Development of a three-dimensional hydrodynamic model based on the discontinuous Galerkin method

G Ran, Q Zhang, Z Chen - Water, 2022 - mdpi.com
Though the discontinuous Galerkin method is attracting more and more applications in many
fields due to its local conservation, high-order accuracy, and flexibility for resolving complex …

Initial guesses for sequences of linear systems in a GPU-accelerated incompressible flow solver

AP Austin, N Chalmers, T Warburton - SIAM Journal on Scientific Computing, 2021 - SIAM
We consider several methods for generating initial guesses when iteratively solving
sequences of linear systems, showing that they can be implemented efficiently in GPU …

[PDF][PDF] OKL: A unified language for parallel architectures

D Medina - 2015 - repository.rice.edu
With the collapse of single-processor computing in the high performance computing (HPC)
field, a wave of parallel-computing has emerged. Alongside the paradigm shift of …

Development of an efficient wetting and drying treatment for shallow‐water modeling using the quadrature‐free Runge‐Kutta discontinuous Galerkin method

L Li, Q Zhang - International Journal for Numerical Methods in …, 2021 - Wiley Online Library
To develop a robust, well‐balanced and quadrature‐free Runge‐Kutta discontinuous
Galerkin (RKDG) shallow water solver, we introduce an efficient wetting and drying (WD) …

A novel entropy stable discontinuous Galerkin spectral element method for the shallow water equations on GPUs

N Wintermeyer - 2018 - kups.ub.uni-koeln.de
In dieser Arbeit präsentieren wir ein neues Discontinuous Galerkin Spektrale Elemente
Verfahren hoher Ordnung zur Approximation der nicht-linearen Flachwassergleichungen …

[HTML][HTML] Reduced storage nodal discontinuous Galerkin methods on semi-structured prismatic meshes

J Chan, Z Wang, RJ Hewett, T Warburton - Computers & Mathematics with …, 2017 - Elsevier
We present a high order time-domain nodal discontinuous Galerkin method for wave
problems on hybrid meshes consisting of both wedge and tetrahedral elements. We allow …

[PDF][PDF] A Parallel Aggregation Algorithm for Inter-Grid Transfer Operators in Algebraic Multigrid

NAG Hilares - 2019 - vtechworks.lib.vt.edu
As finite element discretizations ever grow in size to address real-world problems, there is
an increasing need for fast algorithms. Nowadays there are many GPU/CPU parallel …