Achieving a sustainable environment using numerical method for the solution of advection equation in fluid dynamics
The paper compares some explicit numerical methods for solving the advection equation that could be used to describe transportation of a pollutant in one direction. The one-dimensional advection equation is solved by using five different standard finite difference schemes (the Upwind, FTCS, Lax-Fri...
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| Format: | Article |
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The Italian Association of Chemical Engineering
2018
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| _version_ | 1796863779812671488 |
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| author | Olaijua, Olusegun Adeyemi Hoe, Yeak Su Ogunbodeb, Ezekiel Babatunde Fabi, Jonathan Kehinde Egba, Ernest Ituma |
| author_facet | Olaijua, Olusegun Adeyemi Hoe, Yeak Su Ogunbodeb, Ezekiel Babatunde Fabi, Jonathan Kehinde Egba, Ernest Ituma |
| author_sort | Olaijua, Olusegun Adeyemi |
| collection | ePrints |
| description | The paper compares some explicit numerical methods for solving the advection equation that could be used to describe transportation of a pollutant in one direction. The one-dimensional advection equation is solved by using five different standard finite difference schemes (the Upwind, FTCS, Lax-Friedrichs, Lax wendroff and Leith’s methods) via C codes. An example is used for comparison; the numerical results are compared with analytical solution. It is found that, for the example studied, all the explicit finite difference methods give satisfactory solutions to the advection problem. |
| first_indexed | 2024-03-05T20:31:52Z |
| format | Article |
| id | utm.eprints-84108 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T20:31:52Z |
| publishDate | 2018 |
| publisher | The Italian Association of Chemical Engineering |
| record_format | dspace |
| spelling | utm.eprints-841082019-12-16T01:56:53Z http://eprints.utm.my/84108/ Achieving a sustainable environment using numerical method for the solution of advection equation in fluid dynamics Olaijua, Olusegun Adeyemi Hoe, Yeak Su Ogunbodeb, Ezekiel Babatunde Fabi, Jonathan Kehinde Egba, Ernest Ituma QA Mathematics The paper compares some explicit numerical methods for solving the advection equation that could be used to describe transportation of a pollutant in one direction. The one-dimensional advection equation is solved by using five different standard finite difference schemes (the Upwind, FTCS, Lax-Friedrichs, Lax wendroff and Leith’s methods) via C codes. An example is used for comparison; the numerical results are compared with analytical solution. It is found that, for the example studied, all the explicit finite difference methods give satisfactory solutions to the advection problem. The Italian Association of Chemical Engineering 2018 Article PeerReviewed Olaijua, Olusegun Adeyemi and Hoe, Yeak Su and Ogunbodeb, Ezekiel Babatunde and Fabi, Jonathan Kehinde and Egba, Ernest Ituma (2018) Achieving a sustainable environment using numerical method for the solution of advection equation in fluid dynamics. Chemical Engineering Transactions, 63 . pp. 631-636. ISSN 2283-9216 https://www.aidic.it/cet/18/63/106.pdf |
| spellingShingle | QA Mathematics Olaijua, Olusegun Adeyemi Hoe, Yeak Su Ogunbodeb, Ezekiel Babatunde Fabi, Jonathan Kehinde Egba, Ernest Ituma Achieving a sustainable environment using numerical method for the solution of advection equation in fluid dynamics |
| title | Achieving a sustainable environment using numerical method for the solution of advection equation in fluid dynamics |
| title_full | Achieving a sustainable environment using numerical method for the solution of advection equation in fluid dynamics |
| title_fullStr | Achieving a sustainable environment using numerical method for the solution of advection equation in fluid dynamics |
| title_full_unstemmed | Achieving a sustainable environment using numerical method for the solution of advection equation in fluid dynamics |
| title_short | Achieving a sustainable environment using numerical method for the solution of advection equation in fluid dynamics |
| title_sort | achieving a sustainable environment using numerical method for the solution of advection equation in fluid dynamics |
| topic | QA Mathematics |
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