Generalized finite difference method (GFDM) based analysis for subsurface flow problems in anisotropic formation

W Zhan, X Rao, H Zhao, H Zhang, S Hu… - Engineering Analysis with …, 2022 - Elsevier
This paper applies the meshless generalized finite difference method (GFDM) to analyze the
subsurface flow problem in anisotropic formations for the first time, and develops the …

A novel meshless method based on the virtual construction of node control domains for porous flow problems

X Rao, H Zhao, Y Liu - Engineering with Computers, 2024 - Springer
In this paper, a novel meshless method that can handle porous flow problems with singular
source terms is developed by virtually constructing node control domains. By defining a …

An upwind generalized finite difference method (GFDM) for meshless analysis of heat and mass transfer in porous media

X Rao - Computational Particle Mechanics, 2023 - Springer
In this paper, an upwind GFDM is developed for coupled heat and mass transfer problems in
porous media. GFDM is a meshless method that can obtain the difference schemes of …

Generalized finite difference method based meshless analysis for coupled two-phase porous flow and geomechanics

Y Liu, X Rao, H Zhao, W Zhan, Y Xu, Y Liu - Engineering Analysis with …, 2023 - Elsevier
This paper applies GFDM to analyze coupled two-phase flow and geomechanics for the first
time, to our knowledge, is also the first meshless solver for two-phase fluid-solid coupling …

Application of meshless generalized finite difference method (GFDM) in single-phase coupled heat and mass transfer problem in three-dimensional porous media

Q Zhang, W Zhan, Y Liu, H Zhao, K Xu, X Rao - Physics of Fluids, 2024 - pubs.aip.org
This paper achieves effective and precise meshless modeling of three-dimensional (3D)
single-phase coupled heat and mass transfer problems based on the generalized finite …

[HTML][HTML] A meshless numerical modeling method for fractured reservoirs based on extended finite volume method

X Rao, H Zhao, Y Liu - SPE Journal, 2022 - onepetro.org
In this paper, a meshless numerical modeling method named mesh-free discrete fracture
model (MFDFM) of fractured reservoirs based on the newly developed extended finite …

Generalized finite difference method-based numerical modeling of oil–water two-phase flow in anisotropic porous media

W Zhan, H Zhao, X Rao, Y Liu - Physics of Fluids, 2023 - pubs.aip.org
This paper applies generalized finite difference method (GFDM) to a compressible two-
phase flow in anisotropic porous media with the aim of further extending the wider …

Numerical simulation of wave propagation by using a hybrid method with an arbitrary order accuracy in both spatial and temporal approximations

H Ma, W Sun, W Qu, Y Gu, PW Li - Engineering Analysis with Boundary …, 2024 - Elsevier
This paper introduces an innovative numerical methodology designed to achieve high
precision solution of acoustic wave propagation problem in isotropic material. During the …

A three-dimensional numerical model for variably saturated groundwater flow using meshless weak-strong form method

J Fang, MZ Al-Hamdan, AM O'Reilly, Y Ozeren… - … Modelling & Software, 2024 - Elsevier
Meshless numerical models have attracted much attention due to the circumvention of
troublesome mesh generation. Current meshless numerical groundwater (GW) models …

A connection element method: Both a new computational method and a physical data-driven framework—-Take subsurface two-phase flow as an example

H Zhao, W Zhan, Z Yuhui, T Zhang, H Li… - Engineering Analysis with …, 2023 - Elsevier
In traditional reservoir simulation methods, the computational domain is often discretized
into a grid system (FDM, FVM, FEM, etc.) or a mesh reduction system (point source solution …