A Moving Mesh Finite Element Method for the Shallow Water Equations
نویسنده
چکیده
In this dissertation a moving mesh method finite element method is used to approximate moving boundary solutions to the shallow water equations. An Arbitrary Lagrangian Eulerian method is applied to an existing finite element scheme. Some exact solutions to the shallow water equations in a parabolic basin are shown for comparison. An investigation is conducted into the accuracy of the method. It is concluded that further work is required to address the build up of numerical errors around the boundary.
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