Arbitrary order structure preserving discontinuous Galerkin methods for hyperbolic balance laws

：Dr. Yulong Xing
：2019-11-05 16:30
：实验楼108

      Speaker：Dr. Yulong Xing

                      The Ohio State University

Title:  Arbitrary order structure preserving discontinuous Galerkin methods for hyperbolic balance laws

       Time：5 Nov 2019, 16:30

 

Location：实验楼108

Abstract: Euler equations under gravitational fields shallow water equations with a non-flat bottom topography are two prototype hyperbolic conservation laws with source term (also named hyperbolic balance laws). They both have various applications in many fields. In this presentation, we will talk about arbitrary order structure preserving discontinuous Galerkin finite element methods which can exactly capture the non-trivial steady state solutions of these models, at the same time maintain the non-negativity of some physical quantities. Numerical tests are provided to verify the well-balanced property, positivity-preserving property, high-order accuracy, good resolution for both smooth discontinuous solutions.

 

 

        联系人：邱建贤教授