Bibliographic Details
| Title: |
High-order entropy stable discontinuous Galerkin methods for the shallow water equations: curved triangular meshes and GPU acceleration |
| Authors: |
Wu, Xinhui, Chan, Jesse, Kubatko, Ethan |
| Publication Year: |
2020 |
| Collection: |
Computer Science
Mathematics |
| Subject Terms: |
Mathematics - Numerical Analysis, Computer Science - Computational Engineering, Finance, and Science |
| More Details: |
We present a high-order entropy stable discontinuous Galerkin (ESDG) method for the two dimensional shallow water equations (SWE) on curved triangular meshes. The presented scheme preserves a semi-discrete entropy inequality and remains well-balanced for continuous bathymetry profiles. We provide numerical experiments which confirm the high-order accuracy and theoretical properties of the scheme, and compare the presented scheme to an entropy stable scheme based on simplicial summation-by-parts (SBP) finite difference operators. Finally, we report the computational performance of an implementation on Graphics Processing Units (GPUs) and provide comparisons to existing GPU-accelerated implementations of high-order DG methods on quadrilateral meshes. |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2005.02516 |
| Accession Number: |
edsarx.2005.02516 |
| Database: |
arXiv |
