Velocity dependent up-winding scheme for node control volume finite element method for fluid flow in porous media
<p>We present a novel velocity based up-winding scheme for the node control volume finite element (NCVFE) method. The NCVFE method solves for the pressure at the vertices of elements and a control volume mesh is constructed around them; where the advection of fluids is modelled. Therefore, eac...
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| المؤلف الرئيسي: | |
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| مؤلفون آخرون: | |
| منشور في: |
2020
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| الموضوعات: | |
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إضافة وسم
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| _version_ | 1864513566728519680 |
|---|---|
| author | Abdul Salam Abd (14151648) |
| author2 | Ahmad Abushaikha (14151906) |
| author2_role | author |
| author_facet | Abdul Salam Abd (14151648) Ahmad Abushaikha (14151906) |
| author_role | author |
| dc.creator.none.fl_str_mv | Abdul Salam Abd (14151648) Ahmad Abushaikha (14151906) |
| dc.date.none.fl_str_mv | 2020-03-10T06:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1038/s41598-020-61324-4 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Velocity_dependent_up-winding_scheme_for_node_control_volume_finite_element_method_for_fluid_flow_in_porous_media/21598152 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Engineering Fluid mechanics and thermal engineering Physical sciences Condensed matter physics Applied physics Fluid dynamics Reservoir simulation Fluid saturation profiles Darcy’s law Porous media Velocity fields Artificial smearing |
| dc.title.none.fl_str_mv | Velocity dependent up-winding scheme for node control volume finite element method for fluid flow in porous media |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p>We present a novel velocity based up-winding scheme for the node control volume finite element (NCVFE) method. The NCVFE method solves for the pressure at the vertices of elements and a control volume mesh is constructed around them; where the advection of fluids is modelled. Therefore, each element shares several control volumes, and traditionally the fluid saturations used in calculating the mobilities over each element − hence updating pressure − are arithmetically weighted. In this paper, we use the velocity vector to allocate the upstream direction of the fluid flow in each element and use the upstream fluid saturation in calculating the mobility needed for the pressure equation. We test his novel approach using triangle and tetrahedron elements, and we show that it produces more accurate fluid saturation profiles than the traditional approach. The method can easily be implemented in current NCVFE simulators.</p><h2>Other Information</h2> <p> Published in: Scientific Reports<br> License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="http://dx.doi.org/10.1038/s41598-020-61324-4" target="_blank">http://dx.doi.org/10.1038/s41598-020-61324-4</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_def539b11a0b51497b5342e55fc5d71d |
| identifier_str_mv | 10.1038/s41598-020-61324-4 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/21598152 |
| publishDate | 2020 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Velocity dependent up-winding scheme for node control volume finite element method for fluid flow in porous mediaAbdul Salam Abd (14151648)Ahmad Abushaikha (14151906)EngineeringFluid mechanics and thermal engineeringPhysical sciencesCondensed matter physicsApplied physicsFluid dynamicsReservoir simulationFluid saturation profilesDarcy’s lawPorous mediaVelocity fieldsArtificial smearing<p>We present a novel velocity based up-winding scheme for the node control volume finite element (NCVFE) method. The NCVFE method solves for the pressure at the vertices of elements and a control volume mesh is constructed around them; where the advection of fluids is modelled. Therefore, each element shares several control volumes, and traditionally the fluid saturations used in calculating the mobilities over each element − hence updating pressure − are arithmetically weighted. In this paper, we use the velocity vector to allocate the upstream direction of the fluid flow in each element and use the upstream fluid saturation in calculating the mobility needed for the pressure equation. We test his novel approach using triangle and tetrahedron elements, and we show that it produces more accurate fluid saturation profiles than the traditional approach. The method can easily be implemented in current NCVFE simulators.</p><h2>Other Information</h2> <p> Published in: Scientific Reports<br> License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="http://dx.doi.org/10.1038/s41598-020-61324-4" target="_blank">http://dx.doi.org/10.1038/s41598-020-61324-4</a></p>2020-03-10T06:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1038/s41598-020-61324-4https://figshare.com/articles/journal_contribution/Velocity_dependent_up-winding_scheme_for_node_control_volume_finite_element_method_for_fluid_flow_in_porous_media/21598152CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/215981522020-03-10T06:00:00Z |
| spellingShingle | Velocity dependent up-winding scheme for node control volume finite element method for fluid flow in porous media Abdul Salam Abd (14151648) Engineering Fluid mechanics and thermal engineering Physical sciences Condensed matter physics Applied physics Fluid dynamics Reservoir simulation Fluid saturation profiles Darcy’s law Porous media Velocity fields Artificial smearing |
| status_str | publishedVersion |
| title | Velocity dependent up-winding scheme for node control volume finite element method for fluid flow in porous media |
| title_full | Velocity dependent up-winding scheme for node control volume finite element method for fluid flow in porous media |
| title_fullStr | Velocity dependent up-winding scheme for node control volume finite element method for fluid flow in porous media |
| title_full_unstemmed | Velocity dependent up-winding scheme for node control volume finite element method for fluid flow in porous media |
| title_short | Velocity dependent up-winding scheme for node control volume finite element method for fluid flow in porous media |
| title_sort | Velocity dependent up-winding scheme for node control volume finite element method for fluid flow in porous media |
| topic | Engineering Fluid mechanics and thermal engineering Physical sciences Condensed matter physics Applied physics Fluid dynamics Reservoir simulation Fluid saturation profiles Darcy’s law Porous media Velocity fields Artificial smearing |