# An interior penalty discontinuous Galerkin approach for 3D incompressible Navier-Stokes equation for permeability estimation of porous media

@article{Liu2018AnIP, title={An interior penalty discontinuous Galerkin approach for 3D incompressible Navier-Stokes equation for permeability estimation of porous media}, author={Chen Liu and Florian Frank and Faruk Omer Alpak and B{\'e}atrice M. Rivi{\`e}re}, journal={J. Comput. Phys.}, year={2018}, volume={396}, pages={669-686} }

## 12 Citations

### An efficient numerical algorithm for solving viscosity contrast Cahn-Hilliard-Navier-Stokes system in porous media

- Computer ScienceJ. Comput. Phys.
- 2020

### Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations

- Computer ScienceArXiv
- 2021

The pressure correction scheme is combined with interior penalty discontinuous Galerkin method to solve the time-dependent Navier-Stokes equations. Optimal error estimates are derived for the…

### A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows

- MathematicsJ. Comput. Phys.
- 2022

### Convergence of a Decoupled Splitting Scheme for the Cahn-Hilliard-Navier-Stokes System

- MathematicsArXiv
- 2022

. This paper is devoted to the analysis of an energy-stable discontinuous Galerkin algo- rithm for solving the Cahn–Hilliard–Navier–Stokes equations within a decoupled splitting framework. We show…

### Optimal Error Estimates of a Discontinuous Galerkin Method for the Navier-Stokes Equations

- MathematicsArXiv
- 2021

The estiablished semi-discrete error estimates related to the L(L)-norm of velocity and L (L-norm of pressure are optimal and sharper than those derived in the earlier articles.

### A Priori Error Estimates of a Discontinuous Galerkin Finite Element Method for the Kelvin-Voigt Viscoelastic Fluid Motion Equations

- MathematicsArXiv
- 2022

This paper applies a discontinuous Galerkin finite element method to the Kelvin-Voigt viscoelastic fluid motion equations when the forcing function is in L(L)-space. Optimal a priori error estimates…

### Estimating permeability of 3D micro-CT images by physics-informed CNNs based on DNS

- Computer ScienceComputational Geosciences
- 2023

A novel methodology for permeability prediction from micro-CT scans of geological rock samples by solving the stationary Stokes equation in an efficient and distributed-parallel manner and thereby improving the generality and accuracy of the training data set.

### An Electrodiffusion Model Coupled with Fluid-Flow Effects for an On-Chip Electromembrane Extraction System

- PhysicsTransport in Porous Media
- 2021

This paper proposes the first computational modeling of a miniaturized version of an electromembrane extraction (EME) setup to a chip format, where the donor solution is delivered by a syringe pump…

### Three interior penalty DG methods for stationary incompressible magnetohydrodynamics

- Journal of Computational and Applied Mathematics
- 2023

### Fully discrete finite element error analysis of a discontinuous Galerkin method for the Kelvin-Voigt viscoelastic fluid model

- Computer ScienceComput. Math. Appl.
- 2023

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