Physics-informed Neural Networks for Reduced Order

il y a 3 jours

Lommel, Belgique Studenten Temps plein

**Onderneming**:
**Flanders Make**:
Flanders Make is the strategic research centre for the manufacturing industry. Our mission is to strengthen the long-term international competitiveness of the Flemish manufacturing industry. That’s why we work together with SMEs and large companies on pre-competitive, industry-driven technological research, resulting in concrete product and production innovation in the vehicle industry, the manufacturing industry, and production environments.

**Functie**:
**Goal of the internship**:
Figure 1. A snapshot of velocity field of fluid flow passed a cylinder obtained from high-fidelity simulation

and neural network-based ROM [4]

This thesis topic is aimed at investigating and expanding PINN-based ROM, for simulation of transient heat transfer and/or vibrational problems. The focus will be on proper definition of the basis functions and novel neural network architectures dedicated to these problems. The physics-informed extreme learning machine [3] will be considered as an alternative for ROM and its efficiency will be evaluated. The developed techniques can be initially verified using simplified problems with close form solutions, and then evaluated for more complex problems against their finite element simulations.

The thesis outcome will provide valuable input for development of simulation toolboxes required for online monitoring and digital twining purposes, e.g. for in-process monitoring of additive manufacturing using thermal data [8] or dynamic system identification and fault diagnosis using vibrational data [9].

Figure 2. Comparison of experimental and real time PINN results of temperature field corresponding to metal additive manufacturing process [8]

**Profiel**:
**Profile Student**:

- Bachelor degree in Applied Computer science, or engineering;
- Who is familiar with the basics of machine learning and neural networks, Who has the relevant programming skills;
- Passionate by research and new technologies, and about development of physics-informed neural networks;
- Result oriented, responsible and proactive;
- A good communicator, able to communicate in English;
- Eager to learn and a team player.

**Aanbod**:
**Practical Data**:

- Thesis: This assignment for a master thesis for a Belgian university.

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