arrow
返回

MONOLITHIC MULTIGRID METHODS FOR MAGNETOHYDRODYNAMICS

delete2021-02-16
delete11
delete
OA
AI
J
James H. Adler *
T
Thomas R. Benson
E
Eric C. Cyr
P
Patrick E. Farrell
S
Scott MacLachlan
R
Ray Tuminaro
DOI:10.1137/20M1348364delete
delete原文链接
delete原文求助
delete分享
delete收藏
摘要

摘要

En 中文
The magnetohydrodynamics equations model a wide range of plasma physics appli-cations and are characterized by a nonlinear system of partial differential equations that strongly couples a charged fluid with the evolution of electromagnetic fields. After discretization and lin-earization, the resulting system of equations is generally difficult to solve due to the coupling between variables and the heterogeneous coefficients induced by the linearization process. In this paper, we investigate multigrid preconditioners for this system based on specialized relaxation schemes that properly address the system structure and coupling. Three extensions of Vanka relaxation are pro-posed and applied to problems with up to 170 million degrees of freedom and fluid and magnetic Reynolds numbers up to 400 for stationary problems and up to 20,000 for time-dependent problems.
Keyword:
magnetohydrodynamics
monolithic multigrid
Vanka relaxation

期刊

SIAM Journal on Scientific Computing 封面图
SIAM Journal on Scientific Computing
IF:
2.6
论文数:
5.1K
被引数:
1.8W

机构

T
tufts university
学者数:
1.7W
论文数: 1.5W
被引数: 24
L
Lawrence Livermore National Laboratory
学者数:
6.0K
论文数: 3.8K
被引数: 9
U
united states department of energy (doe)
学者数:
11.3W
论文数: 9.6W
被引数: 246
S
Sandia National Laboratories
学者数:
5.5K
论文数: 3.8K
被引数: 6.4K
学者 查看更多机构
引用论文

引用论文

err分享
err收藏
Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods
err2010-10-01
err84
errOAAI
errShadid, J. N.; Pawlowski, R. P.; Banks, J. W.; Chacon, L.; Lin, P. T.; Tuminaro, R. S.
err分享
err收藏
Cellulose/casein blend membranes from NaOH/urea solution
err2001-07-11
err0
PREAI
errGuang Yang; Lina Zhang; Hongwei Han; Jinping Zhou
err分享
err收藏
err分享
err收藏
学者 查看更多内容