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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:396

Article

Liu, Chen¹  Frank, Florian²  Alpak, Faruk O.^1,3  Riviere, Beatrice¹ 

[1] Rice Univ, Dept Computat & Appl Math, 6100 Main St, Houston, TX 77005 USA

[2] Friedrich Alexander Univ Erlangen Nurnberg, Dept Math, Cauerstr 11, D-91058 Erlangen, Germany

[3] Shell Technol Ctr, 3333 Highway 6 South, Houston, TX 77082 USA

关键词: Incompressible Navier-Stokes equation;    Interior penalty discontinuous Galerkin method;    Projection method;    Porous media;   

DOI  :  10.1016/j.jcp.2019.06.052

来源: Elsevier

【 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.

【 授权许可】

Free