Mathematical Modeling and Optimization in Dynamic systems - Outlines

--- tags: Mathematical modeling and optimization title: Mathematical Modeling and Optimization of Dynamic systems - Outlines --- # Mathematical Modeling and Optimization of Dynamic systems ## Content ### [Preface -- Modeling of an Engineering System](https://hackmd.io/@SamuelChang/B1N9CUK50) ### [1. The hands-on mathematical Tools](https://hackmd.io/@SamuelChang/HyYEDLgq6) - [1.1 Data handling and modeling](https://hackmd.io/@SamuelChang/BJvSwOEFa) - [1.2 Root finding of equations](https://hackmd.io/@SamuelChang/HJS5z3UE6) - [1.3 Derivation of variables and the differential equations](https://hackmd.io/@SamuelChang/B1SmphFYp) - [1.4 Numerical handling for differential equations](https://hackmd.io/@SamuelChang/HyCeyhTKp) - [Tutorials: Approaching ODE and PDE solutions](https://hackmd.io/@SamuelChang/ry6YAmsKyg)  ### [2. Fundamental principles in mechanical systems](https://hackmd.io/@SamuelChang/r1fpgt7yC) - [2.1 Analyzing mechanical systems](https://hackmd.io/@SamuelChang/B1ZgZma26) - [2.2 Analysis of continua](https://hackmd.io/@SamuelChang/H1wbZ67T6) - [2.3 Dynamic and steady state representations](https://hackmd.io/@SamuelChang/rkFgqal1R) - [Tutorials: Generic multi-body and FVM analysis](https://hackmd.io/@SamuelChang/SJidv9f26) ### [3. Selected concepts in the incompressible flow dynamics](https://hackmd.io/@SamuelChang/rywb2bNqC) - [3.1 Dynamics in hydrostatic and hydraulic systems ](https://hackmd.io/@SamuelChang/HJdIOSlIxg) - [3.2 Disciplines in Hydrodynamics](https://hackmd.io/@SamuelChang/B1rJ7wwy0) - [3.3 Boundary layer phenomena and aerodynamic applications](https://hackmd.io/@SamuelChang/HJ7jbsKZA) - Tutorials: Turbine performance analysis and ### [4. Applications in Thermo- and Gas Dynamics](https://hackmd.io/@SamuelChang/HyLA6DQDll) - [4.1 Thermodynamic properties](https://hackmd.io/@SamuelChang/ryCLgGBNC) - [4.2 Selected characteristics for internal gas dynamics](https://hackmd.io/@SamuelChang/rJXo3WlvR) - Tutorials: Interior ballistics of a barrel ### [5. Optimization process](https://hackmd.io/@SamuelChang/BkZ85aj36) - [5.1 Fundamental concepts in optimization process](https://hackmd.io/@SamuelChang/rklWTJi56) - [5.2 Parameter fitting and Least square method](https://hackmd.io/@SamuelChang/Syp--WuVT) - [5.3 Heuristic optimization methods](https://hackmd.io/@SamuelChang/ryi9KTGo6) - [5.4 Coupling dynamic models to optimization process](https://hackmd.io/@SamuelChang/H1rHrllna) - Tutorials: Wind data analysis and extreme gust prediction ### [Outlook -- Leveraging the product specified computational models](https://hackmd.io/@SamuelChang/BksBwxAi0) ### Practical Scenarios (tbd) - Scenario I: Custody gas measurement and Rotary meter (coop. with Honeywell-Elster / PTB) - Scenario II: Inflation mechanism of an airbag system (coop. with Joyson Safety system) - Scenario III: Airbag and the restraint system (coop. with Joyson Safety system) - Scenario IV: Blade Element theory in wind turbine blade optimization (coop. with TPI Composities) - Scenario V: Turbine Meter and the rotational system (coop. with Honeywell-Elster / PTB)