An upwind generalized finite difference method for meshless solution of two-phase porous flow equations

X Rao, Y Liu, H Zhao - Engineering Analysis with Boundary Elements, 2022 - Elsevier
This paper makes the first attempt to apply newly developed upwind GFDM for the meshless
solution of two-phase porous flow equations. In the presented method, node cloud is used to …

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 …

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 …

[HTML][HTML] Particle-based adaptive coupling of 3D and 2D fluid flow models

P Suchde - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
This paper proposes the notion of model adaptivity for fluid flow modelling, where the
underlying model (the governing equations) is adaptively changed in space and time …

Volume and mass conservation in lagrangian meshfree methods

P Suchde, C Leithäuser, J Kuhnert… - arXiv preprint arXiv …, 2023 - arxiv.org
Meshfree Lagrangian frameworks for free surface flow simulations do not conserve fluid
volume. Meshfree particle methods like SPH are not mimetic, in the sense that discrete mass …

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 …