Locally Conservative Continuous Galerkin FEM for Pressure Equation in Two-Phase Flow Model in Subsurfaces
© 2017 Springer Science+Business Media, LLC A typical two-phase model for subsurface flow couples the Darcy equation for pressure and a transport equation for saturation in a nonlinear manner. In this paper, we study a combined method consisting of continuous Galerkin finite element methods (CGFEMs)...
| Main Authors: | , |
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| Format: | Journal Article |
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2017
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| Online Access: | http://hdl.handle.net/20.500.11937/65912 |
| _version_ | 1848761231424356352 |
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| author | Deng, Quanling Ginting, V. |
| author_facet | Deng, Quanling Ginting, V. |
| author_sort | Deng, Quanling |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2017 Springer Science+Business Media, LLC A typical two-phase model for subsurface flow couples the Darcy equation for pressure and a transport equation for saturation in a nonlinear manner. In this paper, we study a combined method consisting of continuous Galerkin finite element methods (CGFEMs) followed by a post-processing technique for Darcy equation and a nodal centered finite volume method (FVM) with upwind schemes for the saturation transport equation, in which the coupled nonlinear problem is solved in the framework of operator decomposition. The post-processing technique is applied to CGFEM solutions to obtain locally conservative fluxes which ensures accuracy and robustness of the FVM solver for the saturation transport equation. We applied both upwind scheme and upwind scheme with slope limiter for FVM on triangular meshes in order to eliminate the non-physical oscillations. Various numerical examples are presented to demonstrate the performance of the overall methodology. |
| first_indexed | 2025-11-14T10:28:23Z |
| format | Journal Article |
| id | curtin-20.500.11937-65912 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:28:23Z |
| publishDate | 2017 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-659122018-03-29T09:09:25Z Locally Conservative Continuous Galerkin FEM for Pressure Equation in Two-Phase Flow Model in Subsurfaces Deng, Quanling Ginting, V. © 2017 Springer Science+Business Media, LLC A typical two-phase model for subsurface flow couples the Darcy equation for pressure and a transport equation for saturation in a nonlinear manner. In this paper, we study a combined method consisting of continuous Galerkin finite element methods (CGFEMs) followed by a post-processing technique for Darcy equation and a nodal centered finite volume method (FVM) with upwind schemes for the saturation transport equation, in which the coupled nonlinear problem is solved in the framework of operator decomposition. The post-processing technique is applied to CGFEM solutions to obtain locally conservative fluxes which ensures accuracy and robustness of the FVM solver for the saturation transport equation. We applied both upwind scheme and upwind scheme with slope limiter for FVM on triangular meshes in order to eliminate the non-physical oscillations. Various numerical examples are presented to demonstrate the performance of the overall methodology. 2017 Journal Article http://hdl.handle.net/20.500.11937/65912 10.1007/s10915-017-0493-9 restricted |
| spellingShingle | Deng, Quanling Ginting, V. Locally Conservative Continuous Galerkin FEM for Pressure Equation in Two-Phase Flow Model in Subsurfaces |
| title | Locally Conservative Continuous Galerkin FEM for Pressure Equation in Two-Phase Flow Model in Subsurfaces |
| title_full | Locally Conservative Continuous Galerkin FEM for Pressure Equation in Two-Phase Flow Model in Subsurfaces |
| title_fullStr | Locally Conservative Continuous Galerkin FEM for Pressure Equation in Two-Phase Flow Model in Subsurfaces |
| title_full_unstemmed | Locally Conservative Continuous Galerkin FEM for Pressure Equation in Two-Phase Flow Model in Subsurfaces |
| title_short | Locally Conservative Continuous Galerkin FEM for Pressure Equation in Two-Phase Flow Model in Subsurfaces |
| title_sort | locally conservative continuous galerkin fem for pressure equation in two-phase flow model in subsurfaces |
| url | http://hdl.handle.net/20.500.11937/65912 |