Improvement of generalized finite difference method for stochastic subsurface flow modeling
@article{Chen2020ImprovementOG, title={Improvement of generalized finite difference method for stochastic subsurface flow modeling}, author={Shang-Ying Chen and Kuo‐Chin Hsu and C. M. Fan}, journal={J. Comput. Phys.}, year={2020}, volume={429}, pages={110002} }
11 Citations
An Upwind Generalized Finite Difference Method for Meshless Solution of Two-phase Porous Flow Equations
- PhysicsEngineering Analysis with Boundary Elements
- 2022
An Upwind Generalized Finite Difference Method (GFDM) for Analysis of Heat and Mass Transfer in Porous Media
- Physics
- 2022
This study shows that this upwind GFDM, which can flexibly characterize the computational domain through allocation nodes without complicated mesh division and has sufficient accuracy, may have great potential to be developed as a general numerical simulator in the multi-physics coupling problem with complex geometry.
An upwind generalized finite difference method (GFDM) for meshless analysis of heat and mass transfer in porous media
- PhysicsComputational Particle Mechanics
- 2022
In this paper, an upwind GFDM is developed for the coupled heat and mass transfer problems in porous media. GFDM is a meshless method that can obtain the difference schemes of spatial derivatives by…
An Upwind General Finite Difference Method (GFDM) for Analysis of Heat and Mass Transfer in Porous Media
- PhysicsArXiv
- 2021
This study shows that this upwind GFDM, which can flexibly characterize the computational domain through allocation nodes without complicated mesh division and has sufficient accuracy, may have great potential to be developed as a general numerical simulator in the multi-physics coupling problem with complex geometry.
A Novel Meshless Method Based on the Virtual Construction of Node Control Domains for Porous Flow Problems
- Computer ScienceEngineering with Computers
- 2023
A novel meshless method that can handle porous flow problems with singular source terms is developed by virtually constructing the node control domains, abbreviated as NCDMM, which can also be regarded as an extended finite volume method (EFVM).
Simulation of antiplane shear problems with multiple inclusions using the generalized finite difference method
- EngineeringAppl. Math. Lett.
- 2021
Self-Adaptive Binary-Addition-Tree Algorithm-Based Novel Monte Carlo Simulation for Binary-State Network Reliability Approximation
- Computer ScienceArXiv
- 2022
A novel MCS, called the self-adaptive BAT-MCS, based on the binary-adaption-tree algorithm (BAT) and the proposed selfadaptive simulation-number algorithm is proposed to simply and effectively reduce the run time and variance of the MCS.
Generalized finite difference method based meshless analysis for coupled two-phase porous flow and geomechanics
- PhysicsEngineering Analysis with Boundary Elements
- 2023
Novel self-adaptive Monte Carlo simulation based on binary-addition-tree algorithm for binary-state network reliability approximation
- Computer ScienceReliab. Eng. Syst. Saf.
- 2022
A Meshless Numerical Modeling Method for Fractured Reservoirs Based on Extended Finite Volume Method
- Computer ScienceSPE Journal
- 2022
MFDFM retains the computational performances of the traditional mesh-based methods and can avoid the difficulties of handling complex geometry and complex boundary conditions of the computational domain, which is the first meshless numerical framework to model fractured reservoirs in parallel with the mesh- based discrete fracture model (DFM) and EDFM.
References
SHOWING 1-10 OF 48 REFERENCES
The Application of the Generalized Finite Difference Method (GFDM) for Modelling Geophysical Test
- GeologyJournal of Geoscience and Environment Protection
- 2019
The use of the GFDM is shown to model the aforementioned geophysical investigation tests showing precision in the obtained results when comparing them with experimental data.
Numerical solutions to statistical moment equations of groundwater flow in nonstationary, bounded, heterogeneous media
- Engineering
- 1998
In this paper we investigate the combined effect of nonstationarity in log hydraulic conductivity and the presence of boundaries on flow in heterogeneous aquifers. We derive general equations…
The generalized finite difference method for long-time dynamic modeling of three-dimensional coupled thermoelasticity problems
- MathematicsJ. Comput. Phys.
- 2019
Improvements of generalized finite difference method and comparison with other meshless method
- Mathematics
- 2003
Probabilistic Forecast of Single‐Phase Flow in Porous Media With Uncertain Properties
- EngineeringWater Resources Research
- 2019
Uncertainty about geologic makeup and properties of the subsurface renders inadequate a unique quantitative prediction of flow and transport. Instead, multiple alternative scenarios have to be…
Method of distributions for quantification of geologic uncertainty in flow simulations
- Geology
- 2020
Probabilistic models of subsurface flow and transport are required for risk assessment and reliable decision making under uncertainty. These applications require accurate estimates of confidence…
The generalized finite difference method for in-plane crack problems
- MathematicsEngineering Analysis with Boundary Elements
- 2019
Generalized finite difference method for solving two-dimensional non-linear obstacle problems
- Mathematics
- 2013
A combined scheme of generalized finite difference method and Krylov deferred correction technique for highly accurate solution of transient heat conduction problems
- Computer ScienceInternational Journal for Numerical Methods in Engineering
- 2018
Six numerical experiments show that the proposed hybrid KDC‐GFDM scheme allows big time step size for a long‐time dynamic simulation and has a great potential for the problems with complex boundaries.