---
# System prepended metadata

title: Mathematical Modeling and Optimization in Dynamic systems - Outlines
tags: [Mathematical modeling and optimization]

---

---
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)
<!--- estimation theory ---> 

### [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)

