@Article{CiCP-21-1231,
author = {Cheng , JianLiu , XiaodongLiu , Tiegang and Luo , Hong},
title = {A Parallel, High-Order Direct Discontinuous Galerkin Method for the Navier-Stokes Equations on 3D Hybrid Grids},
journal = {Communications in Computational Physics},
year = {2019},
volume = {21},
number = {5},
pages = {1231--1257},
abstract = {<p style="text-align: justify;">A parallel, high-order direct Discontinuous Galerkin (DDG) method has
been developed for solving the three dimensional compressible Navier-Stokes equations on 3D hybrid grids. The most distinguishing and attractive feature of DDG
method lies in its simplicity in formulation and efficiency in computational cost. The
formulation of the DDG discretization for 3D Navier-Stokes equations is detailedly studied and the definition of characteristic length is also carefully examined and evaluated
based on 3D hybrid grids. Accuracy studies are performed to numerically verify the
order of accuracy using flow problems with analytical solutions. The capability in handling curved boundary geometry is also demonstrated. Furthermore, an SPMD (single
program, multiple data) programming paradigm based on MPI is proposed to achieve
parallelism. The numerical results obtained indicate that the DDG method can achieve
the designed order of accuracy and is able to deliver comparable results as the widely
used BR2 scheme, clearly demonstrating that the DDG method provides an attractive
alternative for solving the 3D compressible Navier-Stokes equations.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2016-0090},
url = {http://global-sci.org/intro/article_detail/cicp/13344.html}
}