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A Fast and Generalizable Fourier Neural Operator-Based Surrogate for Melt-Pool Prediction in Laser Processing

About

High-fidelity simulations of laser welding capture complex thermo-fluid phenomena, including phase change, free-surface deformation, and keyhole dynamics, however their computational cost limits large-scale process exploration and real-time use. In this work we present the Laser Processing Fourier Neural Operator (LP-FNO), a Fourier Neural Operator (FNO) based surrogate model that learns the parametric solution operator of various laser processes from multiphysics simulations generated with FLOW-3D WELD (registered trademark). Through a novel approach of reformulating the transient problem in the moving laser frame and applying temporal averaging, the system results in a quasi-steady state setting suitable for operator learning, even in the keyhole welding regime. The proposed LP-FNO maps process parameters to three-dimensional temperature fields and melt-pool boundaries across a broad process window spanning conduction and keyhole regimes using the non-dimensional normalized enthalpy formulation. The model achieves temperature prediction errors on the order of 1% and intersection-over-union scores for melt-pool segmentation over 0.9. We demonstrate that a LP-FNO model trained on coarse-resolution data can be evaluated on finer grids, yielding accurate super-resolved predictions in mesh-converged conduction regimes, whereas discrepancies in keyhole regimes reflect unresolved dynamics in the coarse-mesh training data. These results indicate that the LP-FNO provides an efficient surrogate modeling framework for laser welding, enabling prediction of full three-dimensional fields and phase interfaces over wide parameter ranges in just tens of milliseconds, up to a hundred thousand times faster than traditional Finite Volume multi-physics software.

Alix Benoit, Toni Ivas, Mateusz Papierz, Asel Sagingalieva, Alexey Melnikov, Elia Iseli (1) __INSTITUTION_6__ EMPA, (2) Terra Quantum AG)• 2026

Related benchmarks

TaskDatasetResultRank
Computational RuntimeTransient LPBF Simulation Power 50W, Scan speed 0.260 m/s, Scan distance 0.6 mm
Runtime0.01
5
Melt-pool predictionLPBF 10um mesh simulation 1.0 (8-fold cross-validation test)
MAE0.0024
1
Melt-pool predictionFLOW-3D WELD 5 µm mesh super-resolved (test)
MAE0.0081
1
Metal-Gas interface predictionLPBF 10um mesh simulation 8-fold cross-validation 1.0 (test)
Abs. Mean Error0.0035
1
Metal-Gas interface predictionFLOW-3D WELD super-resolved 5 µm mesh (test)
MAE0.004
1
Temperature Field PredictionFLOW-3D WELD super-resolved 5 µm mesh (test)
Abs. Mean Error31.8
1
Temperature PredictionLPBF 10um mesh simulation 8-fold cross-validation 1.0 (test)
MAE18.3
1
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