2 papers
physics.flu-dyn2026
The PICNN-Assisted Physics-Preserving Scheme for Thermodynamically Consistent Two-Phase Flow in Porous Media
Yuanshuo Kong, Xue Wang, Yujing Yan
In this paper, we develop a physics-informed convolutional neural network (PICNN) assisted physics-preserving method for a thermodynamically consistent model of incompressible and…
math.NA2026
A unified framework of fully decoupled, bound-preserving and energy-dissipative schemes for two-phase flow in porous media
Xiaoli Li, Cheng Wang, Yujing Yan +1
Developing high-order numerical schemes for two-phase flow in porous media that preserve key physical properties remains a significant challenge in numerical analysis. In this arti…