we will dive into how to easily build large-scale high-fidelity models with ModelingToolkit and use its embedding within the Julia programming language in order to transform high level descriptions into simpler equations and simulate the resulting models with the tools of Julia's SciML. ModelingToolkit is the symbolic modeling layer of Julia's SciML. SciML covers many areas of numerical modeling and simulation, such as linear systems of equations, nonlinear systems of equations, differential equations, and optimization. Similarly, ModelingToolkit is a symbolic modeling language which covers the same interfaces and shuttles to the underlying numerical solvers. What makes ModelingToolkit interesting is its ability to allow for reusable component-based modeling and its ability to perform automatic simplification of the resulting equations. This allows for efficient hierarchical modeling, where libraries of components define items like engines and air compressors, and then modelers can easily build large models by connecting the existing physical components to generate composed models. The resulting composed model is then simplified to give a representation of he system that is fast to simulate, but without being slow to model. In this workshop we will showcase how to build steady state models, transient models, and optimization models. We will showcase the ModelingToolkitStandardLibrary as a source of pre-built components that can be used to quickly get started, and we will show how ModelingToolkit interacts with the growing set of tooling around it, including graphical user interfaces (GUIs), specialized solvers, and model analysis tooling. This includes: Moment closure expansions File readers for importing models (SBML, CellML) MathOptInterface special integrations for Optimization Structural identifiability analysis Linearization and much more.