Essentially non-oscillatory schemes applied to Buckley-Leverett equation with diffusive term
The purpose of this work was to investigate the flow of two-phase fluids via the Buckley-Leverett equation, corresponding to three types of scenarios applied in oil extraction, including a diffusive term. For this, a weighted essentially non-oscillatory scheme, a Runge-Kutta method and a central fin...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Escuela Politécnica Nacional (EPN)
2024-01-01
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| Series: | Latin-American Journal of Computing |
| Subjects: | |
| Online Access: | https://lajc.epn.edu.ec/index.php/LAJC/article/view/353 |
| _version_ | 1827355490629189632 |
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| author | Raphael de Oliveira Garcia Graciele Paraguaia Silveira |
| author_facet | Raphael de Oliveira Garcia Graciele Paraguaia Silveira |
| author_sort | Raphael de Oliveira Garcia |
| collection | DOAJ |
| description | The purpose of this work was to investigate the flow of two-phase fluids via the Buckley-Leverett equation, corresponding to three types of scenarios applied in oil extraction, including a diffusive term. For this, a weighted essentially non-oscillatory scheme, a Runge-Kutta method and a central finite difference were computationally implemented. In addition, a numerical study related to the precision order and stability was performed. The use of these methods made it possible to obtain numerical solutions without oscillations and without excessive numerical dissipation, sufficient to assist in the understanding of the mixing profiles of saturated water and petroleum fluids, inside pipelines filled with porous material, in addition to allowing the investigation of the impact of adding the diffusive term in the original equation. |
| first_indexed | 2024-03-08T04:26:18Z |
| format | Article |
| id | doaj.art-82f07809757a422b974fda23435350a5 |
| institution | Directory Open Access Journal |
| issn | 1390-9266 1390-9134 |
| language | English |
| last_indexed | 2024-03-08T04:26:18Z |
| publishDate | 2024-01-01 |
| publisher | Escuela Politécnica Nacional (EPN) |
| record_format | Article |
| series | Latin-American Journal of Computing |
| spelling | doaj.art-82f07809757a422b974fda23435350a52024-02-08T14:58:49ZengEscuela Politécnica Nacional (EPN)Latin-American Journal of Computing1390-92661390-91342024-01-011114255353Essentially non-oscillatory schemes applied to Buckley-Leverett equation with diffusive termRaphael de Oliveira Garcia0Graciele Paraguaia Silveira1Federal University of São PauloFederal University of São CarlosThe purpose of this work was to investigate the flow of two-phase fluids via the Buckley-Leverett equation, corresponding to three types of scenarios applied in oil extraction, including a diffusive term. For this, a weighted essentially non-oscillatory scheme, a Runge-Kutta method and a central finite difference were computationally implemented. In addition, a numerical study related to the precision order and stability was performed. The use of these methods made it possible to obtain numerical solutions without oscillations and without excessive numerical dissipation, sufficient to assist in the understanding of the mixing profiles of saturated water and petroleum fluids, inside pipelines filled with porous material, in addition to allowing the investigation of the impact of adding the diffusive term in the original equation.https://lajc.epn.edu.ec/index.php/LAJC/article/view/353numerical methodsimmiscible two-phase fluidpetroleum flow |
| spellingShingle | Raphael de Oliveira Garcia Graciele Paraguaia Silveira Essentially non-oscillatory schemes applied to Buckley-Leverett equation with diffusive term Latin-American Journal of Computing numerical methods immiscible two-phase fluid petroleum flow |
| title | Essentially non-oscillatory schemes applied to Buckley-Leverett equation with diffusive term |
| title_full | Essentially non-oscillatory schemes applied to Buckley-Leverett equation with diffusive term |
| title_fullStr | Essentially non-oscillatory schemes applied to Buckley-Leverett equation with diffusive term |
| title_full_unstemmed | Essentially non-oscillatory schemes applied to Buckley-Leverett equation with diffusive term |
| title_short | Essentially non-oscillatory schemes applied to Buckley-Leverett equation with diffusive term |
| title_sort | essentially non oscillatory schemes applied to buckley leverett equation with diffusive term |
| topic | numerical methods immiscible two-phase fluid petroleum flow |
| url | https://lajc.epn.edu.ec/index.php/LAJC/article/view/353 |
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