Well-Balanced Unstaggered Central Schemes for Models of Transport of Pollutant in Shallow Water Equations

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dc.contributor.author Abou Saleh, Mira
dc.date.accessioned 2022-04-12T06:27:11Z
dc.date.available 2022-04-12T06:27:11Z
dc.date.copyright 2020 en_US
dc.date.issued 2020-07-28
dc.identifier.uri http://hdl.handle.net/10725/13475
dc.description.abstract We present in this thesis a new well-balanced unstaggered central scheme for computing the transport of pollutants in water flows. The shallow water equations are used to model the water flow, and a transport equation is used to model the propagation of the pollutant. Our proposed scheme avoids the resolution of Riemann problems arising at the cell interfaces; it is second order accurate in space and time, evolves the numerical solution on a single grid and benefits from the non-dissipativeness of the particle method. Our scheme is also well-balanced due to a special discretization of the source term with the surface gradient method. We implement the proposed scheme and solve some selected problems featuring transport of pollutant. Accurate pollutant’s location and concentration are observed and reported in the numerical test cases. en_US
dc.language.iso en en_US
dc.subject Pollution -- Mathematical models en_US
dc.subject Water -- Pollution -- Mathematical models en_US
dc.subject Wave equation -- Numerical solutions en_US
dc.subject Finite element method en_US
dc.subject Dam failures -- Mathematical models en_US
dc.subject Lebanese American University -- Dissertations en_US
dc.subject Dissertations, Academic en_US
dc.title Well-Balanced Unstaggered Central Schemes for Models of Transport of Pollutant in Shallow Water Equations en_US
dc.type Thesis en_US
dc.term.submitted Spring en_US
dc.author.degree MS in Applied and Computational Mathematics en_US
dc.author.school SAS en_US
dc.author.idnumber 201503012 en_US
dc.author.commembers Issa, Leila
dc.author.commembers Zgheib, Nadim
dc.author.department Computer Science And Mathematics en_US
dc.description.physdesc 1 online resource (xi, 71 leaves) : col. ill. en_US
dc.author.advisor Touma, Rony
dc.keywords Unstaggered central scheme en_US
dc.keywords well-balanced discretizations en_US
dc.keywords transport of pollutant en_US
dc.keywords shallow water equations en_US
dc.keywords particle method en_US
dc.description.bibliographiccitations Bibliography: leaf 68-71. en_US
dc.identifier.doi https://doi.org/10.26756/th.2022.311
dc.author.email mira.abousaleh@lau.edu.lb en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/thesis.php en_US
dc.publisher.institution Lebanese American University en_US
dc.author.affiliation Lebanese American University en_US

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