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physics.comp-ph2026
A Structure-Preserving Graph Neural Solver for Parametric Hyperbolic Conservation Laws
Jiamin Jiang, Shanglin Lv, Jingrun Chen
Hyperbolic conservation laws govern a wide range of transport-driven dynamics featuring shocks, contact discontinuities, and complex wave interactions, posing distinct challenges f…
physics.comp-ph2024
Graph Convolutional Networks for Simulating Multi-phase Flow and Transport in Porous Media
Jiamin Jiang, Bo Guo
Numerical simulation of multi-phase fluid dynamics in porous media is critical for many energy and environmental applications in Earth's subsurface. Data-driven surrogate modeling…