5 papers
An Adaptive Subdomain Coupling Approach in Domain Decomposition for Multiphase Porous Media Flow
Shizhe Li, Li Zhao, Chen-Song Zhang
The numerical simulation of large-scale multiphase flow in porous media is of considerable importance across various application fields, particularly in the petroleum industry. The…
Massively parallel Schwarz methods for the high frequency Helmholtz equation
Yan Xie, Shihua Gong, Ivan G. Graham +2
We investigate the parallel one-level overlapping Schwarz method for solving finite element discretization of high-frequency Helmholtz equations. The resulting linear systems are l…
Recurrent Neural Operators: Stable Long-Term PDE Prediction
Zaijun Ye, Chen-Song Zhang, Wansheng Wang
Neural operators have emerged as powerful tools for learning solution operators of partial differential equations. However, in time-dependent problems, standard training strategies…
A MgNO Method for Multiphase Flow in Porous Media
Xinliang Liu, Xia Yang, Chen-Song Zhang +2
This research investigates the application of Multigrid Neural Operator (MgNO), a neural operator architecture inspired by multigrid methods, in the simulation for multiphase flow…
OpenCAEPoro: A Parallel Simulation Framework for Multiphase and Multicomponent Porous Media Flows
Shizhe Li, Chen-Song Zhang
OpenCAEPoro is a parallel numerical simulation software developed in C++ for simulating multiphase and multicomponent flows in porous media. The software utilizes a set of general-…