Across four 3D benchmarks, the best eikonal weight for PINN level-set advection tracks how far the exact solution departs from a signed-distance function, spanning 10^-1 to 10^-5, while only two of four weights transfer unchanged from 2D.
Physics-informed neural networks for solving two-phase flow problems with moving interfaces, 2026
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Eikonal Regularisation in Physics-Informed Neural Networks for Three-Dimensional Level-Set Advection: Transferability of Two-Dimensional Design Principles
Across four 3D benchmarks, the best eikonal weight for PINN level-set advection tracks how far the exact solution departs from a signed-distance function, spanning 10^-1 to 10^-5, while only two of four weights transfer unchanged from 2D.