dc.contributor.author |
Kanbar, Farah Mohamad, |
dc.date.accessioned |
2017-12-11T16:29:12Z |
dc.date.available |
2017-12-11T16:29:12Z |
dc.date.issued |
2017 |
dc.date.submitted |
2017 |
dc.identifier.other |
b1920761x |
dc.identifier.uri |
http://hdl.handle.net/10938/20924 |
dc.description |
Thesis. M.S. American University of Beirut. Department of Mathematics, 2017. T:6637 |
dc.description |
Advisor : Dr. Nabil Nassif, Professor, Mathematics ; Committee members : Dr. Issam El Lakkis, Associate Professor, FEA ; Dr. Sophie Moufawad, Assistant Professor, Mathematics, Dr. Rony Touma, Associate Professor, Mathematics, LAU. |
dc.description |
Includes bibliographical references (leaves 61- 64) |
dc.description.abstract |
In this thesis we present a new well-balanced, non-oscillatory, second-order accurate central scheme for the numerical solution of the two-dimensional shallow water equations (SWE) with wet and dry states. The numerical scheme is a central scheme that follows a classical Riemannfree finite volume method and that evolves the numerical solution on a single Cartesian grid. Most numerical schemes generate numerical instabilities, such as negative water heights, when considered with wet and dry regions. The developed well-balanced numerical scheme is capable of maintaing, when necessary, the steady state requirement of SWE systems, along with a proper and clean interaction between wet and dry states whenever water run-ups are present. The developed scheme is then validated and the numerical solution of recent two-dimensional SWE problems is reported. |
dc.format.extent |
1 online resource (vi, 64 leaves) : illustrations |
dc.language.iso |
eng |
dc.relation.ispartof |
Theses, Dissertations, and Projects |
dc.subject.classification |
T:006637 |
dc.subject.lcsh |
Numerical analysis. |
dc.subject.lcsh |
Fluid dynamics -- Mathematical models. |
dc.subject.lcsh |
Computational grids (Computer systems) |
dc.subject.lcsh |
Finite volume method. |
dc.subject.lcsh |
Scheme (Computer program language) |
dc.subject.lcsh |
Tsunamis -- Simulation methods. |
dc.title |
Central scheme for systems of shallow water equations with wet and dry states - |
dc.type |
Thesis |
dc.contributor.department |
Faculty of Arts and Sciences. |
dc.contributor.department |
Department of Mathematics, |
dc.contributor.institution |
American University of Beirut. |