@Article{CiCP-7-3,
author = {},
title = {Implicit Discontinuous Galerkin Method for RANS Simulation Utilizing Pointwise Relaxation Algorithm},
journal = {Communications in Computational Physics},
year = {2010},
volume = {7},
number = {3},
pages = {510--533},
abstract = {<p style="text-align: justify;">An efficient implicit procedure for the Discontinuous Galerkin (DG) method
is developed utilizing a pointwise relaxation algorithm. In the pointwise relaxation,
those contributions from the degrees of freedom in own computational cell are accounted
for in the implicit matrix inversion. The resulting scheme is shown to be stable
with very large CFL numbers for both the Euler and the Navier-Stokes equations for
typical test problems. In order to achieve a faster convergence, efforts are also made
to reduce computing time of the present method by utilizing a p-multigrid scheme
and also by solving a simplified matrix instead of a fully loaded dense matrix in the
implicit matrix inversion. A superior performance of the present implicit DG method
on the parallel computer using up to 128 PEs is shown in terms of readily achievable
scalability and high parallel efficiency. The RANS simulation of turbulent flowfield
over AGARD-B model is carried out to show the convergence property and numerical
stability of the present implicit DG method for engineering applications.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.2009.09.055},
url = {https://global-sci.com/article/80991/implicit-discontinuous-galerkin-method-for-rans-simulation-utilizing-pointwise-relaxation-algorithm}
}