Discontinuous Galerkin methods with local time stepping for the nonlinear shallow water equations
Speaker: Yulong Xing, Ohio State University
Abstract: Shallow water equations (SWEs) with a non-flat bottom topography have been widely used to model flows in rivers and coastal areas. In this presentation, we will talk about the applications of high-order discontinuous Galerkin methods to this system. With carefully chosen numerical fluxes, we will show that the proposed methods are well-balanced and preserve the still water steady state exactly. For the temporal discretization, we propose the high order ADER-differential transform approach. Local time stepping strategy will also be studied to allows elements of different sizes to use different time steps. One- and two-dimensional numerical tests are performed to verify the well-balanced property, high-order accuracy, and good resolution for general solutions.
Room Reservation Information
Room Number: 114 McAllister
Time: 12:20pm - 1:30pm