How to Use a PINN for a Navier-Stokes Inverse Problem
Deep LearningHow to Use a PINN for a Navier-Stokes Inverse ProblemA from-scratch PyTorch build that recovers blood flow, viscosity, and wall shear stress in a narrowed artery from 40 noisy velocity readingsFerran AliaOctober 3, 202610 min readThe PINN's velocity field around the narrowing. The red rings are sensors, and the wall glows where the inferred wall shear stress is highest. This is model output, not the CFD reference.Build a PyTorch PINN that recovers blood flow, an unknown viscosity and wall shear stress in a narrowed artery from noisy sensor readings.Wall shear stress is the friction blood puts on the wall of a vessel.
- ▪Deep LearningHow to Use a PINN for a Navier-Stokes Inverse ProblemA from-scratch PyTorch build that recovers blood flow, viscosity, and wall shear stress in a narrowed artery from 40 noisy velocity readingsFerran AliaOctober 3, 202610 min r
- ▪The red rings are sensors, and the wall glows where the inferred wall shear stress is highest.
- ▪This is model output, not the CFD reference.Build a PyTorch PINN that recovers blood flow, an unknown viscosity and wall shear stress in a narrowed artery from noisy sensor readings.Wall shear stress is the friction blood puts on the wall o
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| Publication time | Sat, 03 Oct 2026 12:00:00 GMT |
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Deep LearningHow to Use a PINN for a Navier-Stokes Inverse ProblemA from-scratch PyTorch build that recovers blood flow, viscosity, and wall shear stress in a narrowed artery from 40 noisy velocity readingsFerran AliaOctober 3, 202610 min readThe PINN's velocity field around the narrowing. The red rings are sensors, and the wall glows where the inferred wall shear stress is highest. This is model output, not the CFD reference.Build a PyTorch PINN that recovers blood flow, an unknown viscosity and wall shear stress in a narrowed artery from noisy sensor readings.Wall shear stress is the friction blood puts on the wall of a vessel. It is tied to where plaque builds up, and it is hard to measure directly.
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