ADER discontinuous Galerkin schemes for aeroacoustics
ADER discontinuous Galerkin schemes for aeroacoustics
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DOI：
10.1016/j.crme.2005.07.008
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发表时间：
2005-09-01
影响因子：
0.8
通讯作者：
Munz, CD
中科院分区：
文献类型：
--
作者：
Dumbser, M;Munz, CD
在本文中，我们应用ADER方法的间断伽辽金（DG）框架的二维线性化欧拉方程。其结果是一个有效的高阶精度的单步格式的时间，使用更少的存储比Runge-Kutta DG格式，特别是对于非常高的阶精度。其目的是获得一个任意精确的计划在空间和时间上的非结构化网格精确的噪声传播在时域中非常复杂的几何形状。我们将介绍ADER-DG方法在结构和非结构网格上的空间和时间精度达到10阶的数值收敛速度。引用这篇文章：M。Dumbser，C-D.曼茨角R. Mecanique 333（2005年）。(c)2005年，任科学院院士。出版社：Elsevier SAS All rights reserved.
In this paper we apply the ADER approach to the Discontinuous Galerkin (DG) framework for the two-dimensional linearized Euler equations. The result is an efficient high order accurate single-step scheme in time which uses less storage than Runge-Kutta DG schemes, especially for very high order of accuracy. The aim is to obtain an arbitrarily accurate scheme in space and time on unstructured grids for accurate noise propagation in the time domain in very complex geometries. We will present numerical convergence rates for ADER-DG methods up to 10th order of accuracy in space and time on structured and unstructured meshes. To cite this article: M. Dumbser, C-D. Manz, C. R. Mecanique 333 (2005). (c) 2005 Academic des sciences. Published by Elsevier SAS. All rights reserved.