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

Liu Chen; Frank Florian; Alpak Faruk O.; Riviere Beatrice

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

机译：一种内部惩罚不连续的3D不可压缩Navier-Stokes方程的渗透性估算方程

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摘要

Permeability estimation of porous media from directly solving the Navier-Stokes equations has a wide spectrum of applications in petroleum industry. In this paper, we utilize a pressure-correction projection algorithm in conjunction with the interior penalty discontinuous Galerkin scheme for space discretization to build an incompressible Navier-Stokes simulator and to use this simulator to calculate permeability of real rock samples. The proposed method is accurate, numerically robust, and exhibits the potential for tackling realistic problems. (C) 2019 Elsevier Inc. All rights reserved.

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来源
《Journal of Computational Physics》 |2019年第1期|共18页
作者
Liu Chen; Frank Florian; Alpak Faruk O.; Riviere Beatrice;
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作者单位

Rice Univ Dept Computat &

Appl Math 6100 Main St Houston TX 77005 USA;

Friedrich Alexander Univ Erlangen Nurnberg Dept Math Cauerstr 11 D-91058 Erlangen Germany;

Rice Univ Dept Computat &

Appl Math 6100 Main St Houston TX 77005 USA;

Rice Univ Dept Computat &

Appl Math 6100 Main St Houston TX 77005 USA;

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原文格式 PDF
正文语种 eng
中图分类数学物理方法;
关键词
Incompressible Navier-Stokes equation; Interior penalty discontinuous Galerkin method; Projection method; Porous media;

机译：不可压缩的Navier-Stokes方程;内部惩罚不连续的Galerkin方法;投影方法;多孔介质;

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1. INTERIOR PENALTY BILINEAR IFE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC EQUATIONS WITH DISCONTINUOUS COEFFICIENT [J] . Xiaoming HE, Tao LIN, Yanping LIN 系统科学与复杂性：英文版 . 2010,第003期
2. INTERIOR PENALTY BILINEAR IFE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC EQUATIONS WITH DISCONTINUOUS COEFFICIENT [J] . Xiaoming HE, Tao LIN, Yanping LIN 系统科学与复杂性：英文版 . 2010,第003期
3. A Novel Staggered Semi-implicit Space-Time Discontinuous Galerkin Method for the Incompressible Navier-Stokes Equations [J] . F.L.Romeo, M.Dumbser, M.Tavelli 应用数学与计算数学学报(英文) . 2021,第004期
4. Adaptive Hybridized Interior Penalty Discontinuous Galerkin Methods for H(curl)-Elliptic Problems [J] . C.Carstensen, R.H.W.Hoppe, N.Sharma, 高等学校计算数学学报（英文版） . 2011,第001期
5. An unfitted interior penalty discontinuous Galerkin method for incompressible Navier-Stokes two-phase flow [J] . F. Heimann, C. Engwer, O. Ippisch, International Journal for Numerical Methods in Fluids . 2013,第3期

机译：不可压缩Navier-Stokes两相流的非拟合内部罚分不连续Galerkin方法
6. An unfitted interior penalty discontinuous Galerkin method for incompressible Navier-Stokes two-phase flow [J] . F. Heimann, C. Engwer, O. Ippisch, International Journal for Numerical Methods in Fluids . 2013,第3期

机译：不可压缩Navier-Stokes两相流的非拟合内部罚分不连续Galerkin方法
7. Penalty-free discontinuous Galerkin methods for incompressible Navier-Stokes equations [J] . Beatrice Riviere, Shirin Sardar Mathematical models and methods in applied sciences . 2014,第6期

机译：不可压缩的Navier-Stokes方程的无罚非连续Galerkin方法
8. A Hybridizable Discontinuous Galerkin Method forthe Incompressible Navier-Stokes Equations [C] . N. C. Nguyen, J. Peraire, B. Cockburn AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition . 2010

机译：一种杂交的不连续的Galerkin方法，用于不可压缩的Navier-Stokes方程
9. Convergence analysis of an adaptive Interior Penalty Discontinuous Galerkin method for the Helmholtz equation. [D] . Sharma, Natasha S. 2011

机译：Helmholtz方程的自适应内部惩罚间断Galerkin方法的收敛性分析。
10. A Numerical Method for Solving the 3D Unsteady Incompressible Navier-Stokes Equations in Curvilinear Domains with Complex Immersed Boundaries [O] . Liang Ge, Fotis Sotiropoulos -1

机译：具有复杂浸入边界的曲线域中求解3D非稳态不可压缩Navier-Stokes方程的数值方法
11. An interior penalty discontinuous Galerkin approach for 3D incompressible Navier–Stokes equation for permeability estimation of porous media [O] . Chen Liu, Florian Frank, Faruk O. Alpak, 2019

机译：用于多孔介质渗透性估算的3D不可压缩Navier-Stokes方程的内部惩罚不连续的Galerkin方法
12. Solution of the Time-Dependent Incompressible Navier-Stokes Equations Via a Penalty Galerkin Finite Element Method [R] . Sani, R. L., Eaton, B. E., Gresho, P. M., 1981

机译：用惩罚Galerkin有限元法求解时间不可压缩Navier-stokes方程

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

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