@Article{CiCP-18-1,
author = {},
title = {GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations},
journal = {Communications in Computational Physics},
year = {2015},
volume = {18},
number = {1},
pages = {37--64},
abstract = {<p style="text-align: justify;">We discuss the development, verification, and performance of a GPU accelerated
discontinuous Galerkin method for the solutions of two dimensional nonlinear
shallow water equations. The shallow water equations are hyperbolic partial differential
equations and are widely used in the simulation of tsunami wave propagations.
Our algorithms are tailored to take advantage of the single instruction multiple data
(SIMD) architecture of graphic processing units. The time integration is accelerated by
local time stepping based on a multi-rate Adams-Bashforth scheme. A total variational
bounded limiter is adopted for nonlinear stability of the numerical scheme. This limiter
is coupled with a mass and momentum conserving positivity preserving limiter
for the special treatment of a dry or partially wet element in the triangulation. Accuracy,
robustness and performance are demonstrated with the aid of test cases. Furthermore,
we developed a unified multi-threading model OCCA. The kernels expressed
in OCCA model can be cross-compiled with multi-threading models OpenCL, CUDA,
and OpenMP. We compare the performance of the OCCA kernels when cross-compiled
with these models.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.070114.271114a},
url = {https://global-sci.com/article/80309/gpu-accelerated-discontinuous-galerkin-methods-for-shallow-water-equations}
}