Discontinuous Galerkin methods with local time stepping for the nonlinear shallow water equations

Computational and Applied Mathematics Colloquium

Meeting Details

For more information about this meeting, contact Kristin Berrigan, John Harlim, Jinchao Xu.

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

Date: 02/24/2020

Time: 12:20pm - 1:30pm