A study of well-balanced finite volume methods and refinement indicators for the shallow water equations
This thesis studies solutions to the shallow water equations analytically and numerically. The study is separated into three parts. The first part is about well-balanced finite volume methods to solve steady and unsteady state problems. A method is said to be well-balanced if it preserves an unperturbed steady state at the discrete level. We implement hydrostatic reconstructions for the well-balanced methods with respect to the steady state of a lake at rest. Four combinations of quantity...[Show more]
|Collections||Open Access Theses|
|01Front_Mungkasi.pdf||Front Matter||293 kB||Adobe PDF|
|02Whole_Mungkasi.pdf||Whole Thesis||6.89 MB||Adobe PDF|
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