@inproceedings{6ec1fd09285745a4bee6acd3dbeba83a,
title = "A pointwise relaxation computation of viscous compressible flowfield using discontinuous Galerkin method",
abstract = "An implicit Discontinuous Galerkin scheme for conservation laws on unstructured mesh system is developed utilizing a pointwise relaxation algorithm. First, we solve the linear hyperbolic equation to examine the order of spatial accuracy and also the convergence property of the scheme. The Euler equations in two-dimensional space are then solved by the present pointwise relaxation scheme assuming a second order of spatial accuracy. We also focus on to examine the case of using a hybrid mesh system. Then we extend the present method to solve the Navier-Stokes equations. It is shown that the present pointwise relaxation method can maintain numerical stability even with very large CFL numbers, and can converge to machine zero.",
author = "Kanako Yasue and Naofumi Ohnishi and Keisuke Sawada",
year = "2006",
month = jan,
day = "1",
doi = "10.2514/6.2006-3893",
language = "English",
isbn = "1563478102",
series = "Collection of Technical Papers - 36th AIAA Fluid Dynamics Conference",
publisher = "American Institute of Aeronautics and Astronautics Inc.",
pages = "2524--2537",
booktitle = "Collection of Technical Papers - 36th AIAA Fluid Dynamics Conference",
note = "36th AIAA Fluid Dynamics Confernce ; Conference date: 05-06-2006 Through 08-06-2006",
}