Train a Physics-Informed Neural Network for Heat Transfer in a Battery Pack
Overview
What this challenge is about.
Solve the 2D unsteady heat-conduction equation on a square cell cross-section with a localized source and Dirichlet boundary conditions on the casing. Implement a baseline finite-difference solver (or use a small open-source FEniCS/scikit-fem setup) as ground truth. Then train a PINN where the loss combines residual of the partial differential equation (PDE), boundary loss, and initial-condition loss. Compare on root mean squared error in the temperature field at three time slices plus wall-clock training and inference time. Document where the PINN struggles (sharp gradients, stiff sources) and where it shines. Wrap up in a 3-page report with go/wait/no-go on funding a full R-and-D track.
The Brief
What you'll do, and what you'll demonstrate.
Demonstrate whether a PINN can match a numerical baseline on a 2D unsteady heat-conduction problem with practical accuracy and a useful runtime profile.
Earning criteria — what you'll demonstrate
- Implement and train a physics-informed neural network on an unsteady PDE
- Diagnose PINN failure modes (loss balancing, stiff sources)
- Compare a learning-based solver to a classical numerical baseline fairly
- Write an R-and-D recommendation grounded in measured trade-offs
Program Fit
Where this fits in your program.
Sharpens the same skills your degree expects you to demonstrate.
Skills
Skills you'll demonstrate.
Each one shows up on your verified credential.
Careers
Roles this prepares you for.
Real titles. Real skill bridges. Pick the one closest to your trajectory.
Career paths this builds toward
Canonical rolesML Researcher
PINN implementation and an honest write-up of when it helps mirrors the day-one work of an ML researcher in an industrial scientific-machine-learning team.
This challenge sharpens
- physics-informed-neural-networks
- pytorch
- research-writing
Research Scientist
Comparing a learning method to a classical numerical baseline with proper ablations is the research-scientist's quality bar.
This challenge sharpens
- partial-differential-equations
- numerical-methods
- research-writing
Applied AI Scientist
Connecting a research method to a measurable engineering speedup is the applied-AI bridge into a simulation-heavy industrial team.
This challenge sharpens
- scientific-computing
- pytorch
- numerical-methods