Improvement of generalized finite difference method for stochastic subsurface flow modeling

@article{Chen2021ImprovementOG,
  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={2021},
  volume={429},
  pages={110002}
}
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11 Citations
Background Citations
1
Methods Citations
2

11 Citations

An Upwind Generalized Finite Difference Method for Meshless Solution of Two-phase Porous Flow Equations

An Upwind Generalized Finite Difference Method (GFDM) for Analysis of Heat and Mass Transfer in Porous Media

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

  • X. Rao
  • Physics
    Computational 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

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

  • X. Rao
  • Computer Science
    ArXiv
  • 2022
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

Self-Adaptive Binary-Addition-Tree Algorithm-Based Novel Monte Carlo Simulation for Binary-State Network Reliability Approximation

  • W. Yeh
  • Computer Science
    ArXiv
  • 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

Novel self-adaptive Monte Carlo simulation based on binary-addition-tree algorithm for binary-state network reliability approximation

  • W. Yeh
  • Computer Science
    Reliab. Eng. Syst. Saf.
  • 2022

A Meshless Numerical Modeling Method for Fractured Reservoirs Based on Extended Finite Volume Method

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

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