8 citations · 10 across the 7 of their papers we have counts for
8 papers
Uniform Inf-Sup Norm Equivalence and Robust Operator Preconditioning for Stokes Flow in tight domains with Periodic Pillars
Qi Xin, Yan Xie, Chen-song Zhang +2
Many microfluidic and porous-media computations reduce to the same core task: solving a Stokes saddle-point system on a domain perforated by a dense periodic array of pillars, as i…
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…
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…
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-…
An Improved Multi-Stage Preconditioner on GPUs for Compositional Reservoir Simulation
Li Zhao, Chen-Song Zhang, Chun-Sheng Feng +1
The compositional model is often used to describe multicomponent multiphase porous media flows in the petroleum industry. The fully implicit method with strong stability and weak c…
Parallel Multi-Stage Preconditioners with Adaptive Setup for the Black Oil Model
Li Zhao, Chunsheng Feng, Chensong Zhang +1
The black oil model is widely used to describe multiphase porous media flow in the petroleum industry. The fully implicit method features strong stability and weak constraints on t…